English

DNA codes over two noncommutative rings of order four

Information Theory 2021-05-17 v2 math.IT

Abstract

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

Keywords

Cite

@article{arxiv.2102.06981,
  title  = {DNA codes over two noncommutative rings of order four},
  author = {Jon-Lark Kim and Dong Eun Ohk},
  journal= {arXiv preprint arXiv:2102.06981},
  year   = {2021}
}

Comments

21 pages, 1st revision