WO2020011183A1

WO2020011183A1 - Secure multiparty computation method, device, and system

Info

Publication number: WO2020011183A1
Application number: PCT/CN2019/095369
Authority: WO
Inventors: 谢翔; 李升林; 孙立林
Original assignee: 云图有限公司
Priority date: 2018-07-10
Filing date: 2019-07-10
Publication date: 2020-01-16
Also published as: CN108809623A; CN108809623B

Abstract

A secure multiparty computation method, device, and system. The secure multiparty computation method comprises: converting a computation function into an initial logic circuit (S101); selecting multiple pairs of random number so as to form an input label and an auxiliary label (S102); processing a first function, the initial logic circuit, the input label, and the auxiliary label correspondingly, so as to obtain a first processing result (S103); sending the first processing result to a first outsourced computation device (S104); receiving an initial first sub-circuit generated by the first outsourced computation device according to the first processing result (S105); processing the initial first sub-circuit so as to obtain an encrypted circuit (S106); obtaining a first sub-input label according to input data corresponding to the initial logic circuit and the input label (S107); sending the encrypted circuit and the first sub-input label to a second secure multiparty computation device (S108); and receiving a computation result from the second secure multiparty computation device (S109). According to the method, fewer local resources are occupied, and the computation efficiency and the performance of the secure multiparty computation technology are improved.

Description

Safe multi-party calculation method, device and system

Technical field

The invention relates to the technical field of cryptography, and in particular, to a secure multi-party computing method, device and system.

Background technique

Secure multiparty computing has been an active research direction in the field of cryptography. Secure multi-party computing refers to the case where there is no trusted third party, multiple participants jointly calculate a function, so that all participants can calculate the calculation results, but will not disclose the input information of each party. In secure multiparty computing, the most common and effective way is to use a encrypted circuit and inadvertent transmission.

The main idea of the encryption circuit is to represent the function that needs to be calculated as a logic circuit, and do the encryption operation for each logic gate one by one. Both the encryption and decryption operations in the prior art are performed locally, occupying local resources, and reducing the computing efficiency and the performance of the secure multi-party computing technology.

Summary of the invention

The main purpose of the embodiments of the present invention is to provide a secure multiparty computing method, device, and system to reduce local resource occupation, improve computing efficiency, and performance of the secure multiparty computing technology.

In order to achieve the foregoing objective, an embodiment of the present invention provides a secure multi-party computing method, including:

Convert the calculation function into an initial logic circuit;

Select multiple pairs of random numbers to form input tags and auxiliary tags;

Process the first function, the initial logic circuit, the input label, and the auxiliary label accordingly to obtain a first processing result;

Sending the first processing result to the first outsourced computing device;

Receiving an initial first sub-circuit generated by a first outsourced computing device according to a first processing result;

Processing the initial first sub-circuit to obtain an encryption circuit;

Obtaining the first sub-input label according to the input data corresponding to the initial logic circuit and the input label;

Sending the encryption circuit and the first sub-input tag to a second secure multiparty computing device;

Receive a calculation result from a second secure multiparty computing device.

An embodiment of the present invention further provides a secure multi-party calculation method, including:

Receiving an encryption circuit and a first sub-input tag from a first secure multiparty computing device;

Obtaining a second sub-input label according to the first sub-input label;

Perform corresponding processing on the second function, the encryption circuit, the first sub-input label, and the second sub-input label to obtain a second processing result;

Sending the second processing result to a second outsourced computing device;

Receiving an initial sub-calculation result generated by the second outsourced computing device according to the second processing result;

Process the initial sub-calculation results to obtain the calculation results;

The calculation result is sent to the first secure multiparty computing device.

An embodiment of the present invention further provides a first secure multiparty computing device, including:

A conversion unit for converting a calculation function into an initial logic circuit;

A label unit, which is used to select multiple pairs of random numbers to form an input label and an auxiliary label;

A first processing result unit, configured to perform corresponding processing on a first function, an initial logic circuit, an input label, and an auxiliary label to obtain a first processing result;

A first sending unit, configured to send a first processing result to a first outsourced computing device; send an encryption circuit and a first sub-input tag to a second secure multiparty computing device;

A first receiving unit, configured to receive an initial first sub-circuit generated by a first outsourced computing device according to a first processing result; and receive a calculation result from a second secure multiparty computing device;

An encryption circuit unit, configured to process an initial first sub-circuit to obtain an encryption circuit;

The first sub-input label unit is configured to obtain a first sub-input label according to the input data corresponding to the initial logic circuit and the input label.

An embodiment of the present invention further provides a second secure multiparty computing device, including:

A second receiving unit, configured to receive the encryption circuit and the first sub-input tag from the first secure multi-party computing device; and receive the initial sub-computation result generated by the second outsourced computing device according to the second processing result;

A second sub-input label unit, configured to obtain a second sub-input label according to the first sub-input label;

A second processing result unit, configured to perform corresponding processing on the second function, the encryption circuit, the first sub-input label, and the second sub-input label to obtain a second processing result;

A second sending unit, configured to send the second processing result to the second outsourced computing device; and send the calculation result to the first secure multiparty computing device;

A calculation result unit is used to process the initial sub-calculation result to obtain a calculation result.

An embodiment of the present invention also provides a secure multiparty computing system, including:

The first secure multiparty computing device as described above; and

The second secure multiparty computing device as described above.

An embodiment of the present invention further provides a computer device including a memory, a processor, and a computer program stored on the memory and executable on the processor. When the processor executes the program, the foregoing secure multi-party computing method is implemented (calculating from the first secure multi-party Device angle).

An embodiment of the present invention further provides a computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the steps of the above-mentioned secure multiparty computing method (from the perspective of the first secure multiparty computing device) are implemented.

An embodiment of the present invention further provides a computer device including a memory, a processor, and a computer program stored on the memory and executable on the processor. When the processor executes the program, the foregoing secure multi-party computing method is implemented (from the second secure multi-party computing method). Device angle).

An embodiment of the present invention also provides a computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the steps of the above-mentioned secure multiparty computing method (from the perspective of the second secure multiparty computing device) are implemented.

The secure multi-party computing method, device and system of the embodiments of the present invention can reduce the occupation of local resources, improve the computing efficiency and the performance of the secure multi-party computing technology.

