Array-designed reversible and complementary codes over GF(4)

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초록

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).

키워드

Deletion error; Array-designed codes; DNA codes; Error-correcting codes; LCD codes
제목
Array-designed reversible and complementary codes over GF(4)
저자
Hagiwara, Manabu; Choi, Whan-Hyuk; Kim, Jon-Lark
DOI
10.1007/s00200-023-00622-6
발행일
2025-05
유형
Article
저널명
Applicable Algebra in Engineering, Communications and Computing
권
36
호
3
페이지
503 ~ 519