The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on an ...

A hybrid cryptographic system providing digital authentication is described and analyzed in this paper. The proposed cryptosystem incorporates three features: complexity of the discrete logarithm ...

Used algorithms for prime generation/check (Fermat's test and Miler Rabin's test) to implement discrete logarithm (BSGS), and inverse and exponentiation (Extended Euclid's algorithm). Refer to ...

Abstract: This paper introduces three new public key algorithms . The main one-way trapdoor functions of these algorithms are the double discrete logarithm problem (DDLP) and the integer factorization ...

In mathematics, for given real numbers a and b, the logarithm log_b(a) is a number x such that b^x = a. Analogously, in any group G, powers b^k can be defined for all integers k, and the discrete ...

Abstract: The paper is devoted to the special key management algorithm for the stream ciphers defined in via finite automata corresponding to the family of directed algebraic graphs of high girth and ...

ABSTRACT: A hybrid cryptographic system providing digital authentication is described and analyzed in this paper. The proposed cryptosystem incorporates three features: complexity of the discrete ...