BRIEF DESCRIPTION OF THE DRAWINGS

In order to explain the technical solutions in the embodiments of the present invention more clearly, the drawings used in the description of the embodiments are briefly introduced below. Obviously, the drawings in the following description are just some embodiments of the present invention. For those of ordinary skill in the art, other drawings can be obtained based on these drawings without paying creative labor.

1 is a flowchart of a secure multiparty computing method (from the perspective of a first secure multiparty computing device) in an embodiment of the present invention;

FIG. 2 is a specific flowchart of S103;

FIG. 3 is a specific flowchart of S106;

FIG. 4 is a specific flowchart of one embodiment of S301;

5 is a specific flowchart of another embodiment of S301;

6 is a flowchart of a secure multiparty computing method (from the perspective of a second secure multiparty computing device) in an embodiment of the present invention;

FIG. 7 is a specific flowchart of S603;

FIG. 8 is a specific flowchart of S606;

FIG. 9 is a specific flowchart of one embodiment of S801; FIG.

FIG. 10 is a specific flowchart of another embodiment of S801;

11 is a structural block diagram of a first secure multiparty computing device in an embodiment of the present invention;

12 is a structural block diagram of a second secure multiparty computing device in an embodiment of the present invention;

13 is a structural block diagram of a secure multiparty computing system in an embodiment of the present invention;

FIG. 14 is a block diagram showing a structure of a computer device in the first embodiment of the present invention; FIG.

FIG. 15 is a structural block diagram of a computer device in a second embodiment of the present invention.

detailed description

To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer and clearer, the embodiments of the present invention are described in further detail below with reference to the accompanying drawings. Here, the exemplary embodiments of the present invention and the description thereof are used to explain the present invention, but are not intended to limit the present invention.

FIG. 1 is a flowchart of a secure multiparty computing method (from the perspective of a first secure multiparty computing device) in an embodiment of the present invention. As shown in Figure 1, the secure multi-party calculation method includes:

S101: Convert a calculation function into an initial logic circuit.

S102: Select multiple pairs of random numbers to form an input label and an auxiliary label.

S103: The first function, the initial logic circuit, the input label, and the auxiliary label are processed accordingly to obtain a first processing result.

S104: Send the first processing result to the first outsourced computing device.

S105: Receive an initial first sub-circuit generated by the first outsourced computing device according to the first processing result.

S106: Process the initial first sub-circuit to obtain an encryption circuit.

S107: Obtain a first sub-input label according to the input data and the input label corresponding to the initial logic circuit.

S108: Send the encryption circuit and the first sub-input tag to a second secure multiparty computing device.

S109: Receive a calculation result from the second secure multiparty computing device.

The execution subject of the secure multiparty computing method shown in FIG. 1 may be a first secure multiparty computing device. It can be known from the flow shown in FIG. 1 that the secure multi-party calculation method (from the perspective of the first secure multi-party computing device) of the embodiment of the present invention first converts a calculation function into an initial logic circuit, and then selects a plurality of pairs of random numbers to form an input label and an auxiliary label , Processing the first function, the initial logic circuit, the input tag, and the auxiliary tag to obtain the first processing result, sending the first processing result to the first outsourced computing device, and then receiving the first outsourced computing device according to the first processing result Generate the initial first sub-circuit, process the initial first sub-circuit, obtain an encryption circuit, and then obtain the first sub-input label according to the input data and input label corresponding to the initial logic circuit, and then encrypt the circuit and the first sub-input label Sending to the second secure multi-party computing device and finally receiving the calculation result from the second secure multi-party computing device can reduce the local resource occupation, improve the computing efficiency and the performance of the secure multi-party computing technology.

In one embodiment, each pair of random numbers in the input label corresponds to a first value and a second value of each input line of the initial logic circuit.

In the logic circuit, each line has only two values of 0 and 1 (the first value and the second value), and two 128-bit labels L ₀ and L ₁ can be selected. According to different encryption circuit algorithms, the method of selecting tags can be divided into the following two categories:

1. For each line, randomly select a pair of 128-bit random numbers (L ₀ , L ₁ ) to represent 0 and 1, respectively, and each line is different. Assume that there are n input lines. At this time, the input label (InputLabel) is InputLabel = [(L ₀₁ , L ₁₁ ), ..., (L _0n , L _1n )]. AuxLabel is other labels randomly selected on the remaining lines.

2. For each input line, randomly select a pair of 128-bit random numbers (L0, L1) to represent 0 and 1, respectively, and then gradually calculate the labels of other remaining lines through the input line labels. The auxiliary label is empty at this time.

After selecting a label, for each gate of the logic circuit, the corresponding label is used for encryption to obtain an encryption circuit.

FIG. 2 is a specific flowchart of S103. As shown in FIG. 2, S103 specifically includes:

S201: Generate first input data according to an initial logic circuit, an input tag, and an auxiliary tag.

S202: Split the first input data into a plurality of first sub-input data according to a first preset policy.

S203: Generate each first sub-task according to the first function and each first sub-input data.

In specific implementation, S104 specifically includes: allocating each first subtask to a plurality of first outsourced computing devices. S105 specifically includes: receiving a plurality of initial first sub-circuits corresponding to each first sub-task.

FIG. 3 is a specific flowchart of S106. As shown in FIG. 3, S106 specifically includes:

S301: Select one of a plurality of initial first sub-circuits corresponding to each first sub-task as a first sub-circuit corresponding to each first sub-task.

S302: Integrate a first sub-circuit corresponding to each first sub-task to generate an encryption circuit.

FIG. 4 is a specific flowchart of one embodiment of S301. As shown in FIG. 4, S301 specifically includes:

S401: Assign the initial first sub-circuits of the same value corresponding to each first sub-task to the same array.

S402: Count the number of initial first sub-circuits in each array corresponding to each first sub-task.

S403: When the maximum number is greater than a preset value, an initial first sub-circuit in an array corresponding to the number is used as a first sub-circuit corresponding to each first sub-task.

Wherein, when the maximum number is less than a preset value, the first sub-task is redistributed to other outsourced computing devices for calculation.

FIG. 5 is a specific flowchart of another embodiment of S301. As shown in FIG. 5, S301 specifically includes:

S501: Generate each initial first sub-circuit corresponding to each first sub-task according to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and a preset first safety parameter The calculation proves.

