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Dear gap forum

----- Forwarded message from Ken W. Smith -----

Dear Forum,

I've been using GAP to create incidence matrices of combinatorial

designs. (An incidence matrix M has entries which are 0 and 1 and so the

matrix may be viewed as existing over *any* field.) I would now like to

examine the codes generated by these matrices, that is, I would like to

examine the row space of the matrix M over a field of prime order. I'd

like to find bases for the row space.

How do I do this? A first step, I assume, is to row reduce the

matrix M mod p, but I can't seem to find the right commands.

Thanks in advance,

Ken

Ken W. Smith, Professor of Mathematics, Central Michigan University

----- Forwarded message from Ken W. Smith -----

The Guava command

C:= GeneratorMatCode( M, <F> ), F = GF(p),

will create a code record with M as the generator matrix.

The information you require is contained in this record.

The weight enumerator and other properties of C can then be computed.

Yours

Chris Charnes

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