Extending self-orthogonal codes
Alp Bassa, Nesrin Tutaş · TURKISH JOURNAL OF MATHEMATICS · 2019
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 $\mathbb F_q$.