S502: When the calculation proof is correct, the initial first sub-circuit corresponding to the calculation proof is taken as the first sub-circuit corresponding to each first sub-task.

In an embodiment, S501 specifically includes: generating a first common parameter according to a preset first security parameter; and according to each first subtask, each initial first subcircuit corresponding to each first subtask, and the first common Parameters, generating a calculation proof of each initial first sub-circuit corresponding to each first sub-task;

Or, the first common parameter is generated according to the preset first safety parameter and the first function; according to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and the first common parameter, generating A calculation proof of each initial first sub-circuit corresponding to each first sub-task.

The specific process of the secure multiparty computing method (from the perspective of the first secure multiparty computing device) is as follows:

1. The first secure multiparty computing device converts the calculation function f (g, h) into an initial logic circuit C; where g is the input data of the first secure multiparty computing device and h is the input data of the second secure multiparty computing device. The input data of the second secure multiparty computing device will not be leaked to the first secure multiparty computing device.

2. The first secure multi-party computing device selects a plurality of pairs of random numbers to form an input label and an auxiliary label (AuxLabel). It is assumed that the initial logic circuit C has n input lines in total, and at this time, the input label (InputLabel) is InputLabel = [(L ₀₁ , L ₁₁ ), ..., (L _0n , L _1n )].

3. The first secure multi-party computing device generates first input data x according to the initial logic circuit C, the input tag, and the auxiliary tag.

4. The first secure multi-party computing device divides the first input data x into a plurality of first sub-input data x ₁ , ..., x _k according to a first preset policy.

5. The first secure multi-party computing device generates each first subtask T _i = (Generation, x _i ) according to the first function and each first sub input data x _i . Among them, T _i is the i-th first subtask, Generation is the first function, and x _i is the i-th first sub-input data.

6. The first secure multi-party computing device allocates each first subtask to a plurality of first outsourced computing devices.

7. The first secure multi-party computing device receives m initial first sub-circuits R _i1 , ..., R _im corresponding to each first sub-task. Among them, R _im is the m-th initial first sub-circuit corresponding to the i-th first sub-task, and there are a total of k first sub-tasks.

8. The first secure multi-party computing device selects one of a plurality of initial first sub-circuits corresponding to each first sub-task as a first sub-circuit corresponding to each first sub-task. In specific implementation, the following two technical means can be adopted to select the first sub-circuit:

1. The first secure multi-party computing device assigns the initial first subcircuits of the same value corresponding to each first subtask to the same array, and counts the initial first subcircuits in each array corresponding to each first subtask. When the maximum number is greater than a preset value, an initial first sub-circuit in the array corresponding to the number is used as the first sub-circuit corresponding to each first sub-task.

2. First _a secure multiparty computation means generates a first public parameter PP according to the preset first security parameter _{_{λ 1 (PP 1 ← ParamGen (}} λ 1)); or, according to a preset first and second security parameter [lambda] ₁ A function Generation generates a first common parameter PP ₁ (PP ₁ ← ParamGen (λ ₁ , Generation)). According to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and a preset first safety parameter, a calculation of each initial first sub-circuit corresponding to each first sub-task is generated Prove π ₁ (π ₁ ← GenProof (PP ₁ , T _i , Generation, R _im )). When π _{1 is} correct, π ₁ = 1, and the initial first sub-circuit corresponding to the calculation proof is taken as the first sub-circuit R _i corresponding to each first sub-task. Wherein, R _i is the first sub-circuit corresponding to the i-th first sub-task. When π ₁ is incorrect, π ₁ = 0, the first sub-circuit corresponding to π _{1 is} discarded, and it can be verified in a short time whether the first sub-circuit is correct.

9. The first secure multi-party computing device integrates the first sub-circuit R _i corresponding to each first sub-task to generate an encryption circuit C ′ = Generation (C, InputLabel, AuxLabel).

10, a first secure multiparty computation means based on the input data g and the initial input tag corresponding to the logic circuit, to give the first sub-input label _{_{(L g11, L g22, ...}} , L gn1n1), the encrypted sub-circuit and a first input The tag is sent to a second secure multiparty computing device.

11. The first secure multiparty computing device receives a calculation result C (g, h) from the second secure multiparty computing device.

In summary, the secure multi-party calculation method (from the perspective of the first secure multi-party computing device) of the embodiment of the present invention first converts the calculation function into an initial logic circuit, and then selects a plurality of pairs of random numbers to form an input label and an auxiliary label, and combines the first function, The initial logic circuit, input tags and auxiliary tags are processed accordingly to obtain the first processing result, the first processing result is sent to the first outsourced computing device, and then the initial first child generated by the first outsourced computing device according to the first processing result is received Circuit to process the initial first sub-circuit to obtain an encryption circuit, and then obtain a first sub-input label according to the input data and input label corresponding to the initial logic circuit, and send the encryption circuit and the first sub-input label to a second secure multiparty The computing device finally receives the calculation result from the second secure multi-party computing device, which can reduce the occupation of local resources, improve the computing efficiency and the performance of the secure multi-party computing technology.

6 is a flowchart of a secure multiparty computing method (from the perspective of a second secure multiparty computing device) in an embodiment of the present invention. As shown in Figure 6, the secure multi-party calculation method includes:

S601: Receive an encryption circuit and a first sub-input tag from a first secure multiparty computing device.

S602: Obtain a second sub-input label according to the first sub-input label.

S603: Perform corresponding processing on the second function, the encryption circuit, the first sub-input label, and the second sub-input label to obtain a second processing result.

S604: Send the second processing result to the second outsourced computing device.

S605: Receive an initial sub-calculation result generated by the second outsourced computing device according to the second processing result.

S606: Process the initial sub-calculation result to obtain a calculation result.

S607: Send the calculation result to the first secure multiparty computing device.

The execution subject of the secure multiparty computing method shown in FIG. 6 may be a second secure multiparty computing device. It can be known from the flow shown in FIG. 6 that the secure multiparty computing method (from the perspective of the second secure multiparty computing device) of the embodiment of the present invention first receives the encryption circuit and the first sub-input tag from the first secure multiparty computing device, and then according to the first One sub-input tag obtains the second sub-input tag, processes the second function, the encryption circuit, the first sub-input tag, and the second sub-input tag accordingly to obtain a second processing result, and then sends the second processing result to the second The outsourced computing device receives the initial sub-calculation result generated by the second outsourced computing device according to the second processing result, then processes the initial sub-calculation result to obtain the calculation result, and finally sends the calculation result to the first secure multi-party computing device, which can reduce Local resource occupation improves computing efficiency and performance of secure multi-party computing technology.

