A Family of Binary Sequences with 4-Valued Low Correlation and Large Linear Span

Wenfeng Jiang, Xiangyong Zeng, Lei Hu · Chinese Journal of Computers · 2009

For n≡0mod 4,based on d-form function,a new family of binary sequences with period 2n-1 and four-valued low correlation is proposed.The correlation distribution of the proposed family is completely determined.The linear spans of the new sequences are proved to be large and their exact values are also obtained.Compared with the known sequence families,the new family has not only low correlation,but also much larger linear spans.This family of sequences is suitable for cryptography and CDMA systems.

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