A family of constacyclic codes over ${\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}$ and its application to quantum codes

Yongsheng Tang, Ting Yao, Shixin Zhu +1

We introduce a Gray map from ${\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}$ to ${\mathbb{F}}_2^{2m}$ and study $(1+u)$-constacyclic codes over ${\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m},$ w…