Classification of Self-Orthogonal Codes over \boldmath$\F_3$ and \boldmath$\F_4$
Iliya Bouyukliev, Patric R. J. Östergård · SIAM Journal on Discrete Mathematics · 2005
Several methods for classifying self-orthogonal codes up to equivalence are presented. These methods are used to classify self-orthogonal codes with largest possible minimum distance over the fields $\mathbb{F}_3$ and $\mathbb{F}_4$ for lengths $n \leq 29$ and small dimensions (up to 6). Some properties of the classified codes are also presented. In particular, an extensive collection of quantum error-correcting codes is obtained.