A new trace bilinear form on cyclic ${\mathbb{F}}_q$-linear ${\mathbb{F}}_{q^t}$-codes

Yun Gao, Tingting Wu, Fang-Wei Fu

Let ${\mathbb{F}}_q$ be a finite field of cardinality $q$, where $q$ is a power of a prime number $p$, $t\ge 2$ an even number satisfying $t\not\equiv 1(\mathrm{mod}p)$ and $\mathbb…