Quote:
Originally Posted by Jushi
Hello, does anyone of you know a good reference about the workings of the Number Field Sieve? I know more or less the mathematical background from Henri Cohen's "A course in computational algebraic number theory". But I think that his section on NFS might be a bit outdated, and it doesn't really say how to do the sieving in practice. For example, on this forum there were discussions about line sievers versus lattice sievers, and I have no idea what this means. Thanks in advance.

See:
Lenstra & Lenstra (eds)
The development of the number field sieve
Springer Verlag LNM #1554