Alp BASSA, Nesrin TUTAŞ

8196

Extending self-orthogonal codes

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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Alp BASSA, Nesrin TUTAŞ