Department of Mathematics


Title : Some algorithms for integer factorisation
Speaker: Shi Bai
Affiliation: University of Auckland
Time: 14:00 Tuesday, 19 March, 2013
Location: 303-412
Abstract
Public-key cryptosystems such as RSA are based on the the presumed hardness of factoring large integers and hence algorithms for factoring integers are of practical importance. In this talk we describe the number field sieve, the most efficient algorithm known for factoring large integers. The number field sieve consists of several stages, the first one being polynomial selection. The running time of subsequent stages depends on the quality of the chosen polynomials in polynomial selection. In this talk, we will describe some methods to choose good polynomials in the number field sieve.


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