mirror of
https://github.com/octoleo/restic.git
synced 2024-11-24 05:37:37 +00:00
26 lines
739 B
Plaintext
26 lines
739 B
Plaintext
|
# This file is a script for GAP and tests a list of polynomials in hexadecimal
|
||
|
|
# for irreducibility over F_2
|
||
|
|
|
||
|
|
# create x over F_2 = GF(2)
|
||
|
|
x := Indeterminate(GF(2), "x");
|
||
|
|
|
||
|
|
# test if polynomial is irreducible, i.e. the number of factors is one
|
||
|
|
IrredPoly := function (poly)
|
||
|
|
return (Length(Factors(poly)) = 1);
|
||
|
|
end;;
|
||
|
|
|
||
|
|
# create a polynomial in x from the hexadecimal representation of the
|
||
|
|
# coefficients
|
||
|
|
Hex2Poly := function (s)
|
||
|
|
return ValuePol(CoefficientsQadic(IntHexString(s), 2), x);
|
||
|
|
end;;
|
||
|
|
|
||
|
|
# list of candidates, in hex
|
||
|
|
candidates := [ "3DA3358B4DC173" ];
|
||
|
|
|
||
|
|
# create real polynomials
|
||
|
|
L := List(candidates, Hex2Poly);
|
||
|
|
|
||
|
|
# filter and display the list of irreducible polynomials contained in L
|
||
|
|
Display(Filtered(L, x -> (IrredPoly(x))));
|