1. Optimal Parameterization of SNFS
- Author
-
Robert D. Silverman
- Subjects
Mathematical optimization ,gnfs ,number field sieve ,Applied Mathematics ,snfs ,Computer Science Applications ,General number field sieve ,Computational Mathematics ,Factoring ,parameter selection ,factoring ,QA1-939 ,Applied mathematics ,Mathematics - Abstract
The Special Number Field Sieve factoring algorithm has a large number of parametric choices, each of which can affect its run time. We give guidelines for these choices along with a discussion of useful coding optimizations. We also give a theoretical argument which proves that the choice of sieving region that has been used so far in successful factorizations is not optimal and show how to obtain an improved sieve region. The improvement has yielded a 15% speed increase in practice.
- Published
- 2007