| Autor: |
Alahmadi, Adel, Alihia, Tamador, Solé, Patrick |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 7, p18278-18307, 30p |
| Abstrakt: |
The build-up method is a powerful class of propagation rules that generate self-dual codes over finite fields and unitary rings. Recently, it was extended to non-unitary rings of order four to generate quasi self-dual codes. In the present paper we introduce three such propagation rules to generate self-orthogonal, one-sided self-dual, and self-dual codes over a special non-unitary ring of order 9. As an application, we classify the three categories of codes in lengths at most 7, up to monomial equivalence. Mass formulas for the three classes of codes considered ensure that the classification is complete. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