When S602 is performed, the second sub-input label may be obtained through an inadvertent transmission protocol.

FIG. 7 is a specific flowchart of S603. As shown in Figure 7, S603 specifically includes:

S701: Generate second input data according to the encryption circuit, the first sub-input label, and the second sub-input label.

S702: Split the second input data into a plurality of second sub-input data according to a second preset policy.

S703: Generate each second sub-task according to the second function and each second sub-input data.

In specific implementation, S604 specifically includes: allocating each second subtask to a plurality of second outsourced computing devices. S605 specifically includes: receiving a plurality of initial sub-computation results corresponding to each second sub-task.

FIG. 8 is a specific flowchart of S606. As shown in Figure 8, S606 specifically includes:

S801: Select one of a plurality of initial sub-computation results corresponding to each second sub-task as a sub-computation result corresponding to each second sub-task.

S802: Integrate sub-computation results corresponding to each second sub-task to generate a calculation result.

FIG. 9 is a specific flowchart of one embodiment of S801. As shown in Figure 9, S801 specifically includes:

S901: Allocate the initial sub-computation result of the same value corresponding to each second sub-task to the same array.

S902: Count the number of initial sub-computation results in each array corresponding to each second sub-task.

S903: When the maximum number is greater than a preset value, an initial sub-computation result in the array corresponding to the number is used as a sub-computation result corresponding to each second sub-task.

FIG. 10 is a specific flowchart of another embodiment of S801. As shown in FIG. 10, S801 specifically includes:

S1001: According to each second sub-task, each initial sub-computation result corresponding to each second sub-task, and a preset second safety parameter, calculation for generating each initial sub-computation result corresponding to each second sub-task prove.

S1002: When the calculation proves correct, the initial sub-calculation result corresponding to the calculation proof is used as the sub-calculation result corresponding to each second sub-task.

In an embodiment, S1001 specifically includes: generating a second common parameter according to a preset second security parameter; and according to each second sub-task, each initial sub-computation result corresponding to each second sub-task, and the second common parameter To generate a calculation certificate for each initial sub-computation result corresponding to each second sub-task;

Or, generating a second common parameter according to a preset second security parameter and a calculation function; generating each second sub-task, each initial sub-computation result corresponding to each second sub-task, and the second common parameter, generating each A proof of calculation for each initial sub-computation result corresponding to the second sub-task.

The specific process of the secure multiparty computing method (from the perspective of the second secure multiparty computing device) is as follows:

1. The second secure multiparty computing device receives the encryption circuit and the first sub-input tag from the first secure multiparty computing device, and obtains the second sub-input tag (L _h11 , L _h22 , ..., L according to the first sub-input tag). _hn1n1).

2. The second secure multi-party computing device generates the second input data y according to the encryption circuit C ', the first sub-input tag and the second sub-input tag.

3. The second secure multi-party computing device splits the second input data y into a plurality of second sub-input data y ₁ , ..., y _j according to a second preset strategy.

4. The second secure multi-party computing device generates each second sub-task Q _i = (Evaluation, y _i ) according to the second function and each second sub-input data y _i . Among them, Q _i is the i-th second subtask, Evaluation is the second function, and y _i is the i-th second sub-input data.

5. The second secure multi-party computing device allocates each second subtask to a plurality of second outsourced computing devices.

6, the second secure multiparty computation means for receiving each second sub-tasks corresponding to the sub initial calculations o U _i1, ..., U _io. Among them, U _io is the o-th initial sub-calculation result corresponding to the i-th second sub-task, and there are j second sub-tasks in total.

7. The second secure multi-party computing device selects one of a plurality of initial sub-computation results corresponding to each second sub-task as a sub-computation result corresponding to each second sub-task. In specific implementation, the following two technical methods can be used to select sub-calculation results:

1. The second secure multi-party computing device allocates the initial sub-computation results of the same value corresponding to each second sub-task to the same array, and counts the number of initial sub-computation results in each array corresponding to each second sub-task When the maximum number is greater than a preset value, an initial sub-computation result in an array corresponding to the number is used as a sub-computation result corresponding to each second sub-task.

2. Second secure multiparty computation means ₂ generating a second security parameter according to a preset second common parameter [lambda] _{_{PP 2 (PP 2 ← ParamGen (}} λ 2)); or, according to preset ₂ and a second security parameter [lambda] The two function Evaluation generates a second common parameter PP ₂ (PP ₂ ← ParamGen (λ ₂ , Evaluation)). According to each second sub-task, each initial sub-computation result corresponding to each second sub-task, and a preset second safety parameter, a calculation certificate for each initial sub-computation result corresponding to each second sub-task is generated π ₂ (π ₂ ← GenProof (PP ₂ , Q _i , Evaluation, U _io )). When correctly ₂ π, π ₂ = 1, the calculation shows the calculation results corresponding to the initial sub calculation result as U _i corresponding to each of the second sub-subtask. Among them, U _i is a sub-computation result corresponding to the i-th second sub-task. When π ₂ is incorrect, π ₂ = 0, and the sub-calculation result corresponding to π _{2 is} discarded, and the sub-calculation result can be verified in a short time.

8. The second secure multi-party computing device integrates the sub-computation results U _i corresponding to each second sub-task, generates a calculation result C (g, h), and sends the calculation result to the first secure multi-party computing device.

In summary, the secure multiparty computing method of the embodiment of the present invention (from the perspective of the second secure multiparty computing device) first receives the encryption circuit and the first sub-input tag from the first secure multiparty computing device, and then obtains Two sub-input tags, correspondingly process the second function, the encryption circuit, the first sub-input tag, and the second sub-input tag to obtain the second processing result, and then send the second processing result to the second outsourcing computing device to receive the first The two outsourced computing devices generate the initial sub-calculation results according to the second processing result, then process the initial sub-calculation results to obtain the calculation results, and finally send the calculation results to the first secure multi-party computing device, which can reduce the local resource occupation and improve the calculation. Efficiency and performance of multiparty computing technologies.

