Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application

초록

Kim and Ohk (2022) showed that binary self-orthogonal [n, k] codes for various dimensions k can be useful for the construction of DNA codes based on quasi selfdual codes over a noncommutative nonunital ring E with four elements. However, there is few classification of binary self-orthogonal codes with dimension >= 6. In this paper, we complete the classification of binary self-orthogonal codes of lengths from 16 to 20 with dimension >= 6. Hence, our classification extends a result of Kim and Ohk (2022).

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