On the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Bases
Sign Up to like & getrecommendations! Published in 2020 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-019-00424-5
Abstract: The DNA 4-bases are matched with the 256 elements of the finite ring $$R=F_{4}+uF_{4}+vF_{4}+uvF_{4}$$ R = F 4 + u F 4 + v F 4 + u v F 4 , where $$ u^{2}=u,v^{2}=v,uv=vu$$… read more here.
Keywords: reversibility problem; cyclic codes; problem dna; skew cyclic ... See more keywords
On $${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}[\xi ]$$-skew cyclic codes
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01580-3
Abstract: $${\mathbb {Z}}_2{\mathbb {Z}}_{4}$$ -additive codes have been defined as a subgroup of $${\mathbb {Z}}_2^{r}\times {\mathbb {Z}}_4^{s}$$ in [6] where $${\mathbb {Z}}_2$$ , $${\mathbb {Z}}_{4}$$ are the rings of integers modulo 2 and 4 respectively and… read more here.
Keywords: times mathbb; mathbb mathbb; cyclic codes; mathbb ... See more keywords
Skew cyclic codes over Fq + uFq + vFq
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557118500729
Abstract: In this paper, we study skew cyclic codes over the ring Fq + uFq + vFq, where u2 = u, v2 = v, uv = vu = 0, q = pm and p is a… read more here.
Keywords: codes ufq; skew cyclic; cyclic codes; ufq vfq ... See more keywords