The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring
Adel N. Alahmadi, Altaf Alshuhail, Patrick Solé · AIMS Mathematics · 2023
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 $, 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 $.