Linear Complexity and Autocorrelation of two Classes of New Interleaved Sequences of Period 2N

01/26/2018

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by   Shidong Zhang, et al.

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The autocorrelation and the linear complexity of a key stream sequence in a stream cipher are important cryptographic properties. Many sequences with these good properties have interleaved structure, three classes of binary sequences of period 4N with optimal autocorrelation values have been constructed by Tang and Gong based on interleaving certain kinds of sequences of period N. In this paper, we use the interleaving technique to construct a binary sequence with the optimal autocorrelation of period 2N, then we calculate its autocorrelation values and its distribution, and give a lower bound of linear complexity. Results show that these sequences have low autocorrelation and the linear complexity satisfies the requirements of cryptography.