Security Estimates for Quadratic Field Based Cryptosystems
Cryptography and Security
2010-05-20 v1
Abstract
We describe implementations for solving the discrete logarithm problem in the class group of an imaginary quadratic field and in the infrastructure of a real quadratic field. The algorithms used incorporate improvements over previously-used algorithms, and extensive numerical results are presented demonstrating their efficiency. This data is used as the basis for extrapolations, used to provide recommendations for parameter sizes providing approximately the same level of security as block ciphers with and -bit symmetric keys.
Cite
@article{arxiv.1004.5512,
title = {Security Estimates for Quadratic Field Based Cryptosystems},
author = {Jean-François Biasse and Jacobson John Michael and Silverster K. Alan},
journal= {arXiv preprint arXiv:1004.5512},
year = {2010}
}