But even when this is true from a mathematical point of view, side channel attacks could be used to reveal information about the key.In this thesis, we study the difficulty of the discrete logarithm problem when partial information about the key is revealed by side channel attacks and double ...
From the introduction: The discrete logarithm problem in finite groups is one of the supposedly difficult problems at the foundation of asymmetric or public key cryptography. The first cryptosystems based on discrete logarithms were implemented in the multiplicative groups of finite fields, in which ...
Computer Science - Cryptography and SecurityThe discrete logarithm in a finite group of large order has been widely applied in public key cryptosystem. In this paper, we will present a probabilistic algorithm for discrete logarithm.doi:10.48550/arXiv.0712.1400An-Ping Li...
There is a class of public-key cryptosystems that use the discrete logarithm problem for key generation and encryption/decryption. The El Gamal Cryptosystem p is a prime number chosen so that the Discrete Logarithm problem is infeasible in (Zp*, *). α is a generator in Zp*. β is ...
Thediscrete logarithmis just the inverse operation. 这个问题就是著名的离散对数问题 。 ParaCrawl Corpus Currently, one of the most famous alternatives to RSA is a cryptosystem based ondiscrete logarithms. Modern use of cryptography 现在来说,除了RSA外,其中一个还可选择的最有名的体系是基于离散算法的。
modn),bysolvingx=logαβ(modn). TheProblem Computingαx=βforagivenxissimpleandefficientusingthesquare-andmultiplyalgorithmforexponentiation.Computinga=logαβisdifficultandcanconsumealargeamountoftimeandmemoryforlargevalues,suchasthoseusedincryptography. ...
1.Public-Key Cryptography Based on Elliptic Curve Discrete Logarithm Problem;基于椭圆曲线离散对数问题的公钥密码 2.Both of their security are based on the intractability of elliptic curve discrete logarithm problem.两种方案的安全性都是基于椭圆曲线离散对数问题的难解性。 3.Based on the elliptic curve ...
K.S. McCurley, The discrete logarithm problem, Cryptography and Computational Number Theory, (C.Pomerance, ed.), vol. 42, Proc.Symp. Appl. Math., Amer. Math. Soc., 1990, pp. 49-74.McCurley K S. The Discrete Logarithm Problem[A].New York:AMS Press,1990.49-74....
This problem is especially important in cryptography, since it underlies many cryptographic algorithms, such as public key exchange. Modern discrete logarithm algorithms have very high computational power, which allows these algorithms to be used in practice.Let’s look at the process of recovering a...
Elliptic Curve Irreducible Polynomial References L. M. Adleman. A subexponential algorithm for the discrete logarithm problem with applicationsto cryptography. In Author information Authors and Affiliations Laboratoire d’Informatique (LIX), École polytechnique, 91128, Palaiseau Cedex, France ...