for an intruder to break into the system. In ECC a 160 bits key, provides the same security as RSA 1024 bits key, thus lower computer power is required. The advantage of elliptic curve cryptosystems is the absence of subexponential time algorithms, for attack. Elliptic Curves belong to a ...
出版社: 大连理工大学出版社 ISBN:9787561161760 版次:1 商品编码:10825688 包装:平装 丛书名: 走向数学丛书 外文名称:Elliptic Curves 开本:32开 出版时间:2011-05-01 页数:125 正文语种:中文椭圆曲线 [Elliptic Curves] epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024 ...
ECC(Elliptic Curves Cryptography,椭圆曲线加密)是一种公开密钥算法。1985年,Neal Koblitz和Victor Miller分别独立提出了ECC。ECC是目前最具发展和应用潜力的公钥密码,其数学基础是椭圆曲线离散对数问题(ECDLP)。 一、从平行线谈起 平行线,永不相交。没有人怀疑把:)不过到了近代这个结论遭到了质疑。平行线会不会在很...
Elliptic curves and cryptography. In Public-Key Cryptog- raphy, volume 62 of Proc. Sympos. Appl. Math., pages 91-112. Amer. Math. Soc., Providence, RI, 2005.Hoffstein J, Pipher JC, Silverman JH. Elliptic curves and cryptography. An Introduction to Mathematical Cryptography. New York: ...
(1.Shenzhen CityEmployeesInstituteofContinuingEducation,Shenzhen 512029,China; 2.DepartmentofMathematics,NorthwestUniversity,Xi’an 710069,China) Abstract:In1980s,thetheoryofellipticcurvewasintroducedintothefieldofdatacryptography,whichformed newpublickeycryptographsystem,thatiseHipticcurves a cryptography(ECC)....
[论文学习] Peter Novotney: Weak Curves In Elliptic Curve Cryptography 摘要 本文介绍了Pohlig-Hellman attack 和 Smart's attack,并讨论了推荐的 NIST 曲线是如何抵御这种攻击的。 1. Elliptic Curves 椭圆曲线的通用定义形式为 E(F)={x,y∈F2:y2+a1xy+a3y=x3+a2x2+a4x+a6}∪{O}...
Elliptic Curve Cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. The use of elliptic curves in cryptography was suggested independently by Neal Koblitz and Victor S. Miller in1985. Elliptic curves are also used in ...
We implement elliptic curve cryptography on the MSP430 which is a commonly used microcontroller in wireless sensor network nodes. We use the number theoretic transform to perform finite field multiplication and squaring as required in elliptic curve scal
The Elliptic Curve Cryptography (ECC) is modern family of public-key cryptosystems, which is based on the algebraic structures of the elliptic curves over finite fields and on the difficulty of the Elliptic Curve Discrete Logarithm Problem (ECDLP). ECC implements all major capabilities of the asymm...
摘要: We discuss the use of elliptic curves in cryptography. In particular, we propose an analogue of the Diffie-Hellmann key exchange protocol which appears to be immune from attacks of the style of Wester会议名称: Advances in Cryptology - CRYPTO '85, Santa Barbara, California, USA, August ...