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2019代數編碼系列報告之四——Hai Quang Dinh教授學術報告

發布時間：2019-07-26作者：訪問量：15

報告題目：Algebraic structures of skew constacyclic codes and their applications

人：Hai Quang Dinh 教授

報告時間：2019731號（周三）下午14:30

報告地點：磬苑校區數學科學學院H306

報告摘要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. Moreover, some generalizations and applications of the concept of skew constacyclic codes are explored.

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科學技術處

2019年7月26日

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