A new approach to construct minimal linear codes over $\mathbb{F}_{3}$
Information Theory
2024-05-24 v1 math.IT
Rings and Algebras
Abstract
In this article, we present two new approaches to construct minimal linear codes of dimension over using characteristic and ternary functions. We also obtain the weight distributions of these constructed minimal linear codes. We further show that a specific class of these codes violates Ashikhmin-Barg condition.
Cite
@article{arxiv.2404.06768,
title = {A new approach to construct minimal linear codes over $\mathbb{F}_{3}$},
author = {Wajid M. Shaikh and Rupali S. Jain and B. Surendranath Reddy and Bhagyashri S. Patil and Sahar M. A. Maqbol},
journal= {arXiv preprint arXiv:2404.06768},
year = {2024}
}