The Linear Complexity of a Class of Binary Sequences with Three-Level Autocorrelation
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概要
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Binary sequences with good autocorrelation and large linear complexity have found many applications in communication systems. A construction of almost difference sets was given by Cai and Ding in 2009. Many classes of binary sequences with three-level autocorrelation could be obtained by this construction and the linear complexity of two classes of binary sequences from the construction have been determined by Wang in 2010. Inspired by the analysis of Wang, we deternime the linear complexity and the minimal polynomials of another class of binary sequences, i.e., the class based on the WG difference set, from the construction by Cai and Ding. Furthermore, a generalized version of the construction by Cai and Ding is also presented.
著者
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Yan Tongjiang
College Of Mathematics And Computational Science China University Of Petroleum
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LI Hui
State Key Laboratory of Genetic Engineering and MOE Key Laboratory of Contemporary Anthropology, School of Life Sciences, Fudan University
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SUN Yuhua
State Key Laboratory of Integrated Service Networks, Xidian University
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LI Hui
State Key Laboratory of Integrated Service Networks, Xidian University
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LI Hui
State Key Laboratory of Genetic Engineering and MOE Key Laboratory of Contemporary Anthropology, School of Life Sciences and Department of History, Fudan University
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