@article{Alahmadi2023, 
author = {Adel Alahmadi and Altaf Alshuhail and Patrick Solé},
title = {The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {24367-24378},
keywords = {non-unitary rings, self-dual codes, self-orthogonal codes, quasi self-dual codes, mass formula},
url = {https://www.sciopen.com/article/10.3934/math.20231242},
doi = {10.3934/math.20231242},
abstract = {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                                I                p              =      ⟨          a      ,      b              |            p      a      =      p      b      =      0      ,              a        2            =      b      ,      a      b      =      0        ⟩  , where    p is an odd prime. We also give a classification of the three said classes of codes over                                I                p             where    p  =  3  ,  5  , and    7, with lengths up to    3.}
}