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 codes violates Ashikhmin-Barg condition.