DNA CODES FROM SKEW DIHEDRAL GROUP RING

被引：1

作者：

Dougherty, Steven ^{[1
]}

Korban, Adrian ^{[2
]}

Sahinkaya, Serap ^{[3
]}

Ustun, Deniz ^{[4
]}

机构：

[1] Univ Scranton, Dept Phys Math & Engn Sci, Scranton, PA 18510 USA

[2] Univ Chester, Dept Phys Math & Engn Sci, Chester, Cheshire, England

[3] Tarsus Univ, Fac Engn, Dept Nat & Math Sci, Mersin, Turkiye

[4] Tarsus Univ, Fac Engn, Dept Comp Engn, Mersin, Turkiye

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年 / 18卷 / 04期

关键词：

Group rings; skew group rings; DNA codes; linear codes; dihedral codes; G-codes; CONSTANT GC-CONTENT; MOLECULAR COMPUTATION; HAMMING DISTANCE; CONSTRUCTIONS; STORAGE;

D O I：

10.3934/amc.2022076

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this work, we present a matrix construction for reversible codes derived from skew dihedral group rings. By employing this matrix construction, the ring Fj,k and its associated Gray maps, we show how one can construct reversible codes of length n(2j+k) over the finite field F-4. As an application, we construct a number of DNA codes that satisfy the Hamming distance, the reverse, the reverse-complement, and the GC-content constraints with better parameters than some good DNA codes in the literature.

引用

页码：1138 / 1154

页数：17