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What is Discrete Logarithms and Cryptography Insights about?

This document discusses the importance of discrete logarithms in finite fields and their significance for cryptography. It surveys known algorithms for computing discrete logarithms, with a focus on analyzing the index-calculus algorithm and its improvements. The document finds that cryptosystems using fields like GF(2n) are insecure against these algorithms unless n is very large, around 800-1500. In contrast, fields GF(p) with large prime p, around 2000-10000, appear to offer relatively high security comp

Author

Изольда Тарасовна

Language

EN