Abstract
Array-designed codes are capable of correcting row and column deletions. In this paper, we introduce array-designed reversible and complementary codes over the finite field GF(4), which can correct row deletions and column deletions errors. Hence our codes can be useful for DNA codes. We also propose a construction method of array-designed reversible and complementary codes. As examples, we describe the tensor product of cyclic LCD codes and the tensor product of self-dual reversible codes over GF(4).
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The author W.-H. Choi is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (NRF-2022R1C1C2011689).
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Hagiwara, M., Choi, WH. & Kim, JL. Array-designed reversible and complementary codes over GF(4). AAECC (2023). https://doi.org/10.1007/s00200-023-00622-6
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DOI: https://doi.org/10.1007/s00200-023-00622-6