DNA codes over two noncommutative rings of order four

In this paper, we describe a new type of DNA codes over two noncommutative rings E and F of order four with characteristic 2. Our DNA codes are based on quasi self-dual codes over E and F . Using quasi self-duality, we can describe fixed GC-content constraint weight distributions and reverse-complem...

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 68; no. 3; pp. 2015 - 2038
Main Authors Kim, Jon-Lark, Ohk, Dong Eun
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022
Springer Nature B.V
Subjects
Applied mathematics
Computational Mathematics and Numerical Analysis
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Theory of Computation
Coding theory
Quasi-self dual codes
Primary 94B05
DNA codes
Rings
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Summary:In this paper, we describe a new type of DNA codes over two noncommutative rings E and F of order four with characteristic 2. Our DNA codes are based on quasi self-dual codes over E and F . Using quasi self-duality, we can describe fixed GC-content constraint weight distributions and reverse-complement constraint minimum distributions of those codes.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-021-01598-7