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2011•Journal of Wuhan UniversityRequires access

The Study of Complementary Difference Set Pairs and Complementary Binary Sequence

XU Cheng-qian

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Abstract

A direct design method of the complementary binary sequence is presented.A new block design(complementary difference set pairs) is defined,which is constructed based on the cyclotomic class.A new complementary binary sequence is given,taking advantage of the equivalence relation between difference set and sequence.Specially,any one of the new binary sequences has optimum balance among 0 and 1.The method proposed in this paper has wider existence space,which can satisfy the requirements of engineering applications.

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What this paper is about

A direct design method of the complementary binary sequence is presented.A new block design(complementary difference set pairs) is defined,which is constructed based on the cyclotomic class.A new complementary binary sequence is given,taking advantage of the equivalence relation between difference set and sequence.Specially,any one of the new binary sequences has optimum balance among 0 and 1.The method proposed in this paper has wider existence space,which can satisfy the requirements of engineering applications.

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Available abstract

A direct design method of the complementary binary sequence is presented.A new block design(complementary difference set pairs) is defined,which is constructed based on the cyclotomic class.A new complementary binary sequence is given,taking advantage of the equivalence relation between difference set and sequence.Specially,any one of the new binary sequences has optimum balance among 0 and 1.The method proposed in this paper has wider existence space,which can satisfy the requirements of engineering applications.

Key concepts: Sequence (biology), Binary number, Mathematics, Set (abstract data type), Equivalence (formal languages), Difference set, Pseudorandom binary sequence, Class (philosophy)

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