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

Published 10 Apr 2024 in cs.IT, math.IT, and math.RA | (2404.06768v1)

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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