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Quasi self-dual codes over non-unital rings of order six

    1. [1] King Abdulaziz University

      King Abdulaziz University

      Arabia Saudí

    2. [2] Umm al-Qura University

      Umm al-Qura University

      Arabia Saudí

    3. [3] Aix-Marseille University

      Aix-Marseille University

      Arrondissement de Marseille, Francia

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. Extra 4, 2020 (Ejemplar dedicado a: Special Issue: Mathematical Computation in Combinatorics and Graph Theory; i), págs. 1083-1095
  • Idioma: inglés
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  • Resumen
    • There exist two semi-local rings of order 6 without identity for the multiplication. We classify up to coordinate permutation self-orthogonal codes of length n and size 6n/2 over these rings (called here quasi self-dual codes or QSD) till the length n = 8. To any such code is attached canonically a ?6-code, which, when self-dual, produces an unimodular lattice by Construction A.


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