Dear Forum, On Monday 08 May 2006 10:18, Joachim Schittenhelm asked: > with given F=GF(q) and an irreducible polynomial f over F of degree n, > how can i create the field of polynomials over F of degree at most n-1 that > is isomorphic to GF(q^n).
The requested field of polynomial is isomorphic to an algebraic extension of the field. See the chapter "65 Algebraic extensions of fields" http://www.gap-system.org/Manuals/doc/htm/ref/CHAP065.htm of Gap reference manual. You can also create the field with q^n elements with the command GF(q^n); but this field may not be related to the given polynomial f. To use f you can use: GF(q^n, f); See "57.3 Creating Finite Fields" http://www.gap-system.org/Manuals/doc/htm/ref/CHAP057.htm#SECT003 For any remark concerning this mail, please do not reply to me, but write to [EMAIL PROTECTED] . Best regards, Marco Costantini _______________________________________________ Forum mailing list [email protected] http://mail.gap-system.org/mailman/listinfo/forum
