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