CN114547645A - Floating point number processing method and device, terminal and storage medium - Google Patents

Floating point number processing method and device, terminal and storage medium Download PDF

Info

Publication number
CN114547645A
CN114547645A CN202210118058.0A CN202210118058A CN114547645A CN 114547645 A CN114547645 A CN 114547645A CN 202210118058 A CN202210118058 A CN 202210118058A CN 114547645 A CN114547645 A CN 114547645A
Authority
CN
China
Prior art keywords
floating point
point number
denominator
numerator
homomorphic
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN202210118058.0A
Other languages
Chinese (zh)
Inventor
庞皓天
杨赟博
魏立斐
张懿嘉
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Shanghai Tongtai Information Technology Co ltd
Original Assignee
Shanghai Tongtai Information Technology Co ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Shanghai Tongtai Information Technology Co ltd filed Critical Shanghai Tongtai Information Technology Co ltd
Priority to CN202210118058.0A priority Critical patent/CN114547645A/en
Publication of CN114547645A publication Critical patent/CN114547645A/en
Pending legal-status Critical Current

Links

Images

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F21/00Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
    • G06F21/60Protecting data
    • G06F21/602Providing cryptographic facilities or services
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/483Computations with numbers represented by a non-linear combination of denominational numbers, e.g. rational numbers, logarithmic number system or floating-point numbers
    • G06F7/487Multiplying; Dividing
    • G06F7/4876Multiplying

Abstract

The invention provides a floating point number processing method, a floating point number processing device, a floating point number terminal and a storage medium, wherein the floating point number processing method, the floating point number processing device, the floating point number terminal and the storage medium can efficiently encrypt and calculate floating point numbers based on a homomorphic encryption algorithm of a classical password, and are characterized by comprising the following steps: step S1, acquiring a first floating point number to be encrypted; step S2, representing the first floating point number as a fraction and obtaining a corresponding numerator to be encrypted and a denominator to be encrypted; step S3, respectively encrypting the numerator to be encrypted and the denominator to be encrypted based on a homomorphic encryption algorithm to obtain a first numerator and a first denominator corresponding to the first floating point number; step S4, completing homomorphic operation aiming at floating point numbers based on the first numerator and the first denominator to form a second numerator and a second denominator; and step S5, decrypting the second numerator and the second denominator according to the preset key, and dividing to obtain a second floating point number after homomorphic operation is carried out on the first floating point number.

