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

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Abstract

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

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Correspondence to Minjia Shi.

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This research is supported by National Natural Science Foundation of China (12071001).

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Shi, M., Liu, N. & Kim, JL. Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application. J. Appl. Math. Comput. 69, 1173–1203 (2023). https://doi.org/10.1007/s12190-022-01785-0

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