Asymmetric cipher protocol using conjugacy and discrete logarithm problem

Key Agreement Protocol (KAP) Using Conjugacy and Discrete Logarithm Problems in Group Representation Level

The key agreement protocol based on infinite non-commutative group presentation and representation levels is proposed. Two simultaneous problems in group representation level are used: the conjugator search problem (CSP) and modified discrete logarithm problem (DLP). The modified DLP in our approach is a matrix DLP and is different from that’s used in other publications. The algorithm construct...

The new protocol blind digital signature based on the discrete logarithm problem on elliptic curve

In recent years it has been trying that with regard to the question of computational complexity of discrete logarithm more strength and less in the elliptic curve than other hard issues, applications such as elliptic curve cryptography, a blind  digital signature method, other methods such as encryption replacement DLP. In this paper, a new blind digital signature scheme based on elliptic curve...

Generalized Jacobian and Discrete Logarithm Problem on Elliptic Curves

Let E be an elliptic curve over the finite field F_{q}, P a point in E(F_{q}) of order n, and Q a point in the group generated by P. The discrete logarithm problem on E is to find the number k such that Q = kP. In this paper we reduce the discrete logarithm problem on E[n] to the discrete logarithm on the group F*_{q} , the multiplicative group of nonzero elements of Fq, in the case where n | q...

Blind Collective Signature Protocol Based on Discrete Logarithm Problem

Using Schnorr’s digital signature (DS) scheme as the underlying scheme there is designed the collective DS protocol. In the proposed collective DS protocol the signature is formed simultaneously by all signers, therefore using this protocol leads to natural solution of the problem of signing simultaneously a contract. Using the proposed collective DS protocol the blind collective DS protocol ha...

Problem 3 : The Discrete Logarithm