Description

Floating point number processing method and device, terminal and storage medium
Technical Field
The invention belongs to the field of data security, and particularly relates to a floating-point number processing method, a floating-point number processing device, a floating-point number processing terminal and a storage medium.
Background
Since the mathematical basis of cryptography is based on finite groups, rings, fields of integers, the processing of floating point numbers is naturally unsupported in the context of cryptography. In recent years, with the increasing popularity of lattice ciphers, there has been some academic innovation on approximate expression of floating-point numbers, but the requirements of engineering application still cannot be met.
In the aspect of privacy calculation, after data needs to be encrypted by using a cryptographic algorithm, operations are performed by using a ciphertext, and in actual engineering, operations of floating point numbers are necessarily indispensable, so that the following two problems are caused:
1. floating point numbers cannot be privacy protected by using classical cryptography techniques, and cannot be calculated even under the background of classical cryptography.
2. The floating point number after lattice cipher processing has larger precision loss, and the precision of the floating point number cannot be changed obviously after a plurality of times of floating point number ciphertext multiplications in the best scheme at present, so that the calculation result cannot be used.
Disclosure of Invention
In order to solve the problems, the invention provides a floating point number processing method, a floating point number processing device, a floating point number terminal and a storage medium, wherein the floating point number processing method, the floating point number processing device, the floating point number terminal and the storage medium can efficiently encrypt and calculate floating point numbers based on a homomorphic encryption algorithm of a classical password, and the floating point number processing device adopts the following technical scheme:
the invention provides a floating point number processing method which is characterized by comprising the following steps: step S1, acquiring a first floating point number to be encrypted; step S2, representing the first floating point number as a fraction and obtaining a corresponding numerator to be encrypted and a denominator to be encrypted; step S3, respectively encrypting the numerator to be encrypted and the denominator to be encrypted based on a homomorphic encryption algorithm to obtain a first numerator and a first denominator corresponding to the first floating point number; step S4, completing homomorphic operation aiming at floating point numbers based on the first numerator and the first denominator to form a second numerator and a second denominator; and step S5, decrypting the second numerator and the second denominator according to the preset key, and dividing to obtain a second floating point number after homomorphic operation is carried out on the first floating point number.
The floating point number processing method provided by the present invention may further have a technical feature that the homomorphic operation includes adding the first floating point number and the third floating point number, and the process of adding the first floating point number and the third floating point number includes: determining a third denominator and a third denominator obtained by encrypting the fraction represented by the third floating point number based on a homomorphic encryption algorithm; and taking the sum of the product of the first numerator multiplied by the third denominator and the product of the third numerator multiplied by the first denominator as the numerator after homomorphism operation, and taking the product of the first denominator and the third denominator as the denominator after homomorphism operation.
The floating point number processing method provided by the present invention may further have the technical feature that the homomorphic operation includes multiplying the first floating point number by the fourth floating point number, and the process of multiplying the fourth floating point number by the homomorphic operation includes: determining a fourth denominator and a fourth denominator obtained by encrypting the fraction represented by the fourth floating point number based on a homomorphic encryption algorithm; and taking the product of the first numerator and the fourth numerator as a homomorphic operation numerator, and taking the product of the first denominator and the fourth denominator as a homomorphic operation denominator.
The floating point number processing method provided by the present invention may further have a technical feature that the homomorphic operation includes adding the first floating point number and the first integer, and the process of adding the first floating point number and the first integer includes: determining a first encrypted integer obtained by encrypting the first integer based on a homomorphic encryption algorithm; and taking the sum of the first numerator and the product of the first encryption integer multiplied by the first denominator as a homomorphic operated numerator, and taking the first denominator as a homomorphic operated denominator.
The floating point number processing method provided by the present invention may further have a technical feature that the homomorphic operation includes multiplying a first floating point number by a second integer, and the process of multiplying the first floating point number by the second integer includes: determining a second encrypted integer obtained by encrypting the second integer based on a homomorphic encryption algorithm; and taking the product of the first numerator and the second encrypted integer as a homomorphic operated numerator, and taking the first denominator as a homomorphic operated denominator.
The present invention also provides a floating-point number processing apparatus, including: the floating point number acquisition module is used for acquiring a first floating point number to be encrypted; the fraction conversion module is used for expressing the first floating point number as a fraction and obtaining a corresponding numerator to be encrypted and a denominator to be encrypted; the homomorphic encryption module is used for respectively encrypting the numerator to be encrypted and the denominator to be encrypted based on a homomorphic encryption algorithm to obtain a first numerator and a first denominator corresponding to the first floating point number; the homomorphic operation module is used for completing homomorphic operation aiming at floating point numbers on the basis of the first numerator and the first denominator to form a second numerator and a second denominator; and the homomorphic decryption module decrypts the second numerator and the second denominator according to the preset secret key, and divides the decrypted numerator and the decrypted denominator to obtain a second floating point number after homomorphic operation is carried out on the first floating point number.
The invention also provides a processing terminal which is characterized by comprising a processor and a memory, wherein the memory stores computer-executable instructions capable of being executed by the processor, and the processor executes the computer-executable instructions to realize the method.
The present invention also provides a computer-readable storage medium characterized in that the computer-readable storage medium stores computer-executable instructions which, when invoked and executed by a processor, cause the processor to implement the method described above.
