We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
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...
Abstract. We present an all-optical ring network architecture with logarithmic shortcuts and a systolic routing protocol for it. An r-dimensional optical ring network with logarith...
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....
Under the assumption that solving the discrete logarithm problem modulo an n-bit prime p is hard even when the exponent is a small c-bit number, we construct a new and improved pse...