65.181 IsAlmostAffineCode

IsAlmostAffineCode( code )

IsAlmostAffineCode returns true if code is an almost affine code. A code is called em almost affine if the size of any punctured code of code is q^r for some r, where q is the size of the alphabet of the code. Every affine code is also almost affine, and every code over GF(2) and GF(3) that is almost affine is also affine.

    gap> code := ElementsCode( [ [0,0,0], [0,1,1], [0,2,2], [0,3,3],
    >                             [1,0,1], [1,1,0], [1,2,3], [1,3,2],
    >                             [2,0,2], [2,1,3], [2,2,0], [2,3,1],
    >                             [3,0,3], [3,1,2], [3,2,1], [3,3,0] ],
    >                             GF(4) );;
    gap> IsAlmostAffineCode( code );
    true 
    gap> IsAlmostAffineCode( NordstromRobinsonCode() );
    false 

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