Action and Effect of the invention
According to the floating point number processing method, the floating point number processing device, the processing terminal and the readable medium, the floating point number is converted into the numerator integer and the denominator integer through the fractional formation, and the numerator and the denominator are encrypted through the homomorphic encryption algorithm respectively and used for subsequent homomorphic operation, so that the homomorphic encryption algorithm based on the classical password can encrypt and calculate the floating point number efficiently, encryption does not need to be realized based on the lattice theory, the encryption and operation speed of the floating point number is improved through the way, and the space for storing a ciphertext can be saved.
Drawings
In order to more clearly illustrate the detailed description of the invention or the technical solutions in the prior art, the drawings that are needed in the detailed description of the invention or the prior art will be briefly described below.
FIG. 1 is a flow chart of a floating point number processing method in an embodiment of the present invention;
FIG. 2 is a block diagram of a floating-point number processing apparatus according to an embodiment of the present invention.
Detailed Description
In order to make the technical means, creation features, achievement objects and effects of the present invention easy to understand, the floating-point processing method, the floating-point processing device, the terminal and the storage medium of the present invention are specifically described below with reference to the embodiments and the accompanying drawings.
< example >
FIG. 1 is a flow chart of a floating point number processing method according to an embodiment of the present invention.
Referring to fig. 1, the floating point number processing method provided by the present invention specifically includes the following steps S1 to S5.
Step S1, a first floating point number to be encrypted is obtained.
Specifically, the first floating point number of this embodiment is a floating point number input by a user, and the floating point number needs to be uploaded and used to perform homomorphic operation.
Step S2, the first floating point number is expressed as a fraction and the corresponding numerator to be encrypted and denominator to be encrypted are obtained.
For example, for a floating point number of 0.25, a fraction 1/4 may be used to represent and accordingly obtain a numerator 1 to be encrypted and a denominator 4 to be encrypted.
And step S3, respectively encrypting the numerator to be encrypted and the denominator to be encrypted based on the homomorphic encryption algorithm to obtain a first numerator and a first denominator corresponding to the first floating point number.
Specifically, in step S3, it is necessary to complete the encryption of the numerator to be encrypted and the denominator to be encrypted by using a homomorphic encryption algorithm according to the key corresponding to the first floating point number input by the user, and accordingly obtain the encrypted first numerator and the encrypted first denominator. The first numerator and the first denominator may be uploaded and used for homomorphic operations.
In step S4, homomorphic operations on the floating-point number are completed based on the first numerator and the first denominator to form a second numerator and a second denominator.
Step S4 of this embodiment is a homomorphic operation step for the first floating point number, and the homomorphic operation step may include addition and multiplication between floating point numbers, addition and multiplication between floating point numbers and integers, and the like.
Specifically, when performing addition between floating point numbers, assuming that the first floating point number and the third floating point number are added, the corresponding procedure is as follows:
determining a third denominator and a third denominator obtained by encrypting the fraction represented by the third floating point number based on a homomorphic encryption algorithm;
and taking the sum of the product of the first numerator multiplied by the third denominator and the product of the third numerator multiplied by the first denominator as the numerator after homomorphism operation, and taking the product of the first denominator and the third denominator as the denominator after homomorphism operation.
For example, assume that the first and third floating-point numbers are of the form
Figure BDA0003497327140000061
When the addition operation is performed, the
Figure BDA0003497327140000062
The denominator of the numerator of (d) is multiplied by d at the same time,
Figure BDA0003497327140000063
the numerator and denominator of the first and second sub-vectors are multiplied by b at the same time, and finally, the multiplication results are added to obtain the final product
Figure BDA0003497327140000064
The numerator after operation is ad + bc, and the denominator after operation is bd.
When performing multiplication between floating point numbers, assuming that the first floating point number is added to the fourth floating point number, the corresponding procedure is as follows:
determining a fourth denominator and a fourth denominator obtained by encrypting the fraction represented by the fourth floating point number based on a homomorphic encryption algorithm;
and taking the product of the first numerator and the fourth numerator as a homomorphic operated numerator, and taking the product of the first denominator and the fourth denominator as a homomorphic operated denominator.
For example, suppose thatThe third floating point number is in the form of
Figure BDA0003497327140000065
When multiplication is carried out, the numerator and denominator are directly multiplied correspondingly to obtain
Figure BDA0003497327140000066
The numerator after calculation is ac, and the denominator after calculation is bd.
When performing an addition between a floating point number and an integer, assuming that the first floating point number is added to the first integer, the corresponding procedure is as follows:
determining a first encrypted integer obtained by encrypting the first integer based on a homomorphic encryption algorithm;
and taking the sum of the first numerator and the product of the first encryption integer multiplied by the first denominator as a homomorphic operation numerator, and taking the first denominator as a homomorphic operation denominator.
For example, assume that the first floating point number is of the form
Figure BDA0003497327140000071
The first integer is c. When the addition operation is carried out, the numerator a is added with the product of the denominator and the integer, and the denominator is multiplied by the integer to obtain the product
Figure BDA0003497327140000072
The numerator after operation is a + bc, and the denominator after operation is b.
When performing a multiplication between a floating point number and an integer, assuming that the first floating point number is added to the second integer, the corresponding procedure is as follows:
determining a second encrypted integer obtained by encrypting the second integer based on a homomorphic encryption algorithm;
and taking the product of the first numerator and the second encrypted integer as a homomorphic operated numerator, and taking the first denominator as a homomorphic operated denominator.
For example, assume that the first floating point number is of the form
Figure BDA0003497327140000073
The second integer is c. When multiplication is carried out, the numerator a is multiplied by the integer, the denominator is unchanged, and the method is obtained
