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OALib Journal期刊
ISSN: 2333-9721
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AN IDENTIFICATION SCHEME BASED ON PARITY CHECK MATRIX OF RANK DISTANCE CODES OVER GF(qN)
基于GF(qN)上秩距离码的校验矩阵的验证方案

Keywords: Identification scheme,Parity check matrix,Rank distance code,Zero-knowledge
验证方案
,校验矩阵,秩距离码,保密通信,零知识

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Abstract:

An identification scheme based on parity check matrix of error-correcting codes over GF(2) was proposed in the paper "A New Paradigm for Public Key Identification" by J. Stern(1996), a new identification scheme based on parity check matrix of rank distance codes over GF(qN) (q is a prime) is proposed in this paper, the limitation on the weight of mysterious datum s is changed into the limitation on the rank of s. It is proved that the given protocol is a zero-knowledge interactive proof in the random oracle model, and it is shown that the scheme is more secure than the scheme of J. Stern when parameters are selected properly.

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