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25 lines
739 B
Text
25 lines
739 B
Text
# This file is a script for GAP and tests a list of polynomials in hexadecimal
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# for irreducibility over F_2
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# create x over F_2 = GF(2)
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x := Indeterminate(GF(2), "x");
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# test if polynomial is irreducible, i.e. the number of factors is one
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IrredPoly := function (poly)
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return (Length(Factors(poly)) = 1);
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end;;
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# create a polynomial in x from the hexadecimal representation of the
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# coefficients
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Hex2Poly := function (s)
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return ValuePol(CoefficientsQadic(IntHexString(s), 2), x);
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end;;
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# list of candidates, in hex
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candidates := [ "3DA3358B4DC173" ];
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# create real polynomials
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L := List(candidates, Hex2Poly);
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# filter and display the list of irreducible polynomials contained in L
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Display(Filtered(L, x -> (IrredPoly(x))));
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