Hoffstein and Silverman suggested the use of low Hamming weight product (LHWP) exponents to accelerate group exponentiation while maintaining the security level. With LHWP exponent...
The discrete logarithm problem asks to solve for the exponent x, given the generator g of a cyclic group G and an element h ∈ G such that gx = h. We give the first rigorous pro...
The paper analyzes CFVZ, a new public key cryptosystem whose security is based on a matrix version of the discrete logarithm problem over an elliptic curve. It is shown that the co...
This paper describes an implementation of Pollard’s rho algorithm to compute the elliptic curve discrete logarithm for the Synergistic Processor Elements of the Cell Broadband En...
Joppe W. Bos, Thorsten Kleinjung, Ruben Niederhage...
In 1994, Harn proposed a signature scheme based on the modified ElGamal's scheme and claimed that the security relies on both of the factorization and the discrete logarithm....