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[The genetic code and cyclic codes].

J Demongeot, J Besson

    Comptes Rendus Des Seances De L'Academie Des Sciences. Serie III, Sciences De La Vie
    |January 1, 1983
    PubMed
    Summary
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    The genetic code

    Area of Science:

    • Genetics
    • Coding Theory
    • Bioinformatics

    Context:

    • The genetic code's structure is analyzed through the lens of coding theory.
    • Previous research has explored various models for the genetic code's evolution and properties.

    Purpose:

    • To investigate the genetic code as a degenerate form of a minimal cyclic code.
    • To establish the relationship between this minimal cyclic code and the cyclic code of 64 triplets.
    • To compare the minimal code with a code derived from a binary cyclic code.

    Summary:

    • This study presents the genetic code as a degeneration of a minimal cyclic code.
    • The maximal chain of this minimal code is identified and analyzed.
    • Relationships are explored between the minimal cyclic code, the 64-triplet cyclic code, and a binary cyclic code.

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    Impact:

    • Provides a novel perspective on the genetic code's mathematical underpinnings.
    • Offers insights into the evolutionary pathways and structural constraints of the genetic code.
    • Contributes to the understanding of coding theory applications in biological systems.