New few weight codes from trace codes over a local Ring

Shi Minjia, Qian Liqin, Sole Patrick

In this paper, new few weights linear codes over the local ring $R={\mathbb{F}}_p+u{\mathbb{F}}_p+v{\mathbb{F}}_p+uv{\mathbb{F}}_p,$ with $u^2=v^2=0,uv=vu,$ are constructed by using the t…