However, the computational complexity and hardware resources of an Elliptic Curve processing unit are very high and depend on the efficient design of the Elliptic Curve's underlined GF(2~k) Field. In this paper, we propose an EC arithmetic unit that is structured over a high peformance, low ...
The various elliptic curves used in ellitpic curve cryptography (ECC) have different properties, and we’ve looked at several of them before. For example,Curve25519is implemented very efficiently, and the parameters were transparently chosen.Curve1174is interesting because it’s an Edwards curve and...
ScottVanstone.Thestateofelliptic curve cryptography[J1.Designs,codes andcryptography,2000,19:173-193. 蹦李湛.～秘改进鹣髓嚣藏线密码实理算法pj.电予科技,2004,7:31—33.f3l卢歼澄.计算帆密码学:计舞机两络中鹃数据保密与安全fMl.j℃京:清华大学辩版社,1998,【4】VolkerMuller.Fastmultiplication on ...
2 Elliptic Curve Cryptography 1 Arithmetic Primitives 1.1 Modular Arithmetic Primer p 1.2 Addition and Subtraction When adding two integers i and j of bitlength b, the result will be of bitlength b + 1 in the worst case. This means they can easily be naively added. If the result is ...
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...
Frequency Domain Finite Field Arithmetic for Elliptic Curve Cryptography Efficient implementation of the number theoretic transform(NTT), also known as the discrete Fourier transform(DFT) over a finite field, has been studied actively for decades and found many applications in digital signal processing....
The Arithmetic of Elliptic Curves The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats t... Silverman - Springer-Verlag 被引量: 8420发表: 2011年 Use of Elliptic Curves in Cryptography We ...
These include Lenstra's factorization algorithm, Schoof's point counting algorithm, Miller's algorithm to compute the Tate and Weil pairings, and a description of aspects of elliptic curve cryptography. There is also a new section on Szpiro's conjecture and ABC, as well as expanded and updated...
Arithmetic Operators for Pairing-Based Cryptography," Cryptographic Hardware and Embedded Since their introduction in constructive cryptographic applications, pairings over (hyper)elliptic curves are at the heart of an ever increasing number of ... J Beuchat,N Brisebarre,J Detrey,... 被引量: 77发表...
Elliptic Curve Cryptography (ECC) is a relatively recent branch of cryptography based on the arithmetic of elliptic curves and the Elliptic Curve Discrete Logarithm Problem (ECDLP). Elliptic curve cryptographic schemes are public-key mechanisms that provide encryption, digital signature and key exchange ...