Designing DNA codes from reversible self-dual codes over GF(4)
- 주제(키워드) Code over finite field of order 4 , Construction of DNA code , Fixed GC-contents , Reverse-complement constraint , Reversible self-dual code
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier B.V.
- 발행년도 2021
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000174836
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.disc.2020.112159
초록/요약
We present an explicit method for designing DNA codes from reversible self-dual codes over the finite field GF(4) of order 4. We use Euclidean reversible self-dual codes (Euclidean RSD codes for short) since they have some advantages in designing DNA codes; hence, in this work RSD codes mean Euclidean RSD codes. We first work on a construction method for reversible self-dual codes over GF(4), and we study their properties in the aspect of their connection to DNA codes. We then obtain an efficient and feasible algorithm for designing DNA codes from RSD codes over GF(4). We point out that our algorithm takes advantage of reversibility and self-duality of RSD codes over GF(4). Finally, we produce DNA codes up to length 42 using our method and discuss the GC-weight distributions of DNA codes. We obtain many new DNA codes with better parameters when compared to the previously known results, and we also improve the lower bounds on the maximum size of DNA codes of a fixed code length and dimension. © 2020 Elsevier B.V.
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