Figure BDA0003497327140000074
The numerator after calculation is ac, and the denominator after calculation is b.
In practical applications, the above processes may be repeated and executed in combination, that is, the above addition and multiplication may be executed for multiple times by the first floating point number, multiple floating point numbers and multiple integers, so as to complete homomorphic operation. In this embodiment, the numerator and denominator of the floating-point number after homomorphic operation are referred to as a second numerator and a second denominator, respectively.
And step S5, decrypting the second numerator and the second denominator according to the homomorphic encryption algorithm, and dividing to obtain a second floating point number after homomorphic operation is carried out on the first floating point number.
For the ciphertext result (i.e., the second numerator and the second denominator) that completes homomorphic encryption and is returned, the ciphertext result is decrypted according to the key input by the user in step S3 to obtain a decrypted numerator and denominator, and the decrypted numerator and denominator are further divided to obtain the second floating point number after homomorphic operation.
Through the process, homomorphic encryption operation on the floating point number can be completed.
Correspondingly, the embodiment also provides a floating point number processing device corresponding to the floating point number processing method. As shown in fig. 2, the floating-point number processing apparatus 10 includes a floating-point number obtaining module 11, a fraction converting module 12, a homomorphic encrypting module 13, a homomorphic calculating module 14, and a homomorphic decrypting module 15.
The floating-point number obtaining module 11 obtains a first floating-point number to be encrypted.
The fraction conversion module 12 represents the first floating point number as a fraction and obtains a corresponding numerator to be encrypted and a denominator to be encrypted.
The homomorphic encryption module 13 encrypts the numerator to be encrypted and the denominator to be encrypted respectively based on a homomorphic encryption algorithm to obtain a first numerator and a first denominator corresponding to the first floating point number.
Homomorphic operation module 14 completes homomorphic operations on the floating point number based on the first numerator and the first denominator to form a second numerator and a second denominator.
The homomorphic decryption module 15 decrypts the second numerator and the second denominator according to the predetermined key, and divides the decrypted second numerator and the decrypted second numerator to obtain a second floating point number after homomorphic operation is performed on the first floating point number.
In this embodiment, the floating point number obtaining module 11, the fraction converting module 12, the homomorphic encrypting module 13, and the homomorphic decrypting module 15 may be computers held by users, and these modules locally complete the encryption and decryption processes on floating point numbers, and the homomorphic operating module 14 may be a server for performing homomorphic operations, and after receiving the encrypted numerator and denominator (equivalent to the first numerator and the first denominator) uploaded by the user computer, performs homomorphic operations and sends back the calculated results (equivalent to the second numerator and the second denominator) to the user computer for decryption.
The floating-point number processing apparatus 10 provided in the present embodiment has the same implementation principle and technical effect as the foregoing method embodiments, and for the sake of brief description, no mention is made in the apparatus embodiment, and reference may be made to the corresponding contents in the foregoing method embodiments.
The embodiment also provides a processing terminal, which comprises a processor and a memory. Wherein the processor is adapted to execute executable modules, such as computer programs, stored in the memory.
The Memory may include a high-speed Random Access Memory (RAM) and may also include a non-volatile Memory (non-volatile Memory), such as at least one disk Memory. The memory is used for storing a program, and the processor executes the program after receiving an execution instruction, and the method disclosed by any embodiment of the invention can be applied to the processor or implemented by the processor.
The processor may be an integrated circuit chip having signal processing capabilities. In implementation, the steps of the above method may be performed by integrated logic circuits of hardware in a processor or instructions in the form of software. The Processor may be a general-purpose Processor, and includes a Central Processing Unit (CPU), a Network Processor (NP), and the like; the device can also be a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field-Programmable Gate Array (FPGA), or other Programmable logic devices, discrete Gate or transistor logic devices, discrete hardware components. The various methods, steps and logic blocks disclosed in the embodiments of the present invention may be implemented or performed. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like. The steps of the method disclosed in connection with the embodiments of the present invention may be directly implemented by a hardware decoding processor, or implemented by a combination of hardware and software modules in the decoding processor. The software module may be located in ram, flash memory, rom, prom, or eprom, registers, etc. storage media as is well known in the art. The storage medium is located in a memory, and a processor reads information in the memory and combines hardware thereof to complete the steps of the method.
The floating point number processing method, the processing terminal, and the computer program product of the computer readable storage medium according to the embodiments of the present invention include a computer readable storage medium storing a program code, where instructions included in the program code may be used to execute the method described in the foregoing method embodiments, and specific implementation may refer to the method embodiments, and will not be described herein again.
Examples effects and effects
According to the floating-point number processing method, the floating-point number processing device, the processing terminal and the readable medium provided by the embodiment, the floating-point number is converted into the numerator and the denominator through the fractional form, and the numerator and the denominator are encrypted through the homomorphic encryption algorithm respectively and used for subsequent homomorphic operation, so that the homomorphic encryption algorithm based on the classical password can be used for encrypting and calculating the floating-point number efficiently, encryption does not need to be realized based on the lattice theory, the encryption and operation speed of the floating-point number is improved through the way, and the space for storing a ciphertext can be saved.
Finally, it should be noted that: although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art will understand that: any person skilled in the art can modify or easily conceive the technical solutions described in the foregoing embodiments or equivalent substitutes for some technical features within the technical scope of the present disclosure; such modifications, changes or substitutions do not depart from the spirit and scope of the embodiments of the present invention, and they should be construed as being included therein. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (8)

