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Quaternary Golay Complementary Sequences Derived from Binary Golay Complementary Sequences

Fanxin Zeng, Xiaoping Zeng, Xiangyong Zeng, Zhenyu Zhang, Lingna Xiao, Guixin Xuan

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Abstract

Golay complementary sequences play quite an important role in communication and radar. In this paper, we present a family of quaternary Golay complementary sequences. The resultant sequences result from conversion of the existing binary Golay sequences, and both have the same length and number of subsequences. Our method can provide rich quaternary Golay complementary sequences due to a large number of binary Golay complementary sequences available.

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What this paper is about

Golay complementary sequences play quite an important role in communication and radar. In this paper, we present a family of quaternary Golay complementary sequences. The resultant sequences result from conversion of the existing binary Golay sequences, and both have the same length and number of subsequences. Our method can provide rich quaternary Golay complementary sequences due to a large number of binary Golay complementary sequences available.

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Available abstract

Golay complementary sequences play quite an important role in communication and radar. In this paper, we present a family of quaternary Golay complementary sequences. The resultant sequences result from conversion of the existing binary Golay sequences, and both have the same length and number of subsequences. Our method can provide rich quaternary Golay complementary sequences due to a large number of binary Golay complementary sequences available.

Key concepts: Binary Golay code, Complementary sequences, Binary number, Ternary Golay code, Mathematics, Algorithm, Combinatorics, Arithmetic

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