Extending self-orthogonal codes
Authors : Alp Bassa, Nesrin Tutaş
Pages : 2177-2182
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this short note we give an exact count for the number of self-dual codes over a finite field $\mathbb F_q$ of odd characteristic containing a given self-orthogonal code. This generalizes an analogous result of MacWilliams, Sloane, and Thompson over the field $\mathbb F_2$ to arbitrary odd finite fields $\mathbb F_q$.Keywords : Symmetric bilinear forms, self-dual codes, maximal isotropic subspaces