Computer Science ›› 2019, Vol. 46 ›› Issue (6): 162-167.doi: 10.11896/j.issn.1002-137X.2019.06.024

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Digital Signature Algorithm Based on QC-LDPC Code

YANG Xue-fei, ZHENG Dong, REN Fang   

  1. (School of Telecommunication and Information Engineering,Xi’an University of Posts and Telecommunications,Xi’an 710121,China)
    (National Engineering Laboratory for Wireless Security,Xi’an University of Posts and Telecommunications,Xi’an 710121,China)
  • Received:2018-04-08 Published:2019-06-24

Abstract: Code-based public key cryptography can resist the attack of quantum algorithms.Aiming at the large amount of key in classical CFS signature scheme,this paper proposed a kind of CFS signature scheme based on QC-LDPC codes.This scheme improves the traditional CFS signature scheme based on QC-LDPC codes.The BP fast decoding algorithm of QC-LDPC codes is used in the signature process.The analysis shows that the new scheme can reduce the key storage space of CFS,improve the efficiency of signature,and effectively resist the attack of quantum algorithm without reducing the security.

Key words: BP decoding algorithm, CFS signature scheme, Public key cryptography, QC-LDPC codes

CLC Number: 

  • TP309
[1]SHOR P W.Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer.Siam Review,1997,41(2):1484-1509.
[2]BERNSTEIN D J.Introduction to post-quantum cryptography[J].Post Quantum Cryptography,2009,85(1-2):1-14.
[3]MCELIECE R J.A Public-Key Cryptosystem Based on Algebraic Coding Theory[J].Deep Space Network Progress Report,1978,42(44):114-116.
[4]NIEDERREITER H.Knapsack-type cryptosystems and algebraic coding theory[J].Problems Control Inform Theory,1986,15(2):159-166.
[5]COURTOIS N,FINIASZ M,SENDRIER N.How to Achieve a McEliece-Based Digital Signature Scheme[C]∥Advances in Cryptology- ASIACRYPT 2001,International Conference on the Theory and Application of Cryptology and Information Security.Australia:DBLP,2006:157-174.
[6]GALLAGER R G.Low-density parity-check codes[J].Information Theory Ire Transactions on,1960,8(1):21-28.
[7]MACKAY D J C,NEAL R M.Near Shannon limit performance of low density parity check codes[J].Electronics Letters,1996,33(6):457-458.
[8]BALDI M,CHIARALUCE F,GARELLO R,et al.Quasi-Cyclic Low-Density Parity-Check Codes in the McEliece Cryptosystem[C]∥IEEE International Conference on Communications.IEEE,2007:951-956.
[9]BLAZY O,GABORIT P,SCHREK J,et al.A code-based blind signature[C]∥IEEE International Symposium on Information Theory.IEEE,2017:2718-2722.
[10]CHEN S,ZENG P,CHOO K K R,et al.Efficient Ring Signature and Group Signature Schemes Based on q-ary Identification Protocols[J].Computer Journal,2018,61(4):545-560.
[11]LING S,NGUYEN K,ROUX-LANGLOIS A,et al.A lattice-based group signature scheme with verifier-local revocation [J].Theoretical Computer Science,2018,730(19):1-20.
[12]REN F,ZHENG D,FAN J L.Survey of Digital Signature Technology based on Error Correcting Codes[J].Chinese Journal of Network and Information Security,2016,2(11):1-10.(in Chinese)
任方,郑东,范九伦.基于纠错码的数字签名技术综述[J].网络与信息安全学报,2016,2(11):1-10.
[13]DRAGOI V,KALACHI H T.Cryptanalysis of a public key encryption scheme based on QC-LDPC and QC-MDPC codes[J].IEEE Communications Letters,2017,PP(99):264-267.
[14]BALDI M.QC-LDPC Code-Based Cryptosystems[M]∥QC-LDPC Code-Based Cryptography.Springer International Publishing,2014:91-117.
[15]ZHANG X R,LI,J P,CAI C S.A Novel LLR-BP Algorithm for LDPC Codes Based on Taylor Series and Least Squares[J].Applied Mechanics & Materials,2014,462-463:193-197.
[16]REN F,ZHENG D,WANG W J.An Efficient Code Based Digi-tal Signature Algorithm[J].IJ Network Security,2017,19(6):1072-1079.
[17]FINIASZ M,SENDRIER N.SECUrity Bounds for the Design of Code-Based Cryptosystems[C]∥Advances in Cryptology- ASIACRYPT 2009,International Conference on the Theory and Application of Cryptology and Information Security.Tokyo:DBLP,2009:88-105.
[18]VAMBOL A,KHARCHENKO V,POTII O,et al.McEliece and Niederreiter Cryptosystems Analysis in the Context of Post-Quantum Network Security[C]∥International Conference on Mathematics & Computers in Sciences & in Industry.IEEE Computer Society,2017:134-137.
[19]STERN J.A method for finding codewords of small weight[C]∥ International Colloquium on Coding Theory and Applications.New York:Springer-Verlag,1989:106-113.
[20]HIROTOMO M,MOHRI M,MORII M.A probabilistic computation method for the weight distribution of low-density parity-check codes[C]∥International Symposium on Information Theo-ry.IEEE,2005:2166-2170.
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