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What is Discrete Logarithm Problem in Cryptography about?

This document is a survey of the discrete logarithm problem, including the current state of algorithms for solving it, complexity issues related to the problem, and applications to cryptography. The discrete logarithm problem for a group G is to find an integer x such that gx = a, given g in G and a in the cyclic subgroup generated by g. The problem is used in cryptographic schemes like the Diffie-Hellman key exchange, where exponentiation modulo a prime p provides a one-way function that is easy to compute

Author

Trần Minh Khoa

Language

EN