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Article Dans Une Revue Mathematics Année : 2024

The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring

Adel Alahmadi
Altaf Alshuhail
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Rowena Alma Betty
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Lucky Galvez
Patrick Solé

Résumé

In this paper, we derive a mass formula for the self-orthogonal codes and self-dual codes over a non-commutative non-unitary ring, namely, Ep = a, b | pa = pb = 0, a2 = a, b2 = b, ab = a, ba = b , where a̸ = b and p is any odd prime. We also give a classification of self-orthogonal codes and self-dual codes over Ep, where p = 3, 5, and 7, in short lengths.
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hal-04505889 , version 1 (15-03-2024)

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Adel Alahmadi, Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez, Patrick Solé. The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring. Mathematics , 2024, 12, pp.862. ⟨10.3390/math12060862⟩. ⟨hal-04505889⟩
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