65.84 RepetitionCode

RepetitionCode( n, F )

RepetitionCode returns the cyclic repetition code of length n over F. The code has as many elements as F, because each codeword consists of a repetition of one of these elements.

    gap> C := RepetitionCode( 3, GF(5) );
    a cyclic [3,1,3]2 repetition code over GF(5)
    gap> Elements( C );
    [ 0, x^2 + x + 1, 2x^2 + 2x + 2, 4x^2 + 4x + 4, 3x^2 + 3x + 3 ]
    gap> IsPerfectCode( C );
    false
    gap> IsMDSCode( C );
    true 

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