报告题目:Skew constacyclic codes over finite fields and finite commutative chain rings
报 告 人: Hai Quang Dinh教授(美国肯特州立大学)
报告时间: 1月14日 (周四)下午 16:00-17:00
报告地点: 4号楼4318室
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数学学院
2016年01月11日
报告摘要:
We discuss the foundation and properties of skew $/Theta$-$/lambda$-constacyclic codes over finite fields and finite commutative chain rings for any unit $/lambda$ and automorphism $/Theta$ that fixes $/lambda$. As in the situation of classical constacyclic codes, the dual of a skew constacyclic code is in turn a skew constacyclic code. The algebraic structure, generator and parity-check matrices of skew $/Theta$-$/lambda$-constacyclic codes and their duals are presented. Among other results, we also consider the self-dual skew constacyclic codes,and skew constacyclic codes with complementary duals.