1. A floating point number processing method, comprising the steps of:
step S1, acquiring a first floating point number to be encrypted;
step S2, the first floating point number is expressed as a fraction and corresponding numerator to be encrypted and denominator to be encrypted are obtained;
step S3, respectively encrypting the numerator number to be encrypted and the denominator number to be encrypted based on a homomorphic encryption algorithm to obtain a first numerator and a first denominator corresponding to the first floating point number;
step S4, completing homomorphic operation aiming at the floating point number based on the first numerator and the first denominator to form a second numerator and a second denominator;
and step S5, decrypting the second numerator and the second denominator according to the homomorphic encryption algorithm, and dividing to obtain a second floating point number after homomorphic operation is performed on the first floating point number.
2. A floating point number processing method according to claim 1, characterised in that:
the homomorphic operation includes adding the first floating point number to a third floating point number, the adding to the third floating point number including:
determining a third denominator and a third denominator obtained by encrypting the fraction represented by the third floating point number based on the homomorphic encryption algorithm;
and taking the sum of the product of the first numerator multiplied by the third denominator and the product of the third numerator multiplied by the first denominator as a homomorphic operation numerator, and taking the product of the first denominator and the third denominator as a homomorphic operation denominator.
3. A floating point number processing method according to claim 1, characterised in that:
the homomorphic operation includes multiplying the first floating point number by a fourth floating point number, the multiplying by the fourth floating point number including:
determining a fourth denominator and a fourth denominator obtained by encrypting the fraction represented by the fourth floating point number based on the homomorphic encryption algorithm;
and taking the product of the first numerator and the fourth numerator as a homomorphic operated numerator, and taking the product of the first denominator and the fourth denominator as a homomorphic operated denominator.
4. A floating point number processing method according to claim 1, characterised in that:
the homomorphic operation comprises adding the first floating point number to a first integer, the adding to the first integer comprising:
determining a first encrypted integer obtained by encrypting the first integer based on the homomorphic encryption algorithm;
and taking the sum of the first numerator and the product of the first encryption integer multiplied by the first denominator as a homomorphic operation numerator, and taking the first denominator as a homomorphic operation denominator.
5. A floating point number processing method according to claim 1, characterised in that:
the homomorphic operation comprises multiplying the first floating point number by a second integer, the multiplying by the second integer comprising:
determining a second encrypted integer obtained by encrypting the second integer based on the homomorphic encryption algorithm;
and taking the product of the first numerator and the second encrypted integer as a homomorphic operated numerator, and taking the first denominator as a homomorphic operated denominator.
6. A floating point number processing apparatus, comprising:
the floating point number acquisition module is used for acquiring a first floating point number to be encrypted;
the fraction conversion module is used for representing the first floating point number as a fraction and obtaining a corresponding numerator to be encrypted and a denominator to be encrypted;
the homomorphic encryption module is used for encrypting the numerator number to be encrypted and the denominator number to be encrypted respectively based on a homomorphic encryption algorithm to obtain a first numerator and a first denominator corresponding to the first floating point number;
the homomorphic operation module is used for finishing homomorphic operation aiming at the floating point number based on the first numerator and the first denominator to form a second numerator and a second denominator;
and the homomorphic decryption module is used for decrypting the second numerator and the second denominator according to the preset secret key and dividing the decrypted numerator and the second numerator to obtain a second floating point number after homomorphic operation is carried out on the first floating point number.
7. A processing terminal comprising a processor and a memory, the memory storing computer-executable instructions executable by the processor, the processor executing the computer-executable instructions to implement the method of any one of claims 1 to 5.
8. A computer-readable storage medium having computer-executable instructions stored thereon which, when invoked and executed by a processor, cause the processor to implement the method of any of claims 1 to 5.
CN202210118058.0A 2022-02-08 2022-02-08 Floating point number processing method and device, terminal and storage medium Pending CN114547645A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202210118058.0A CN114547645A (en) 2022-02-08 2022-02-08 Floating point number processing method and device, terminal and storage medium

