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, A, & TUTAŞ, N (2019). Extending self-orthogonal codes. Turkish Journal of Mathematics 43 (5): 2177-2182. https://doi.org/10.3906/mat-1905-103

Download