Turkish Journal of Mathematics
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 $\mathbb F_q$.
DOI
10.3906/mat-1905-103
Keywords
Symmetric bilinear forms, self-dual codes, maximal isotropic subspaces
First Page
2177
Last Page
2182
Recommended Citation
BASSA, ALP and TUTAŞ, NESRİN
(2019)
"Extending self-orthogonal codes,"
Turkish Journal of Mathematics: Vol. 43:
No.
5, Article 9.
https://doi.org/10.3906/mat-1905-103
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss5/9
