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arXiv · 1801.08664

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

Shidong Zhang·Tongjiang Yan
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Abstract

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.

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Shidong Zhang, Tongjiang Yan. 2018-01-26. Linear Complexity and Autocorrelation of two Classes of New Interleaved Sequences of Period $2N$. https://arxiv.org/abs/1801.08664

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