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arXiv · 2404.06768

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

Wajid M. Shaikh·Rupali S. Jain·B. Surendranath Reddy·Bhagyashri S. Patil·Sahar M. A. Maqbol
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Abstract

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.

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Wajid M. Shaikh, Rupali S. Jain, B. Surendranath Reddy, Bhagyashri S. Patil, Sahar M. A. Maqbol. 2024-04-10. A new approach to construct minimal linear codes over $\mathbb{F}_{3}$. https://arxiv.org/abs/2404.06768

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