Based on the same inventive concept, an embodiment of the present invention also provides a first secure multiparty computing device. Since the principle of solving the problem of the device is similar to the secure multiparty computing method (from the perspective of the first secure multiparty computing device), the implementation of the device You can refer to the implementation of the method, and the repetition is not repeated.

FIG. 11 is a structural block diagram of a first secure multiparty computing device in an embodiment of the present invention. As shown in FIG. 11, the first secure multi-party computing device includes:

In one embodiment, the first processing result unit includes:

A first input data generating subunit, configured to generate first input data according to an initial logic circuit, an input label, and an auxiliary label;

A first input data splitting subunit, configured to split the first input data into multiple first subinput data according to a first preset strategy;

A first subtask subunit, configured to generate each first subtask according to a first function and each first subinput data;

The first sending unit is specifically configured to:

Allocating each first subtask to a plurality of first outsourced computing devices;

The first receiving unit is specifically configured to:

Receiving a plurality of initial first sub-circuits corresponding to each first sub-task;

The encryption circuit unit includes:

A first selection subunit, configured to select one of a plurality of initial first subcircuits corresponding to each first subtask as a first subcircuit corresponding to each first subtask;

The first integration unit is configured to integrate a first sub-circuit corresponding to each first sub-task to generate an encryption circuit.

In one embodiment, the first selection subunit is specifically configured to:

Assign the initial first sub-circuits of the same value corresponding to each first sub-task to the same array;

Count the number of initial first sub-circuits in each array corresponding to each first sub-task;

When the maximum number is greater than a preset value, an initial first sub-circuit in an array corresponding to the number is used as a first sub-circuit corresponding to each first sub-task.

In one embodiment, the first selection subunit is specifically configured to:

According to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and a preset first safety parameter, a calculation of each initial first sub-circuit corresponding to each first sub-task is generated prove;

When the calculation proves correct, the initial first sub-circuit corresponding to the calculation verification is taken as the first sub-circuit corresponding to each first sub-task.

In one embodiment, the first selection subunit is specifically configured to:

Generate a first common parameter according to a preset first safety parameter; generate each first sub-task according to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and the first common parameter Corresponding proof of calculation of each initial first sub-circuit;

In summary, the first secure multi-party computing device according to the embodiment of the present invention first converts a calculation function into an initial logic circuit, and then selects a plurality of pairs of random numbers to form an input tag and an auxiliary tag, and combines the first function, the initial logic circuit, the input tag, and an auxiliary tag. The tag performs corresponding processing to obtain the first processing result, sends the first processing result to the first outsourced computing device, and then receives the initial first subcircuit generated by the first outsourced computing device according to the first processing result, and The processing is performed to obtain an encryption circuit, and then the first sub-input tag is obtained according to the input data and input tags corresponding to the initial logic circuit, and the encryption circuit and the first sub-input tag are sent to a second secure multi-party computing device, and finally received from the second The calculation result of the secure multi-party computing device can reduce the local resource occupation, improve the computing efficiency and the performance of the secure multi-party computing technology.

Based on the same inventive concept, an embodiment of the present invention also provides a second secure multiparty computing device. Since the principle of solving the problem of the device is similar to the secure multiparty computing method (from the perspective of the second secure multiparty computing device), the implementation of the device You can refer to the implementation of the method, and the repetition is not repeated.

FIG. 12 is a structural block diagram of a second secure multiparty computing device in an embodiment of the present invention. As shown in FIG. 12, the second secure multi-party computing device includes:

In one embodiment, the second processing result unit includes:

A second input data generating subunit, configured to generate second input data according to the encryption circuit, the first sub-input label, and the second sub-input label;

A second input data splitting subunit, configured to split the second input data into multiple second subinput data according to a second preset strategy;

A second subtask subunit, configured to generate each second subtask according to a second function and each second subinput data;

The second sending unit is specifically configured to:

Allocating each second subtask to multiple second outsourced computing devices;

The second receiving unit is specifically configured to:

Receiving multiple initial sub-computation results corresponding to each second sub-task;

The calculation result unit includes:

A second selection subunit, configured to select one of a plurality of initial sub-calculation results corresponding to each second sub-task as a sub-calculation result corresponding to each second sub-task;

The second integration unit is configured to integrate sub-computation results corresponding to each second sub-task to generate a calculation result.

In one embodiment, the second selection subunit is specifically configured to:

Assign the initial sub-computation result of the same value corresponding to each second sub-task to the same array;

Count the number of initial sub-computation results in each array corresponding to each second sub-task;

When the maximum number is greater than a preset value, an initial sub-computation result in an array corresponding to the number is used as a sub-computation result corresponding to each second sub-task.

In one embodiment, the second selection subunit is specifically configured to:

Generate a calculation certificate for each initial sub-computation result corresponding to each second sub-task according to each second sub-task, each initial sub-computation result corresponding to each second sub-task, and a preset second safety parameter;

When the calculation proves correct, the initial sub-calculation result corresponding to the calculation proof is taken as the sub-calculation result corresponding to each second sub-task.

In one embodiment, the second selection subunit is specifically configured to:

Generate a second common parameter according to a preset second security parameter; and generate a corresponding second sub-task according to each second sub-task, each initial sub-calculation result corresponding to each second sub-task, and the second common parameter Calculation proof of the calculation result of each initial sub;

In summary, the second secure multiparty computing device according to the embodiment of the present invention first receives the encryption circuit and the first sub-input tag from the first secure multiparty computing device, and then obtains the second sub-input tag according to the first sub-input tag, and The function, the encryption circuit, the first sub-input tag and the second sub-input tag are processed accordingly to obtain a second processing result, and then the second processing result is sent to a second outsourced computing device, and the second outsourced computing device is received according to the second processing The resulting initial sub-computation results are then processed to obtain the calculation results, and finally the calculation results are sent to the first secure multi-party computing device, which can reduce the local resource occupation, improve the calculation efficiency and the performance of the secure multi-party computing technology .

Based on the same inventive concept, an embodiment of the present invention further provides a secure multiparty computing system. FIG. 13 is a structural block diagram of a secure multiparty computing system in an embodiment of the present invention. As shown in FIG. 13, the secure multiparty computing system includes a first secure multiparty computing device as described above, and a second secure multiparty computing device as described above.

