CN111325535A - Block chain private key management method, system and storage medium based on elliptic curve migration - Google Patents

Block chain private key management method, system and storage medium based on elliptic curve migration Download PDF

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CN111325535A
CN111325535A CN202010102870.5A CN202010102870A CN111325535A CN 111325535 A CN111325535 A CN 111325535A CN 202010102870 A CN202010102870 A CN 202010102870A CN 111325535 A CN111325535 A CN 111325535A
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private key
seed
offset
elliptic curve
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陈飞杨
陈建秋
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Fuzhou Boquan Network Technology Co ltd
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Fuzhou Boquan Network Technology Co ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q20/00Payment architectures, schemes or protocols
    • G06Q20/04Payment circuits
    • G06Q20/06Private payment circuits, e.g. involving electronic currency used among participants of a common payment scheme
    • G06Q20/065Private payment circuits, e.g. involving electronic currency used among participants of a common payment scheme using e-cash
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F11/00Error detection; Error correction; Monitoring
    • G06F11/07Responding to the occurrence of a fault, e.g. fault tolerance
    • G06F11/14Error detection or correction of the data by redundancy in operation
    • G06F11/1402Saving, restoring, recovering or retrying
    • G06F11/1446Point-in-time backing up or restoration of persistent data
    • G06F11/1448Management of the data involved in backup or backup restore
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q20/00Payment architectures, schemes or protocols
    • G06Q20/38Payment protocols; Details thereof
    • G06Q20/382Payment protocols; Details thereof insuring higher security of transaction
    • G06Q20/3829Payment protocols; Details thereof insuring higher security of transaction involving key management
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q40/00Finance; Insurance; Tax strategies; Processing of corporate or income taxes
    • G06Q40/04Trading; Exchange, e.g. stocks, commodities, derivatives or currency exchange

Abstract

The present application relates to the field of blockchain technology, and in particular, to a method, a system, and a storage medium for managing a blockchain private key based on elliptic curve migration. The method comprises the following steps: generating a seed private key and a seed public key corresponding to the seed private key; obtaining an offset; obtaining a new public key from an elliptic curve according to the seed public key and the offset; calculating to obtain a new wallet address according to the new public key; and obtaining a new private key from an elliptic curve according to the seed private key and the offset, and signing the transaction of the new wallet address by using the new private key. In the method, the private key of the wallet address is generated depending on the seed private key and the offset, and the private key of the wallet address cannot be leaked due to independent leakage of the seed private key and the offset, so that the safety of the wallet is greatly improved, and the problem that a public and private key pair must be created for each address to be stored and backed up in a common wallet is solved.

Description

Block chain private key management method, system and storage medium based on elliptic curve migration
Technical Field
The present application relates to the field of blockchain technology, and in particular, to a method, a system, and a storage medium for managing a blockchain private key based on elliptic curve migration.
Background
The blockchain is a novel application mode of computer technologies such as distributed data storage, point-to-point transmission, a consensus mechanism and an encryption algorithm. The block chain technology can be understood as a distributed account book technology, is an internet database technology and is characterized in that centralization and openness are realized, and everyone can participate in database recording.
In the block chain underlying technology, a series of cryptographic methods are used for ensuring the security of data and the reliability of transactions, and public and private key pairs are generated by utilizing the one-way characteristic of an asymmetric elliptic curve encryption algorithm. The private key is generated by a random seed, the public key is deduced by the private key through an algorithm, because the public key is too long, an address is deduced from the public key for simplicity and practicality, and the deduction processes are unidirectional and irreversible, namely the address cannot deduce the public key, and the public key cannot deduce the private key. In the use mode, the information encrypted by the public key is decrypted by the private key; whereas information signed with the private key is verified with the public key. The public key and address are made public, while the private key is kept secure for transfers and other operations supported by any blockchain application that can use the private key, which is said to be the most core part of protecting data on the user blockchain.
The blockchain wallet is application software used for managing addresses and private keys of users and signing user transactions through the private keys, and because a plurality of addresses can help the users to reduce loss risks and have better anonymity, how to safely and conveniently generate, store and backup and restore keys corresponding to each address is one of key functions of the blockchain wallet. The current block chaining wallet mainly has the following two ways according to the generation and management of the key:
1. non-deterministic wallets (also known as random wallets) in which the private key generated by the Wallet for each address is independently random and has no relationship to each other. If the corresponding private key of a certain address is leaked, the security threat to other addresses cannot be caused. The main problems with this approach are: each time a private key is regenerated, the private key to be stored by the user is more and more, and the private key is difficult to manage, backup and import.
2. Deterministic wallets (also known as seed wallets), each generated private key is generated by a one-way hash of a seed, which is a string of random numbers generated by a random number generator. In the deterministic wallet, all private keys can be retrieved as long as the seed is available, and only the backup of the seed is equivalent to the backup of all your purses. HD wallets, (Hierarchical Deterministic wallets), are a further improvement of Deterministic wallets, where individual private keys may be generated at different levels, a master key may generate a subkey, a subkey may derive a grandchild key, and so on. Meanwhile, the HD wallet converts the seeds into a string of mnemonic words by using an algorithm, so that the records are convenient to store. Although the deterministic wallet simplifies the backup recovery mode of the private key, once the seed or the mnemonic word is leaked, the account funds corresponding to all the private keys are at risk of being stolen.
Disclosure of Invention
One of the objectives of the present invention is to overcome the above disadvantages and provide a method for managing a blockchain private key based on elliptic curve migration, which can reduce the security risk caused by private key leakage, improve the security of the blockchain wallet, and facilitate the storage and backup of the private key.
In order to solve the technical problem, the invention provides a block chain private key management method based on elliptic curve migration, which comprises the following steps:
step 1, generating a seed private key and a seed public key corresponding to the seed private key;
step 2, obtaining an offset;
step 3, obtaining a new public key from an elliptic curve according to the seed public key and the offset;
step 4, calculating according to the new public key to obtain a new wallet address;
and 5, obtaining a new private key from an elliptic curve according to the seed private key and the offset, and signing the transaction of the new wallet address by using the new private key.
According to the technical scheme, the private key and the public key of the new wallet address are calculated according to the unique seed public and private key pair and the offset, on one hand, the private key of the wallet address is generated depending on the seed private key and the offset, and the private key of the wallet address is independently leaked without causing the leakage of the private key of the wallet address, so that the safety of the wallet is greatly improved, on the other hand, the private key of the wallet address is related to the seed public key and can be obtained through calculation, and the problem that a public and private key pair is required to be created for each address of an ordinary wallet to be stored and backed up is solved.
Further, the offset is randomly generated by the system.
Further, the offset is calculated and generated according to input information of a user.
Further, the input information of the user may be numbers, text or images.
Because the offset is randomly generated by the system or obtained according to the user input and has no regularity, the private keys of different wallet addresses have no association, and the security is controllable.
Further, the seed private key, the seed public key and the offset are respectively stored in different storage media.
By respectively storing the seed private key, the seed public key and the offset corresponding to each wallet address, the risk of simultaneous leakage can be reduced, and the security is higher.
Accordingly, the present application also provides a computer-readable storage medium having stored thereon a computer program which, when being executed by a processor, carries out the steps of the above-mentioned elliptic curve migration-based blockchain private key management method.
Correspondingly, the application also provides a block chain private key management system based on elliptic curve migration, which comprises a seed generation module, a migration generation module, a public key calculation module, a wallet address calculation module and a private key calculation module, wherein the seed generation module, the migration generation module, the public key calculation module, the wallet address calculation module and the private key calculation module are arranged in the block chain private key management system
The seed generation module is used for generating a seed private key and a seed public key corresponding to the seed private key;
the offset generating module is used for acquiring an offset;
the public key calculation module is used for obtaining a new public key from an elliptic curve according to the seed public key and the offset;
the wallet address calculation module is used for calculating a new wallet address according to the new public key;
and the private key calculation module is used for obtaining a new private key from an elliptic curve according to the seed private key and the offset, and signing the transaction of the new wallet address by using the new private key.
Further, the block chain private key management system based on elliptic curve migration further comprises a storage module, which is used for storing the seed private key, the seed public key and the migration amount respectively.
Further, the offset generation module randomly generates the offset.
Further, the offset generating module calculates and generates the offset according to input information of a user, where the input information of the user may be numbers, text, or images.
Different from the prior art, the technical scheme of the invention has the following beneficial effects:
1. according to the technical scheme, the private key and the public key of the new wallet address are calculated according to the unique seed public and private key pair and the offset, on one hand, the private key of the wallet address is generated depending on the seed private key and the offset, and the private key of the wallet address is independently leaked without causing the leakage of the private key of the wallet address, so that the safety of the wallet is greatly improved, on the other hand, the private key of the wallet address is related to the seed public key and can be obtained through calculation, and the problem that a public and private key pair is required to be created for each address of an ordinary wallet to be stored and backed up is solved.
2. Because the offset is randomly generated by the system or obtained according to the user input and has no regularity, the private keys of different wallet addresses have no association, and the security is controllable.
3. By respectively storing the seed private key, the seed public key and the offset corresponding to each wallet address, the risk of simultaneous leakage can be reduced, and the security is higher.
Drawings
FIG. 1 is a flow chart of the steps of the block chain private key management method based on elliptic curve migration of the present invention.
FIG. 2 is a block chain private key management system architecture diagram based on elliptic curve migration in accordance with the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Fig. 1 is a flowchart illustrating the steps of the block chain private key management method based on elliptic curve migration according to the present invention, which includes the following steps:
step 1, generating a seed private key and a seed public key corresponding to the seed private key;
in the asymmetric encryption system, a public key and a private key are a key pair obtained through an algorithm, the key pair is one of the most important parts in a block chain encryption protocol, the public key is a public part in the key pair and can be obtained by anyone, and the private key is a non-public part and is owned by a user only, so that security risks can be caused once the public key and the private key are disclosed. When using a key pair, if one key is used to encrypt a piece of data, the other key must be used to decrypt it, the private key is typically used for signing, and the public key is typically used to encrypt the session key and verify the digital signature. In the technical scheme of the application, such a public-private key pair needs to be generated as a unique seed key pair, and the key pairs corresponding to all subsequent wallet addresses are generated based on the seed key pair. In a specific embodiment, the seed private key and the corresponding seed public key may be generated by using an existing technology, for example, calculated by using RSA or ECDSA (elliptic curve) method. According to the technical scheme of the application, the signature of the transaction is not participated after the seed private key and the seed public key are generated, and the public and private key pair and the wallet address corresponding to the new wallet are generated according to the input offset when the new wallet address needs to be created.
Step 2, obtaining an offset; the offset referred to herein refers to a variable of int256 type, representing a value of offset on an elliptic curve, for generating a new public key for a new wallet address from the seed public key. The offset may be obtained in various ways, and in a specific embodiment, the offset may be randomly generated by the system within a value range; the offset may be a number, a text, an image, or the like, which is converted by the system according to a predetermined rule, according to the input of the user. The offset has no regularity whether randomly produced by the system or calculated and generated according to input information of a user, and the offsets acquired for creating different wallet addresses have no correlation, so that each subsequently generated wallet address is independent from each other, and the security risk of other addresses caused by leakage of one wallet address is avoided.
Step 3, obtaining a new public key from an elliptic curve according to the seed public key and the offset;
in the mathematical sense, by the equation y2=x3The curve described by + ax + b is called an elliptic curve, the elliptic curve is symmetrical relative to the x axis, and the equation corresponds to different curves along with different values of a and b. The security of the elliptic curve cryptosystem is based on the difficulty of the elliptic curve discrete logarithm problem, and compared with a discrete logarithm system, the elliptic curve cryptosystem has smaller calculation parameters, shorter secret key, higher operation speed and shorter signature, so that the elliptic curve cryptosystem is particularly suitable for occasions with limited processing capacity, storage space, bandwidth and power consumption.
In the block chain encryption technology, the public key can be obtained after the private key is subjected to elliptic curve multiplication, and the process is irreversible, namely, the public key can only be obtained through the private key, but the private key cannot be obtained from the public key. Assuming that the seed private key and the seed public key are K and K, respectively, K ═ kG is satisfied, where G is a point G of the elliptic curve algorithm, and if there is a certain offset M, the following derivation may be performed:
(k+M)G=kG+MG=K+MG
therefore, after the private key (K) is subjected to relative M offset, a new private key (NK) is obtained, and the public key (NK) corresponding to the new private key is equal to the public key (K') obtained after the original public key (K) is subjected to M offset.
According to the principle, after the offset is obtained, the seed public key is offset by a corresponding numerical value in the elliptic curve, and then a new public key can be obtained.
Step 4, calculating according to the new public key to obtain a new wallet address;
the bit currency wallet address is obtained by a public key through a series of one-way hash algorithms, wherein the hash algorithms are one-way functions and can receive input with any length to generate fingerprints or hash values. In a specific embodiment, the algorithms used in generating the wallet address from the public key are Secure Hash Algorithm (SHA) and the RACE integer Primitiveevaluation Message Digest (RIPEMD), in particular SHA256 and RIPEMD 160. That is, taking the public key K as input, the SHA256 hash is computed, and then the ripemmd 160 hash is computed, and the resulting 160-bit (20-byte) number is the wallet address. In addition, to improve readability, avoid ambiguity, and effectively prevent errors in address transcription and entry, the calculated wallet address is then Base58Check encoded to the final address.
And 5, obtaining a new private key from an elliptic curve according to the seed private key and the offset, and signing the transaction of the new wallet address by using the new private key.
And according to the derivation formula, the seed private key is subjected to corresponding offset value offset on the elliptic curve, so that a new private key corresponding to the new wallet address can be obtained. Thus, a public key and a private key corresponding to a new wallet address are generated, and the transaction information of the address can be signed by the new private key in the transaction process of the blockchain asset. It should be noted that, the method of the present application does not store the private key corresponding to each address, but recalculates the private key according to the seed private key and the offset in each transaction.
According to the technical scheme, on one hand, the private key of each wallet address is calculated on the elliptic curve by the seed private key and the offset, if the seed private key or the offset is leaked independently, the wallet account is still safe, only when the seed private key and the offset are leaked simultaneously, the safety risk is caused to the wallet account, and the probability of the situation is far smaller than the probability of the leakage of the private key or the mnemonic word in the prior art, so that the safety of the wallet account is improved; on the other hand, the public key and the private key of each wallet address can be calculated through the seed key pair and the offset, so that full backup of the public and private keys of all addresses is not needed, only the seed private key pair and the M value corresponding to each wallet address need to be backed up, management is convenient, and storage space is reduced.
In a preferred embodiment, the seed private key, the seed public key, and the offset may be stored in different storage media, respectively. By means of physical separated storage, the situation that the seed private key and the offset are leaked at the same time or the situation that the seed public key and the offset are leaked at the same time is prevented, and the safety of the block chain assets on each address is further guaranteed.
In another embodiment, the present application provides a computer-readable storage medium having a computer program stored thereon, which when executed by a processor, performs the steps of any of the embodiments described above.
Example (b):
taking the secp256k1 elliptic curve as an example, the steps of the elliptic curve offset-based block chain private key management method are as follows:
step 1, randomly generating a seed private key and a seed public key corresponding to the seed private key as shown in the following;
the seed private key is KzvrMSUiP5HYBR6r9 nPgezxDNMJTAR 8V2iwPRqkfRMucoPjdJn 8.
