New Families of Binary Sequence Pairs With Two-Level and Three-Level Correlation
Document Type
Article
Publication Date
2012
Abstract
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.
Repository Citation
Peng, X.,
Xu, C.,
& Arasu, K. T.
(2012). New Families of Binary Sequence Pairs With Two-Level and Three-Level Correlation. IEEE Transactions on Information Theory, 58 (11), 6968-6978.
https://corescholar.libraries.wright.edu/math/546
DOI
10.1109/TIT.2012.2210025
