Cyclic DNA codes over $$\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2$$F2+uF2+vF2+uvF2 and their applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-1046-3
Abstract: In this paper, we study the structure of cyclic DNA codes of arbitrary length over the ring $$R=\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2$$R=F2+uF2+vF2+uvF2, $$u^{2}=0, v^{2}=v, uv=vu$$u2=0,v2=v,uv=vu. By defining a Gray map, we establish a relation between… read more here.
Keywords: dna codes; mathbb uf2; mathbb mathbb; cyclic dna ... See more keywords