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202210118058.0A CN114547645A (en) 2022-02-08 2022-02-08 Floating point number processing method and device, terminal and storage medium

Publications (1)

Publication Number Publication Date
CN114547645A true CN114547645A (en) 2022-05-27

Family

ID=81673868

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202210118058.0A Pending CN114547645A (en) 2022-02-08 2022-02-08 Floating point number processing method and device, terminal and storage medium

Country Status (1)

Country Link
CN (1) CN114547645A (en)

Similar Documents

Publication Publication Date Title
US20200177366A1 (en) Homomorphic data encryption method and apparatus for implementing privacy protection
JP6083234B2 (en) Cryptographic processing device
JP2020074039A (en) Method and system for encrypting data
JP2016012111A (en) Encryption processing method, encryption processing device, and encryption processing program
JP6575532B2 (en) Encryption device, decryption device, encryption processing system, encryption method, decryption method, encryption program, and decryption program
JP2014126865A (en) Device and method for encryption processing
JP5929905B2 (en) Order-preserving encryption system, apparatus, method, and program
JP2016114855A (en) Encryption processing device, encryption processing method, and encryption processing program
US10044499B2 (en) Information processing apparatus, program, and storage medium
CN110505054B (en) Data processing method, device and equipment based on dynamic white box
KR20060134992A (en) Computer system, computer program, and addition method
JP5852518B2 (en) Authentication encryption device, authentication decryption device, and program
CN112865957A (en) Data encryption transmission method and device, computer target equipment and storage medium
CN112100144A (en) Block chain file sharing method and device, storage medium and electronic equipment
CN108768642B (en) Data aggregation method and device, computer equipment and storage medium
Pöppelmann Efficient implementation of ideal lattice-based cryptography
CN115834018A (en) Multi-party data processing method, system and equipment for protecting privacy
CN114547645A (en) Floating point number processing method and device, terminal and storage medium
JP7383985B2 (en) Information processing device, information processing method and program
KR101133988B1 (en) Method for encrypting and decrypting stream and cryptographic file systems thereof
US11343070B2 (en) System and method for performing a fully homomorphic encryption on a plain text
CN113645022A (en) Method and device for determining privacy set intersection, electronic equipment and storage medium
JPWO2021171543A5 (en) Authentication encryption device, authentication decryption device, authentication encryption method, authentication decryption method and program
EP3419213A1 (en) Computer implemented method, computer system and computer readable computer program product
WO2024077948A1 (en) Private query method, apparatus and system, and storage medium

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination