Interactive type zero-knowledge identity authentication method based on multivariate public-key cryptosystem

A multi-variable public key, identity authentication technology, applied in the direction of user identity/authority verification, public key of secure communication, etc., can solve the problem of no longer security, and achieve the effect of security calculation efficiency

Inactive Publication Date: 2013-08-21
XIAN UNIV OF TECH
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  • Abstract
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  • Application Information

AI Technical Summary

Problems solved by technology

[0013] The purpose of the present invention is to provide an interactive zero-knowledge identity authentication method based on a multivariable public key cryptosystem, to solve the problem that the existing technology is no longer safe under quantum computing

Method used

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  • Interactive type zero-knowledge identity authentication method based on multivariate public-key cryptosystem
  • Interactive type zero-knowledge identity authentication method based on multivariate public-key cryptosystem
  • Interactive type zero-knowledge identity authentication method based on multivariate public-key cryptosystem

Examples

Experimental program
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Embodiment 1

[0062] Embodiment 1. An interactive zero-knowledge identity verification method based on a multivariable oil-vinegar public key cryptosystem

[0063] Step 1. Generate System Parameters

[0064] (1) Setting k=GF(q) is a finite field characterized by p=2, where q=2 8 .

[0065] (2) Let o=30, v=64, m=o=30 be the number of equations in the multivariate equation system, and n=o+v=94 be the number of variables.

[0066] Common input of the prover and verifier: the prover randomly selects F from k n to k m The reversible Oil-Vinegar polynomial map of , an Oil-Vinegar polynomial is any polynomial with a total degree of 2 of the form

[0067]

[0068] where a ij ,b ij ,c i , d j , e ∈ k.

[0069] Let F:k n →k o is a polynomial map of the form:

[0070]

[0071] in is the Oil-Vinegar polynomial.

[0072] The prover randomly chooses L 2 is from k n to k n An invertible affine transformation of

[0073] L 2 (...

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Abstract

An interactive type zero-knowledge identity authentication method based on a multivariate public-key cryptosystem comprises the steps of generating system parameters and repeatedly executing interactive steps t (t>=1) times. The interactive type zero-knowledge identity authentication method based on the multivariate public-key cryptosystem can solve the problem that an existing interactive type zero-knowledge identity certification method is no longer safe under quantum computing, has completeness, soundness and zero knowledgeability, and is still safe in a post quantum cryptography age.

Description

technical field [0001] The invention belongs to the technical field of information security, and relates to an interactive zero-knowledge identity authentication method based on a multivariable public key cryptosystem. Background technique [0002] The zero-knowledge proof method is a two-party protocol used to solve such practical problems: the prover proves to the verifier that he has some kind of secret information, but the verifier does not know what the secret information is after he is sure. , the prover reveals zero information about the secret to the verifier. Zero-knowledge proofs are divided into interactive and non-interactive zero-knowledge proofs, which are widely used in the field of information security, such as digital signatures, network identity authentication, fair exchange, key agreement, electronic voting and electronic payment systems, etc. [0003] The general process of zero-knowledge proof: [0004] The complete process of sending and receiving a m...

Claims

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Application Information

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IPC IPC(8): H04L9/32H04L9/30
Inventor 王尚平
Owner XIAN UNIV OF TECH
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