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 Jushi 2006-08-28 09:39

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 But I think that his section on NFS might be a bit outdated, and it doesn't really say how to do the sieving in practice.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

 R.D. Silverman 2006-08-28 10:50

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 But I think that his section on NFS might be a bit outdated, and it doesn't really say how to do the sieving in practice.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

 jasonp 2006-08-28 12:07

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 But I think that his section on NFS might be a bit outdated, and it doesn't really say how to do the sieving in practice.[/QUOTE]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

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