The Dual and the Gray Image of Codes over ${\mathbb{F}}_q+v{\mathbb{F}}_q+v^2{\mathbb{F}}_q$

A. Melakheso, K. Guenda

In this paper, we study the linear codes over the commutative ring $R=\F_{q}+v\F_{q}+v^{2}\F_{q}$ and their Gray images, where $v^3=v$. We define the Lee weight of the elements o…