Generalized weighing matrices and self-orthogonal codes
It is shown that the row spaces of certain generalized weighing matrices, Bhaskar Rao designs, and generalized Hadamard matrices over a finite field of order q are hermitian self-orthogonal codes. Certain matrices of minimum rank yield optimal codes. In the special case when q=4, the codes are linked to quantum error-correcting codes, including some codes with optimal parameters.
Generalized weighing matrices and self-orthogonal codes.
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