65.50 ElementsCode

ElementsCode( L [, Name ], F )

ElementsCode creates an unrestricted code of the list of elements L, in the field F. L must be a list of vectors, strings, polynomials or codewords. Name can contain a short description of the code.

If L contains a codeword more than once, it is removed from the list and a GAP set is returned.

    gap> M := Z(3)^0 * [ [1, 0, 1, 1], [2, 2, 0, 0], [0, 1, 2, 2] ];;
    gap> C := ElementsCode( M, "example code", GF(3) );
    a (4,3,1..4)2 example code over GF(3)
    gap> MinimumDistance( C );
    4
    gap> Elements( C );
    [ [ 1 0 1 1 ], [ 2 2 0 0 ], [ 0 1 2 2 ] ]
    gap> last = M;
    true    # Note that the elements are of codeword type 

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