The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring

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...

Full description

Bibliographic Details
Main Authors: Adel Alahmadi, Altaf Alshuhail, Patrick Solé
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231242?viewType=HTML