数苑经纬讲坛（61）：Dual-Containing Cyclic Codes over $GR(4,m)$ of Length $2^k$
来源：
发布时间：2025-12-15
报告时间：- 2025年12月16日（周二）下午14:30-15:30
- 报告地点：
- 国交三号楼C501教室
- 报告人：
- Youcef Maouche
- 报告人单位：
- 胡阿里·布迈丁科技大学
- 邀请人：
- 刘宏伟
- 摘要：
- In this presentation, we study dual-containing cyclic code of length $2^k$ over the Galois ring $GR(2,m)$. In particular, necessary and sufficient conditions for the existing of dual-containing codes are obtained. Using properties for Kronecker products of matrices of a specific type and column vectors of these matrices, we give a simple and efficient method to construct all these dual-containing cyclic codes precisely.
Youcef Maouche （胡阿里·布迈丁科技大学）
