pierrick.gaudry at loria.fr
Sat Feb 3 11:21:24 CET 2018
>From an old README file I have somewhere in an old directory:
Factor base file format:
An entry is of the form:
In the (frequent) case where n1,n2=1,0 this can be abridged with:
Here, q is a irreducible or a irreducible power, ri are the corresponding
roots and the contribution that must be subtracted at these positions is
(n1-n2)*degree(p) (assuming smaller powers of this irreducible have
alredy been taken care of). By position, we mean (a,b) such that a -
b*ri = 0 mod q.
The roots ri must be sorted in lexicographical order. If a root ri is
greater or equal to q, it means that this is a projective root:
subtracting q gives a root for the reciprocal polynomial (or
equivalently, (1:(ri-q)) is the projective root).
It is allowed to have several lines with the same q, but there must be
only one line for a given (q,n1,n2) triple.
Hopefully this is still valid in the version you are using.
On Sat, Feb 03, 2018 at 01:50:46PM +0530, Pankaj Charpe wrote:
> In factor base construction of cado-nfs we have this entry,
> Factor Base format: q:n1,n2:r1,r2,r3
> Can you please explain me what is these n1 and n2 ?. I will be very
> thankful to you.
> Thanks & Regards
> Pankaj charpe
> Cado-nfs-discuss mailing list
> Cado-nfs-discuss at lists.gforge.inria.fr
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