Families of sequences with optimal Hamming-correlation properties

Authors:
A. Lempel;H. Greenberger
Affiliations:
-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

The unnormalized Hamming correlation between two sequences of equal length is the number of positions in which these sequences have identical symbols. In this paper, lower bounds on the out-of-phase autocorrelation and on the cross correlation of sequences of given length and alphabet size are derived. A method of constructing families of sequences that uniformly realize these hounds is presented.