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- Title
The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring.
- Authors
Alahmadi, Adel; Alshuhail, Altaf; Betty, Rowena Alma; Galvez, Lucky; Solé, Patrick
- Abstract
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, E p = a , b | p a = p b = 0 , a 2 = a , b 2 = b , a b = a , b a = b , where a ≠ b and p is any odd prime. We also give a classification of self-orthogonal codes and self-dual codes over E p , where p = 3 , 5 , and 7, in short lengths.
- Subjects
NONCOMMUTATIVE rings; NONCOMMUTATIVE algebras; COMMUTATIVE rings
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 6, p862
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12060862