65.41 CodeIsomorphism

CodeIsomorphism( C_1, C_2 )

If the two codes C_1 and C_2 are equivalent codes (see IsEquivalent), CodeIsomorphism returns the permutation that transforms C_1 into C_2. If the codes are not equivalent, it returns false.

    gap> H := GeneratorPolCode([1,1,0,1]*Z(2), 7, GF(2));
    a cyclic [7,4,1..3]1 code defined by generator polynomial over GF(2)
    gap> CodeIsomorphism(H, HammingCode(3, GF(2)));
    (3,4)(5,6,7)
    gap> PermutedCode(H, (3,4)(5,6,7)) = HammingCode(3, GF(2));
    true 

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