The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring
Copyright policy )The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring
<abstract><p>In this paper, we establish a mass formula for self-orthogonal codes, quasi self-dual codes, and self-dual codes over commutative non-unital rings $ {{\mathit {I}_p}} = \left < a, b | pa = pb = 0, a^2 = b, ab = 0 \right > $, where $ p $ is an odd prime. We also give a classification of the three said classes of codes over $ {{\mathit {I}_p}} $ where $ p = 3, 5, $ and $ 7 $, with lengths up to $ 3 $.</p></abstract>
- University of Hail Saudi Arabia
- Aix-Marseille University France
- King Abdulaziz University Saudi Arabia
- French National Centre for Scientific Research France
- Centrale Marseille France
[MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], self-dual codes, self-orthogonal codes, QA1-939, non-unitary rings, quasi self-dual codes, mass formula, Mathematics
[MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], self-dual codes, self-orthogonal codes, QA1-939, non-unitary rings, quasi self-dual codes, mass formula, Mathematics
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