The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring
Copyright policy )The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring
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 a≠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.
- King Abdul Aziz University Hospital Saudi Arabia
- Centrale Marseille France
- University of Hail Saudi Arabia
- University of the Philippines Open University Philippines
- University of the Philippines Diliman Philippines
[MATH.MATH-AC] Mathematics [math]/Commutative Algebra [math.AC], [MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], self-dual codes, QA1-939, non-unitary non-commutative rings, left self-dual codes, mass formula, Mathematics
[MATH.MATH-AC] Mathematics [math]/Commutative Algebra [math.AC], [MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], self-dual codes, QA1-939, non-unitary non-commutative rings, left self-dual codes, mass formula, Mathematics
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