NFS reference
 

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 But I think that his section on NFS might be a bit outdated, and it doesn't really say how to do the sieving in practice.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.

[QUOTE=Jushi;85730]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 But I think that his section on NFS might be a bit outdated, and it doesn't really say how to do the sieving in practice.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.[/QUOTE]

See:

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

[QUOTE=Jushi;85730]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 But I think that his section on NFS might be a bit outdated, and it doesn't really say how to do the sieving in practice.[/QUOTE]

[url]http://groups.yahoo.com/group/nfs-hacks/message/1[/url]

Several of the introductory papers there have worked examples of NFS factorizations

jasonp