Southwest Jiaotong University School of Mathematics


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报告地点: X7503(代数编码研讨室)


Title:  New method to design Golay complementary set by paraunitary matrix and its Boolean function.

Abstract: Golay complementary sequences were well studied by Boolean-function generator. Recently, we proposed a new paraunitary-matrix-based construction to generate polyphase Golay complementary sets, in which produces a large number of new Golay complementary set not reported by Boolean-function generator. However, the relationship between the Boolean-function-based construction and paraunitary-matrix-based construction is still unknown. In this talk, I will bridge the sequences constructed by these two methods. Moreover, explicit Boolean representations of Golay complementary sets constructed by Wang and Budisin are derived by the summation of the Boolean functions which is determined by Hadamard matrix involved in the paraunitary-matrix-based construction. It is surprising that the new Boolean function also occur as cosets of the first-order Reed–Muller code. This proposed method can also be used to study complete complementary codes.

Bio: Dr Zilong Wang is a Professor in Xidian University, and he is the dean the department of information security. He received the B.S. degree from Nankai University, China, in 2005, and the Ph.D. degree from Peking University, China, in 2010, both in Mathematics. During 2008-2009, he was a visiting Ph.D. student in the Dept. of Electrical and Computer Engineering, University of Waterloo, Canada. He received a Postdoctoral Fellowship from University of Waterloo in 2012. Since 2010, he has been with the State Key Laboratory of Integrated

Service Networks, Xidian University. He is currently the dean the department of information security, school of Cyber Engineering, Xidian University. His research interests are in the areas of sequence design, cryptography and information security.

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