Number Field Sieve with Provable Complexity
Number Theory
2020-07-14 v2
Abstract
In this thesis we give an in-depth introduction to the General Number Field Sieve, as it was used by Buhler, Lenstra, and Pomerance, before looking at one of the modern developments of this algorithm: A randomized version with provable complexity. This version was posited in 2017 by Lee and Venkatesan and will be preceded by ample material from both algebraic and analytic number theory, Galois theory, and probability theory.
Cite
@article{arxiv.2007.02689,
title = {Number Field Sieve with Provable Complexity},
author = {Barry van Leeuwen},
journal= {arXiv preprint arXiv:2007.02689},
year = {2020}
}
Comments
MSc Thesis, 113 pages, 1 table