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#############################################################################
##
#W polyfinf.gd GAP Library Frank Celler
#W & Alexander Hulpke
##
#H @(#)$Id: polyfinf.gd,v 4.2 2002/04/15 10:05:13 sal Exp $
##
#Y (C) 1999 School Math and Comp. Sci., University of St. Andrews, Scotland
#Y Copyright (C) 2002 The GAP Group
##
## This file contains functions for polynomials over finite fields
##
Revision.polyfinf_gd :=
"@(#)$Id: polyfinf.gd,v 4.2 2002/04/15 10:05:13 sal Exp $";
#############################################################################
##
#F FactorsCommonDegreePol( <R>, <f>, <d> ) . . . . . . . . . . . . . factors
##
## <f> must be a square free product of irreducible factors of degree <d>
## and leading coefficient 1. <R> must be a polynomial ring over a finite
## field of size p^k.
##
DeclareGlobalFunction("FactorsCommonDegreePol");
#############################################################################
##
#F RootsRepresentativeFFPol( <R>, <f>, <n> )
##
## returns a <n>-th root of the finite field polynomial <f>.
DeclareGlobalFunction("RootsRepresentativeFFPol");
#############################################################################
##
#F OrderKnownDividendList( <l>, <pp> ) . . . . . . . . . . . . . . . . local
##
## Computes an integer n such that OnSets( <l>, n ) contains only one
## element e. <pp> must be a list of prime powers of an integer d such that
## n divides d. The functions returns the integer n and the element e.
##
DeclareGlobalFunction("OrderKnownDividendList");
#############################################################################
##
#F FFPOrderKnownDividend( <R>, <g>, <f>, <pp> ) . . . . . . . . . . . local
##
## Computes an integer n such that <g>^n = const mod <f> where <g> and <f>
## are polynomials in <R> and <pp> is list of prime powers of an integer d
## such that n divides d. The functions returns the integer n and the
## element const.
DeclareGlobalFunction("FFPOrderKnownDividend");
DeclareGlobalFunction("FFPFactors");
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