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New Families of Binary Sequence Pairs With Two-Level and Three-Level Correlation

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3 Author(s)
Xiuping Peng ; College of Information Science and Engineering, Yanshan University, Qinhuangdao, China ; Chengqian Xu ; K. T. Arasu

A pair of binary sequences is generalized from the concept of a two-level autocorrelation function of a single binary sequence. In this paper, new families of binary sequence pairs with period N = np, where gcd(n,p) = 1, and optimal correlation values -1 are constructed, as well as new families of binary sequence pairs with three-level correlation and period N≡0(mod 4). For the new binary sequence pairs with optimal correlation values, their corresponding new difference set pairs and almost difference set pairs are also derived.

Published in:

IEEE Transactions on Information Theory  (Volume:58 ,  Issue: 11 )