报告主题：On $\sigma$-self-orthogonal codes over finite rings
报告人：刘宏伟 教授 （华中师范大学）
报告时间：2019年11月29日（周五）15:00
报告地点：校本部G508
邀请人：丁洋 副教授
主办部门：理学院数学系
摘要：In this talk, we generalize the notion of self-orthogonal codes to $\sigma$-self-orthogonal codes over an arbitrary finite ring. Then, we study the $\sigma$-self-orthogonality of constacyclic codes of length $p^s$ over the finite commutative chain ring $F_{p^m} + uF_{p^m}, where $u^2 = 0$ and $\sigam$ is an arbitrary ring automorphism of $F_{p^m}+uF_{p^m}$. We characterize the structure of $\sigama$-dual code of a $\lambda$-constacyclic code of length $p^s$ over $F_{p^m} +uF_{p^m}. Further, the necessary and sufficient conditions for a $\lambda$-constacyclic code to be $\sigama$-self-orthogonal are provided. In particular, we determine all $\sigma$-self-dual constacyclic codes of length $p^s$ over $F_{p^m} +uF_{p^m}$.
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