GNFS polynomial selection

2011-04-15, 18:40

Which articles were used in the implementation of polynomial selection in Msieve?

jasonp · 2011-04-15, 19:09

There are three main sources for polynomial selection: Brian Murphy's PhD dissertation 'Polynomial Selection for the Number Field Sieve Factoring Algorithm', Thorsten Kleinjung's 2006 Math Comp. paper (now available here for free), and the main one, Thorsten's slides from the 2008 CADO Factoring Workshop (available here)

2011-04-16, 12:32

Thank you. And what about Bernstein score and it's relationship with Murphy score?

PS. Sorry for my English...

jasonp · 2011-04-16, 14:24

That was entirely found by experiment.

2011-04-15, 18:40	#1
Unregistered 10001101010₂ Posts	GNFS polynomial selection Which articles were used in the implementation of polynomial selection in Msieve?

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2011-04-15, 19:09	#2
jasonp Tribal Bullet Oct 2004 3²×5×79 Posts	There are three main sources for polynomial selection: Brian Murphy's PhD dissertation 'Polynomial Selection for the Number Field Sieve Factoring Algorithm', Thorsten Kleinjung's 2006 Math Comp. paper (now available here for free), and the main one, Thorsten's slides from the 2008 CADO Factoring Workshop (available here)

2011-04-16, 12:32	#3
Unregistered 1111101111000₂ Posts	Thank you. And what about Bernstein score and it's relationship with Murphy score? PS. Sorry for my English...

2011-04-16, 14:24	#4
jasonp Tribal Bullet Oct 2004 DE3₁₆ Posts	That was entirely found by experiment.