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    DNA codes from skew dihedral group ring

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    Authors
    Dougherty, Steven
    Korban, Adrian
    Şahinkaya, Serap
    Ustun, Deniz
    Publication Date
    2022-09
    
    Metadata
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    Abstract
    In this work, we present a matrix construction for reversible codes derived from skew dihedral group rings. By employing this matrix construction, the ring {F}_{j, k} and its associated Gray maps, we show how one can construct reversible codes of length n2^{j+k} over the finite field {F}_4. As an application, we construct a number of DNA codes that satisfy the Hamming distance, the reverse, the reverse-complement, and the GC-content constraints with better parameters than some good DNA codes in the literature.
    Citation
    Advances in Mathematics of Communications, volume 0, issue 0, page 0
    Publisher
    American Institute of Mathematical Sciences (AIMS)
    URI
    http://hdl.handle.net/10034/627180
    Type
    article
    Description
    From Crossref journal articles via Jisc Publications Router
    Publication status: Published
    Collections
    Mathematics

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