Quasi self-dual DNA codes over various rings of order four
- 주제(키워드) Coding theory , DNA codes , Quasi-self dual codes , codes over rings
- 발행기관 서강대학교 일반대학원
- 지도교수 김종락
- 발행년도 2021
- 학위수여년월 2021. 2
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- UCI I804:11029-000000065794
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권보호를 받습니다.
초록/요약
DNA codes based on error-correcting codes have been successful in DNA-based computation and storage. Since there are four nucleobases in DNA, two well known algebraic structures such as the finite field GF4 and the integer modular ring Z4 have been used. However, due to various possibilities of DNA sequences, it is natural to ask whether there are other algebraic structures consisting of four elements. In this thesis, we describe a new type of DNA codes over various rings of order four. Our DNA codes are based on quasi self-dual codes. Using quasi self-duality, we can describe fixed GC-content constraint weight distributions and reverse-complement constraint minimum distributions of those codes.
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