New DNA Codes from Cyclic Codes over Mixed Alphabets
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DOI: 10.3390/math8111977
Abstract: Let R=F4+uF4,withu2=u and S=F4+uF4+vF4,withu2=u,v2=v,uv=vu=0. In this paper, we study F4RS-cyclic codes of block length (α,β,γ) and construct cyclic DNA codes from them. F4RS-cyclic codes can be viewed as S[x]-submodules of Fq[x]⟨xα−1⟩×R[x]⟨xβ−1⟩×S[x]⟨xγ−1⟩. We discuss their generator… read more here.
Keywords: dna; dna codes; cyclic codes; cyclic dna ... See more keywords