• Title/Summary/Keyword: m-adic residue codes

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m-ADIC RESIDUE CODES OVER Fq[v]/(v2 - v) AND DNA CODES

  • Kuruz, Ferhat;Oztas, Elif Segah;Siap, Irfan
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.921-935
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    • 2018
  • In this study we determine the structure of m-adic residue codes over the non-chain ring $F_q[v]/(v^2-v)$ and present some promising examples of such codes that have optimal parameters with respect to Griesmer Bound. Further, we show that the generators of m-adic residue codes serve as a natural and suitable application for generating reversible DNA codes via a special automorphism and sets over $F_{4^{2k}}[v]/(v^2-v)$.