Linear codes with few weights over ${\mathbb{F}}_2+u{\mathbb{F}}_2$

Minjia Shi, Liqin Qian, Patrick Sole

In this paper, we construct an infinite family of five-weight codes from trace codes over the ring $R={\mathbb{F}}_2+u{\mathbb{F}}_2$, where $u^2=0.$ The trace codes have the algebraic…