Fig. 14 is a block diagram showing the structure of a computer device in the first embodiment of the present invention. As shown in FIG. 14, the computer device may specifically include a memory 1401, a processor 1402, a communication interface 1403, a data bus 1404, and a computer program stored in the memory 1401 and executable on the processor 1402. The processor 1402 executes the computer program The steps of implementing the secure multi-party computing method (from the perspective of the first secure multi-party computing device) described in any one of the foregoing embodiments are implemented. It is worth noting that this figure is exemplary; other types of structures can also be used to supplement or replace the structure to implement telecommunication functions or other functions.

The computer equipment of the embodiment of the present invention (from the perspective of the first secure multi-party computing device) first converts the calculation function into an initial logic circuit, and then selects a plurality of pairs of random numbers to form an input label and an auxiliary label, and the first function, the initial logic circuit, and the input The tags and auxiliary tags are processed accordingly to obtain the first processing result, and the first processing result is sent to the first outsourced computing device, and then the initial first sub-circuit generated by the first outsourced computing device according to the first processing result is received. A sub-circuit is processed to obtain an encryption circuit, and then the first sub-input tag is obtained according to the input data and input tags corresponding to the initial logic circuit, and the encryption circuit and the first sub-input tag are sent to a second secure multi-party computing device, and finally received The calculation result from the second secure multi-party computing device can reduce the local resource occupation, improve the computing efficiency and the performance of the secure multi-party computing technology.

The computer-readable storage medium of the embodiment of the present invention first converts a calculation function into an initial logic circuit, and then selects a plurality of pairs of random numbers to form an input tag and an auxiliary tag, and processes the first function, the initial logic circuit, the input tag, and the auxiliary tag accordingly. To obtain a first processing result, send the first processing result to a first outsourced computing device, and then receive an initial first sub-circuit generated by the first outsourced computing device according to the first processing result, and process the initial first sub-circuit to obtain The encryption circuit then obtains the first sub-input tag according to the input data and input tag corresponding to the initial logic circuit, sends the encryption circuit and the first sub-input tag to the second secure multiparty computing device, and finally receives the second secure multiparty computing device The calculation results can reduce the local resource occupation, improve the calculation efficiency and the performance of the secure multi-party computing technology.

FIG. 15 is a structural block diagram of a computer device in a second embodiment of the present invention. As shown in FIG. 15, the computer device may specifically include a memory 1501, a processor 1502, a communication interface 1503, a data bus 1504, and a computer program stored in the memory 1501 and executable on the processor 1502. The processor 1502 executes the computer program The steps of realizing the secure multi-party computing method (from the perspective of the second secure multi-party computing device) described in any one of the foregoing embodiments are implemented. It is worth noting that this figure is exemplary; other types of structures can also be used to supplement or replace the structure to implement telecommunication functions or other functions.

The computer device according to the embodiment of the present invention first receives an encryption circuit and a first sub-input tag from a first secure multi-party computing device, and then obtains a second sub-input tag according to the first sub-input tag. The second function, the encryption circuit, and the first The sub-input tag and the second sub-input tag are processed accordingly to obtain a second processing result, and then the second processing result is sent to the second outsourced computing device, and the initial sub-calculation result generated by the second outsourced computing device according to the second processing result is received Then, the initial sub-computation result is processed to obtain the calculation result, and finally the calculation result is sent to the first secure multi-party computing device, which can reduce the local resource occupation, improve the computing efficiency and the performance of the secure multi-party computing technology.

The computer-readable storage medium of the embodiment of the present invention first receives an encryption circuit and a first sub-input tag from a first secure multi-party computing device, and then obtains a second sub-input tag according to the first sub-input tag, and converts the second function and the encryption circuit. , The first sub-input tag and the second sub-input tag are processed accordingly to obtain a second processing result, and then the second processing result is sent to a second outsourced computing device, and an initial generated by the second outsourced computing device according to the second processing result is received Sub-computing results, then processing the initial sub-computing results to obtain the computing results, and finally sending the computing results to the first secure multi-party computing device, which can reduce the local resource occupation, improve the computing efficiency and the performance of the secure multi-party computing technology.

Those skilled in the art should understand that the embodiments of the present invention may be provided as a method, a system, or a computer program product. Therefore, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present invention may take the form of a computer program product implemented on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

The present invention is described with reference to flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to embodiments of the present invention. It should be understood that each process and / or block in the flowcharts and / or block diagrams, and combinations of processes and / or blocks in the flowcharts and / or block diagrams can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing device to produce a machine, so that the instructions generated by the processor of the computer or other programmable data processing device are used to generate instructions Means for implementing the functions specified in one or more flowcharts and / or one or more blocks of the block diagrams.

These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to work in a specific manner such that the instructions stored in the computer-readable memory produce a manufactured article including an instruction device, the instructions The device implements the functions specified in one or more flowcharts and / or one or more blocks of the block diagram.

These computer program instructions can also be loaded onto a computer or other programmable data processing device, so that a series of steps can be performed on the computer or other programmable device to produce a computer-implemented process, which can be executed on the computer or other programmable device. The instructions provide steps for implementing the functions specified in one or more flowcharts and / or one or more blocks of the block diagrams.

The principle and implementation of the present invention are explained by applying specific embodiments in the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core ideas; meanwhile, for a person of ordinary skill in the art, The idea of the invention will change in both the specific implementation and the scope of application. In summary, the content of this description should not be construed as a limitation on the present invention.

