A new approach to construct minimal linear codes over \(\mathbb{F}_{3}\)

In this article, we present two new approaches to construct minimal linear codes of dimension \(n+1\) over \(\mathbb{F}_{3}\) 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...

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Authors: Shaikh, Wajid M, Jain, Rupali S, B Surendranath Reddy, Patil, Bhagyashri S, Maqbol, Sahar M A
Format: Article
Language:English
Online Access:Get full text
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Summary:In this article, we present two new approaches to construct minimal linear codes of dimension \(n+1\) over \(\mathbb{F}_{3}\) 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.
ISSN:2331-8422