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 ...
K. S. McCurley, The discrete logarithm problem,Cryptography and Computational Number Theory(C. Pomerance, ed.), Proc. Symp. Appl. Math., Amer. Math. Soc., 42 (1990) pp. 49–74. E. Manstavicius, Semigroup elements free of large prime factors,New Trends in Probability and Statistics, ...
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。
Breaking an ID-based encryption based on discrete logarithm and factorization problemsCryptographyCryptanalysisID-based encryptionDiscrete logarithm problemFactorization problemIdentity-based (ID-based) cryptography is very useful as it can simplify the certificate management in public key cryptosystem. Since ...
Given a cyclic group G with generator g, and given an element t in G, the discrete logarithm problem is that of computing an integer l with g l D t . The problem of computing discrete logarithms is fundamental in computational alge-bra, and of great importance in cryptography. In this ...
Cyclotomic polynomial used to construct finite field multiplicative group of subgroups, you can achieve high efficiency based on the discrete logarithm of public key cryptography, including public-key encryption schemes and digital signature scheme. 用最优正规基来表示域,并用域中乘法群之子群的生成元来...
Secure Outsourcing in Discrete-Logarithm-Based and Pairing-Based Cryptography (Invited Talk) Damien Vergnaud1,2(B) 1 CNRS, Laboratoire d'Informatique de Paris 6, Sorbonne Universit´e, LIP6, Paris, France damien.vergnaud@lip6.fr 2 Institut Universitaire de France, Paris, France Abstract. ...
public-key cryptographycomputational number theoryThe integer factorization problem (IFP), the finite field discrete logarithm problem (DLP) and the elliptic curve discrete logarithm problem (ECDLP) are essentially the only three mathematical problems that the practical public-key cryptographic systems are ...
1 Introduction The discrete logarithm problem (DLP) is the cornerstone of a large part of public- key cryptography. Multiplicative groups of finite fields were the first proposed groups for cryptography, meeting the requirements of fast arithmetic and a hard discrete logarithm problem. Since almost ...
Many DLP computation in prime fields are employe... L Liu,M Xu,G Zhou - IEEE International Conference on Cryptography 被引量: 0发表: 2021年 Discrete logarithm computation in a prime finite field of 180 decimal digits The discrete logarithm problem(DLP) is a hard mathematical problem and a ...