Seed public key: 0324b7ca8ee23b5b6d0651d47475411ab5f0a7b6 db5c44726744572c531433 df.
Step 2, when a wallet address needs to be newly built, acquiring an offset, assuming that the offset is acquired by a user input mode, the user input is 'hello', and the offset obtained by the system after hash256 is performed on the user input is:
503d8319a48348cdc610a582f7bf754b5833df65038606eb48510790dfc99595。
step 3, obtaining a new public key of the address from an elliptic curve according to the seed public key and the offset; the new public key calculated is: 03935f4d423d648b014f0920be14f81988ce96eca75d945277c4368b65b4052 acb.
And 4, calculating to obtain a new wallet address according to the new public key:
16SJE5W8FRK1DTgJH66PP4gJMM2VEMot94, at this time, the wallet address can be published externally as the collection address.
Step 5, when the wallet address has a transaction to be signed, firstly obtaining a new private key from the elliptic curve according to the seed private key and the offset:
2SaTph6V2AHRVKJu1653m8MjSCeyTWb94eTE1YCpik4 bskcuf 5agrH and signs the transaction for the new wallet address with the new private key.
Likewise, when multiple addresses need to be generated, steps 2 to 5 above can be repeated, different wallet addresses are generated according to different offsets, and transaction signatures are made.
As shown in fig. 2, the block chain private key management system architecture diagram based on elliptic curve migration of the present invention includes a seed generation module, a migration generation module, a public key calculation module, a wallet address calculation module, and a private key calculation module, wherein
The seed generation module is used for generating a seed private key and a seed public key corresponding to the seed private key; the asymmetric encryption method is used to generate the public and private key pair of the seed, which can be generated by the existing technology, for example, by using RSA or ECDSA (elliptic curve) method. The seed private key and the seed public key are not involved in the signature of the transaction after being generated, and are only used for generating a public and private key pair and a wallet address corresponding to a new wallet according to the input offset when the new wallet address needs to be created. In a specific embodiment, an external hardware device such as a usb key may be used for generation and storage of the seed public and private key pair.
The offset generating module is used for acquiring an offset; the offset referred to herein refers to a variable of int256 type, representing a value of offset on an elliptic curve, for generating a new public key for a new wallet address from the seed public key. The offset may be obtained in various ways, and in a specific embodiment, the offset may be randomly generated by the system within a value range; the offset may be a number, a text, an image, or the like, which is converted by the system according to a predetermined rule, according to the input of the user. The offset has no regularity whether randomly produced by the system or calculated and generated according to input information of a user, and the offsets acquired for creating different wallet addresses have no correlation, so that each subsequently generated wallet address is independent from each other, and the security risk of other addresses caused by leakage of one wallet address is avoided. In a specific embodiment, the offset generation module may also be a separate hardware device, such as a dynamic token.
The public key calculation module is used for obtaining a new public key from an elliptic curve according to the seed public key and the offset; and shifting the value of the offset quantity on the elliptic curve by using the seed public key to obtain a new public key value.
The wallet address calculation module is used for calculating a new wallet address according to the new public key; the bit currency wallet address is obtained by a public key through a series of one-way hash algorithms, wherein the hash algorithms are one-way functions and can receive input with any length to generate fingerprints or hash values. In a specific embodiment, the algorithms used in generating the wallet address from the public key are SecureHash Algorithm (SHA) and the RACE Integer Preferences Evaluation Messagedigest (RIPEMD), in particular SHA256 and RIPEMD 160. That is, taking the public key K as input, the SHA256 hash is computed, and then the ripemmd 160 hash is computed, and the resulting 160-bit (20-byte) number is the wallet address. In addition, to improve readability, avoid ambiguity, and effectively prevent errors in address transcription and entry, the calculated wallet address is then Base58Check encoded to the final address.
