在超椭圆曲线上实现DSA数字签名
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摘要
本文首先介绍超椭圆曲线密码体制及数字签名的概念,并且讨论了在超椭圆曲线上实现DSA数字签名的方法,得出了超椭圆曲线上的DSA数字签名有较高的安全性的结论,并证明了它的可行性。
This article introduced the Hyper Elliptic Curve Cryptosystem and DSA digital signature. It discussed the method of DSA digital signature based on Hyper Elliptic Curve Cryptosystem,DSA digital signature based on Hyper Elliptic Curve Cryptosystem is safe and feasible.
This article introduced the Hyper Elliptic Curve Cryptosystem and DSA digital signature. It discussed the method of DSA digital signature based on Hyper Elliptic Curve Cryptosystem,DSA digital signature based on Hyper Elliptic Curve Cryptosystem is safe and feasible.
引文
[1]Reza Alimoradi.A Study of Hyperelliptic Curves in Cryptography[J].International Journal of Computer Network and Information Security(IJCNIS),2016,8(8).
[2]Iván Blanco-Chacón,Alberto F.Boix,Stiofáin Fordham,Emrah Sercan Yilmaz.Differential operators and hyperelliptic curves over finite fields[J].Finite Fields and Their Applications,2018,51.
[3]T.N.Shankar,G.Sahoo,S.Niranjan.Using the Digital Signature of a Fingerprint by an Elliptic Curve Cryptosystem for Enhanced Authentication[J].Information Security Journal:A Global Perspective,2012,21(5)
[4]肖如良.基于FPI的超椭圆曲线密码体制的研究《长沙理工大学硕士论文》2004-04-01
[5]Brian Lawrence.A density result for real hyperelliptic curves[J].Comptes rendus-Mathématique,2016,354(12).
[6]唐贤传,程鸿芳.基于门限的超椭圆曲线数字签名方案设计及应用[J].重庆科技学院学报(自然科学版),2016,18(03):104-106+128.
[7]杨青,辛小龙,李小光.改进的超椭圆曲线结构化多重盲签名[J].工程数学学报,2017,34(03):247-261.
[8]Marek Repka,Michal Varchola,Milo?Drutarovsky.Improving CPA Attack Against DSA and ECDSA[J].Journal of Electrical Engineering,2015,66(3).
[9]Gwoboa Horng.Accelerating DSA Signature Generation[J].Cryptologia,2015,39(2).
[10]Alaa D.Alrehily,Asmaa F.Alotaibi,Suzan B.Almutairy,Mashael S.Alqhtani,Jayaprakash Kar.Conventional and Improved Digital Signature Scheme:A Comparative Study[J].Journal of Information Security,2015,06(01).
[11]Konstantinos A.Draziotis.(EC)DSA lattice attacks based on Coppersmith's method[J].Information Processing Letters,2016,116(8).
[12]耿宏印.基于PKI数字签名在电子政务中的研究[D].华北水利水电大学,2018.
[2]Iván Blanco-Chacón,Alberto F.Boix,Stiofáin Fordham,Emrah Sercan Yilmaz.Differential operators and hyperelliptic curves over finite fields[J].Finite Fields and Their Applications,2018,51.
[3]T.N.Shankar,G.Sahoo,S.Niranjan.Using the Digital Signature of a Fingerprint by an Elliptic Curve Cryptosystem for Enhanced Authentication[J].Information Security Journal:A Global Perspective,2012,21(5)
[4]肖如良.基于FPI的超椭圆曲线密码体制的研究《长沙理工大学硕士论文》2004-04-01
[5]Brian Lawrence.A density result for real hyperelliptic curves[J].Comptes rendus-Mathématique,2016,354(12).
[6]唐贤传,程鸿芳.基于门限的超椭圆曲线数字签名方案设计及应用[J].重庆科技学院学报(自然科学版),2016,18(03):104-106+128.
[7]杨青,辛小龙,李小光.改进的超椭圆曲线结构化多重盲签名[J].工程数学学报,2017,34(03):247-261.
[8]Marek Repka,Michal Varchola,Milo?Drutarovsky.Improving CPA Attack Against DSA and ECDSA[J].Journal of Electrical Engineering,2015,66(3).
[9]Gwoboa Horng.Accelerating DSA Signature Generation[J].Cryptologia,2015,39(2).
[10]Alaa D.Alrehily,Asmaa F.Alotaibi,Suzan B.Almutairy,Mashael S.Alqhtani,Jayaprakash Kar.Conventional and Improved Digital Signature Scheme:A Comparative Study[J].Journal of Information Security,2015,06(01).
[11]Konstantinos A.Draziotis.(EC)DSA lattice attacks based on Coppersmith's method[J].Information Processing Letters,2016,116(8).
[12]耿宏印.基于PKI数字签名在电子政务中的研究[D].华北水利水电大学,2018.