2023
DOI: 10.21203/rs.3.rs-2966940/v1
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DNA Images of Codes Over F4t [u]/<uk>

Tugce Sezer,
Ergün Yaraneri

Abstract: The aim of this paper is to study DNA codes using some Gray images of codes over the chain rings S = F4t [u]<uk > and R = F4[v]⁄<vtk>. The special cases t=1 and k=2,3 were studied before. We construct some nice Gray maps from R, S to DNA codewords, whose images satisfy complement and reversibility properties. Studying the general case allows us to construct codes with better parameters. Subsequently, we concentrate on codes over arbitrary commutative rings and cyclic codes over R and obtain some ne… Show more

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