New quantum codes from dual-containing cyclic codes over finite rings

Yongsheng Tang, Shixin Zhu, Xiaoshan Kai +1

Let $R={\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}+\cdots +u^k{\mathbb{F}}_{2^m}$ , where ${\mathbb{F}}_{2^m}$ is a finite field with $2^m$ elements, $m$ is a positive integer, $u$ i…