And the private key calculation module is used for obtaining a new private key from an elliptic curve according to the seed private key and the offset, and signing the transaction of the new wallet address by using the new private key. And similarly, shifting the seed private key on the elliptic curve by the corresponding offset value to obtain a new private key corresponding to the new wallet address. Thus, a public key and a private key corresponding to a new wallet address are generated, and the transaction information of the address can be signed by the new private key in the transaction process of the blockchain asset.
In a preferred embodiment, the elliptic curve migration-based block chain private key management system further includes a storage module, such as a seed private key storage module, a seed public key storage module, and an offset storage module, configured to store the seed private key, the seed public key, and the offset, respectively. By means of physical separated storage, the situation that the seed private key and the offset are leaked at the same time or the situation that the seed public key and the offset are leaked at the same time is prevented, and the safety of the block chain assets on each address is further guaranteed.
The above embodiments are merely illustrative of the technical solutions of the present invention, and the present invention is not limited to the above embodiments, and any modifications or alterations according to the principles of the present invention should be within the protection scope of the present invention.

Claims (10)

1. A block chain private key management method based on elliptic curve migration is characterized by comprising the following steps:
step 1, generating a seed private key and a seed public key corresponding to the seed private key;
step 2, obtaining an offset;
step 3, obtaining a new public key from an elliptic curve according to the seed public key and the offset;
step 4, calculating according to the new public key to obtain a new wallet address;
and 5, obtaining a new private key from an elliptic curve according to the seed private key and the offset, and signing the transaction of the new wallet address by using the new private key.
2. The elliptic curve migration-based blockchain private key management method of claim 1, wherein the migration amount is randomly generated by a system.
3. The elliptic curve migration-based blockchain private key management method of claim 1, wherein the migration amount is calculated and generated according to input information of a user.
4. The elliptic curve migration-based blockchain private key management method according to claim 3, wherein the input information of the user can be numbers, text or images.
5. The elliptic curve migration-based block chain private key management method of claims 1-4, wherein the seed private key, the seed public key and the migration amount are stored in different storage media respectively.
6. A computer-readable storage medium, on which a computer program is stored, which program, when being executed by a processor, carries out the steps of any one of claims 1-4.
7. A block chain private key management system based on elliptic curve migration is characterized by comprising a seed generation module, a migration generation module, a public key calculation module, a wallet address calculation module and a private key calculation module, wherein the seed generation module, the migration generation module, the public key calculation module, the wallet address calculation module and the private key calculation module are arranged in the block chain private key management system
The seed generation module is used for generating a seed private key and a seed public key corresponding to the seed private key;
the offset generating module is used for acquiring an offset;
the public key calculation module is used for obtaining a new public key from an elliptic curve according to the seed public key and the offset;
the wallet address calculation module is used for calculating a new wallet address according to the new public key;
and the private key calculation module is used for obtaining a new private key from an elliptic curve according to the seed private key and the offset, and signing the transaction of the new wallet address by using the new private key.
8. The elliptic curve migration-based block chain private key management system of claim 7 further comprising a storage module for storing the seed private key, the seed public key, and the migration amount, respectively.
9. The elliptic curve migration based blockchain private key management system of claims 7-8 wherein the offset generation module randomly generates the offset.
10. The elliptic curve migration-based blockchain private key management system according to claims 7-8, wherein the offset generation module generates the offset by calculation based on input information of a user, wherein the input information of the user can be numbers, texts or images.
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CN112769566A (en) * 2021-01-19 2021-05-07 上海布沁网络科技有限公司 Block chain HD private key retrieving method
CN112910638A (en) * 2021-01-19 2021-06-04 上海布沁网络科技有限公司 Block chain system key retrieving method
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CN114760052A (en) * 2022-03-30 2022-07-15 中国农业银行股份有限公司 Bank Internet of things platform key generation method and device, electronic equipment and medium
CN115147111A (en) * 2022-09-02 2022-10-04 杭州弦冰科技有限公司 Key generation method and device, electronic device and storage medium

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Application publication date: 20200623