Claims

A secure multi-party calculation method is characterized in that it includes:

Convert the calculation function into an initial logic circuit;

Select multiple pairs of random numbers to form input tags and auxiliary tags;

Perform corresponding processing on the first function, the initial logic circuit, the input label, and the auxiliary label to obtain a first processing result;

Sending the first processing result to a first outsourced computing device;

Receiving an initial first sub-circuit generated by a first outsourced computing device according to the first processing result;

Processing the initial first sub-circuit to obtain an encryption circuit;

Obtaining a first sub-input label according to the input data corresponding to the initial logic circuit and the input label;

Sending the encryption circuit and the first sub-input tag to a second secure multiparty computing device;

Receiving a calculation result from the second secure multi-party computing device.
The secure multi-party calculation method according to claim 1, characterized in that:

Each pair of random numbers in the input label corresponds to a first value and a second value of each input line of the initial logic circuit.
The secure multi-party calculation method according to claim 1, wherein the first function, the initial logic circuit, the input label, and the auxiliary label are processed accordingly to obtain a first processing result, which specifically includes:

Generating first input data according to the initial logic circuit, the input label, and the auxiliary label;

Split the first input data into a plurality of first sub-input data according to a first preset strategy;

Generating each first sub-task according to the first function and each first sub-input data;

Sending the first processing result to a first outsourced computing device specifically includes:

Allocating each first subtask to a plurality of first outsourced computing devices;

The receiving an initial first sub-circuit generated by the first outsourced computing device according to the first processing result specifically includes:

Receiving a plurality of initial first sub-circuits corresponding to each first sub-task;

Processing the initial first sub-circuit to obtain an encryption circuit specifically includes:

Selecting one of the plurality of initial first sub-circuits corresponding to each first sub-task as the first sub-circuit corresponding to each first sub-task;

The first sub-circuit corresponding to each first sub-task is integrated to generate an encryption circuit.
The secure multiparty calculation method according to claim 3, wherein one of the plurality of initial first sub-circuits corresponding to each first sub-task is selected as the first sub-circuit corresponding to each first sub-task, and specifically include:

Assign the initial first sub-circuits of the same value corresponding to each first sub-task to the same array;

Count the number of initial first sub-circuits in each array corresponding to each first sub-task;

When the maximum number is greater than a preset value, an initial first sub-circuit in an array corresponding to the number is used as a first sub-circuit corresponding to each first sub-task.
The secure multiparty calculation method according to claim 3, wherein one of the plurality of initial first sub-circuits corresponding to each first sub-task is selected as the first sub-circuit corresponding to each first sub-task, and include:

According to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and a preset first safety parameter, a calculation of each initial first sub-circuit corresponding to each first sub-task is generated prove;

When the calculation proves correct, the initial first sub-circuit corresponding to the calculation verification is taken as the first sub-circuit corresponding to each first sub-task.
The secure multi-party calculation method according to claim 5, characterized in that each of the first sub-tasks, each initial first sub-circuit corresponding to each first sub-task, and a preset first security parameter is used to generate each The calculation proof of each initial first sub-circuit corresponding to each of the first sub-tasks includes:

Generate a first common parameter according to the preset first security parameter; and generate each of the first common task according to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and the first common parameter Calculation proof of each initial first sub-circuit corresponding to the first sub-task;

Or generating the first common parameter according to the preset first safety parameter and the first function; according to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and The first common parameter generates a calculation certificate for each initial first sub-circuit corresponding to each first sub-task.
A secure multi-party calculation method is characterized in that it includes:

Receiving an encryption circuit and a first sub-input tag from a first secure multiparty computing device;

Obtaining a second sub-input label according to the first sub-input label;

Perform corresponding processing on the second function, the encryption circuit, the first sub-input label, and the second sub-input label to obtain a second processing result;

Sending the second processing result to a second outsourced computing device;

Receiving an initial sub-calculation result generated by the second outsourced computing device according to the second processing result;

Processing the initial sub-calculation result to obtain a calculation result;

Sending the calculation result to the first secure multiparty computing device.
The secure multiparty calculation method according to claim 7, characterized in that the second function, the encryption circuit, the first sub-input label and the second sub-input label are processed accordingly to obtain a second processing result , Including:

Generating second input data according to the encryption circuit, the first sub-input tag, and the second sub-input tag;

Split the second input data into a plurality of second sub-input data according to a second preset strategy;

Generating each second sub-task according to the second function and each second sub-input data;

Sending the second processing result to a second outsourced computing device specifically includes:

Allocating each second subtask to multiple second outsourced computing devices;

The receiving the initial sub-calculation result generated by the second outsourced computing device according to the second processing result specifically includes:

Receiving multiple initial sub-computation results corresponding to each second sub-task;

Processing the initial sub-calculation result to obtain the calculation result, which specifically includes:

Selecting one of a plurality of initial sub-computation results corresponding to each second sub-task as a sub-computation result corresponding to each second sub-task;

The sub-computation results corresponding to each second sub-task are integrated to generate a calculation result.
The secure multi-party calculation method according to claim 8, wherein selecting one of a plurality of initial sub-calculation results corresponding to each second sub-task as a sub-calculation result corresponding to each second sub-task specifically includes:

Assign the initial sub-computation result of the same value corresponding to each second sub-task to the same array;

Count the number of initial sub-computation results in each array corresponding to each second sub-task;

When the maximum number is greater than a preset value, an initial sub-computation result in an array corresponding to the number is used as a sub-computation result corresponding to each second sub-task.
The secure multi-party calculation method according to claim 8, wherein selecting one of a plurality of initial sub-calculation results corresponding to each second sub-task as a sub-calculation result corresponding to each second sub-task specifically includes:

Generate a calculation certificate for each initial sub-computation result corresponding to each second sub-task according to each second sub-task, each initial sub-computation result corresponding to each second sub-task, and a preset second safety parameter;

When the calculation proves correct, the initial sub-calculation result corresponding to the calculation proof is used as the sub-calculation result corresponding to each second sub-task.
The secure multi-party calculation method according to claim 10, wherein each of the second sub-tasks, each initial sub-calculation result corresponding to each second sub-task, and a preset second security parameter is used to generate The calculation proof of each initial sub-computation result corresponding to the second sub-task includes:

Generate a second common parameter according to the preset second security parameter; and generate each first sub-task Calculation proof of each initial sub-computation result corresponding to the two sub-tasks;

Or generating the second common parameter according to the preset second safety parameter and the calculation function; according to each second sub-task, each initial sub-calculation result corresponding to each second sub-task, and the The second common parameter generates a calculation certificate for each initial sub-computation result corresponding to each second sub-task.
A first secure multiparty computing device, comprising:

A conversion unit for converting a calculation function into an initial logic circuit;

A label unit, which is used to select multiple pairs of random numbers to form an input label and an auxiliary label;

A first processing result unit, configured to correspondingly process a first function, the initial logic circuit, the input label, and the auxiliary label to obtain a first processing result;

A first sending unit, configured to send the first processing result to a first outsourced computing device; send an encryption circuit and a first sub-input tag to a second secure multiparty computing device;

