Researchers have solved one aspect of the discrete logarithm problem. This is considered to be one of the 'holy grails' of algorithmic number theory, on which the security of many cryptographic ...

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 ...

Solving a key's discrete logarithm problem is significant in the Diffie-Hellman arena. Why? Because a handful of primes are frequently standardized and used by a large number of applications.

New crypto-cracking record reached, with less help than usual from Moore’s Law 795-bit factoring and discrete logarithms achieved using more efficient algorithms.

What if, for one reason or another, factoring the products of large primes and/or determining the discrete logarithm of a random elliptic curve element became something which could be done quickly ...

Bhaswar B. Bhattacharya, COLLISION TIMES IN MULTICOLOR URN MODELS AND SEQUENTIAL GRAPH COLORING WITH APPLICATIONS TO DISCRETE LOGARITHMS, The Annals of Applied Probability, Vol. 26, No. 6 (December ...

Operations on elliptic curves The security of ECC depends on the difficulty of the Elliptic Curve Discrete Logarithm Problem. This problem is defined as follows: let and be two points on an elliptic ...

The discrete logarithm problem involves modular arithmetic (numbers wrap around, as in a clock, where hours run from 0 to 11 and back to 0 again – this is written as “mod 12”). Given three very large ...