A first receiving unit, configured to receive an initial first sub-circuit generated by a first outsourced computing device according to the first processing result; and receive a calculation result from the second secure multiparty computing device;

An encryption circuit unit, configured to process the initial first sub-circuit to obtain the encryption circuit;

The first sub-input label unit is configured to obtain the first sub-input label according to input data corresponding to the initial logic circuit and the input label.
The first secure multiparty computing device according to claim 12, characterized in that:

Each pair of random numbers in the input label corresponds to a first value and a second value of each input line of the initial logic circuit.
The first secure multiparty computing device according to claim 12, characterized in that:

The first processing result unit includes:

A first input data generating subunit, configured to generate first input data according to the initial logic circuit, the input label, and the auxiliary label;

A first input data splitting subunit, configured to split the first input data into multiple first subinput data according to a first preset strategy;

A first subtask subunit, configured to generate each first subtask according to the first function and each first subinput data;

The first sending unit is specifically configured to:

Allocating each first subtask to a plurality of first outsourced computing devices;

The first receiving unit is specifically configured to:

Receiving a plurality of initial first sub-circuits corresponding to each first sub-task;

The encryption circuit unit includes:

A first selection subunit, configured to select one of a plurality of initial first subcircuits corresponding to each first subtask as a first subcircuit corresponding to each first subtask;

The first integration unit is configured to integrate a first sub-circuit corresponding to each first sub-task to generate an encryption circuit.
The first secure multiparty computing device according to claim 14, wherein the first selection subunit is specifically configured to:

Assign the initial first sub-circuits of the same value corresponding to each first sub-task to the same array;

Count the number of initial first sub-circuits in each array corresponding to each first sub-task;

When the maximum number is greater than a preset value, an initial first sub-circuit in an array corresponding to the number is used as a first sub-circuit corresponding to each first sub-task.
The first secure multiparty computing device according to claim 14, wherein the first selection subunit is specifically configured to:

According to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and a preset first safety parameter, a calculation of each initial first sub-circuit corresponding to each first sub-task is generated prove;

When the calculation proves correct, the initial first sub-circuit corresponding to the calculation verification is taken as the first sub-circuit corresponding to each first sub-task.
The first secure multiparty computing device according to claim 16, wherein the first selection subunit is specifically configured to:

Generate a first common parameter according to the preset first security parameter; and generate each of the first common task according to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and the first common parameter Calculation proof of each initial first sub-circuit corresponding to the first sub-task;

Or generating the first common parameter according to the preset first safety parameter and the first function; according to each first sub-task, each initial first sub-circuit corresponding to each first sub-task, and The first common parameter generates a calculation certificate for each initial first sub-circuit corresponding to each first sub-task.
A second secure multi-party computing device, comprising:

A second receiving unit, configured to receive the encryption circuit and the first sub-input tag from the first secure multi-party computing device; and receive the initial sub-computation result generated by the second outsourced computing device according to the second processing result;

A second sub-input label unit, configured to obtain a second sub-input label according to the first sub-input label;

A second processing result unit, configured to perform corresponding processing on a second function, the encryption circuit, the first sub-input label, and the second sub-input label to obtain the second processing result;

A second sending unit, configured to send the second processing result to a second outsourced computing device; and send the calculation result to the first secure multiparty computing device;

A calculation result unit is configured to process the initial sub calculation result to obtain the calculation result.
The second secure multiparty computing device according to claim 18, wherein:

The second processing result unit includes:

A second input data generating subunit, configured to generate second input data according to the encryption circuit, the first sub-input label, and the second sub-input label;

A second input data splitting subunit, configured to split the second input data into multiple second subinput data according to a second preset policy;

A second subtask subunit, configured to generate each second subtask according to the second function and each second subinput data;

The second sending unit is specifically configured to:

Allocating each second subtask to multiple second outsourced computing devices;

The second receiving unit is specifically configured to:

Receiving multiple initial sub-computation results corresponding to each second sub-task;

The calculation result unit includes:

A second selection subunit, configured to select one of a plurality of initial sub-calculation results corresponding to each second sub-task as a sub-calculation result corresponding to each second sub-task;

The second integration unit is configured to integrate sub-computation results corresponding to each second sub-task to generate a calculation result.
The second secure multiparty computing device according to claim 19, wherein the second selection subunit is specifically configured to:

Assign the initial sub-computation result of the same value corresponding to each second sub-task to the same array;

Count the number of initial sub-computation results in each array corresponding to each second sub-task;

When the maximum number is greater than a preset value, an initial sub-computation result in an array corresponding to the number is used as a sub-computation result corresponding to each second sub-task.
The second secure multiparty computing device according to claim 19, wherein the second selection subunit is specifically configured to:

Generate a calculation certificate for each initial sub-computation result corresponding to each second sub-task according to each second sub-task, each initial sub-computation result corresponding to each second sub-task, and a preset second safety parameter;

When the calculation proves correct, the initial sub-calculation result corresponding to the calculation proof is used as the sub-calculation result corresponding to each second sub-task.
The second secure multiparty computing device according to claim 21, wherein the second selection subunit is specifically configured to:

Generate a second common parameter according to the preset second security parameter; and generate each first sub-task Calculation proof of each initial sub-computation result corresponding to the two sub-tasks;

Or generating the second common parameter according to the preset second safety parameter and the calculation function; according to each second sub-task, each initial sub-calculation result corresponding to each second sub-task, and the The second common parameter generates a calculation certificate for each initial sub-computation result corresponding to each second sub-task.
A secure multiparty computing system, characterized in that it includes:

The first secure multiparty computing device according to any one of claims 12-17; and

The second secure multiparty computing device according to any one of claims 18-22.
A computer device includes a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein when the processor executes the program, any one of claims 1 to 6 is implemented. The steps of the secure multi-party calculation method described above.
A computer device includes a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein when the processor executes the program, any one of claims 7 to 11 is implemented. The steps of the secure multi-party calculation method described above.
A computer-readable storage medium having stored thereon a computer program, characterized in that when the computer program is executed by a processor, the steps of the secure multiparty computing method according to any one of claims 1 to 6 are implemented.
A computer-readable storage medium having stored thereon a computer program, characterized in that when the computer program is executed by a processor, the steps of the secure multi-party computing method according to any one of claims 7 to 11 are implemented.