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Families of sequences with optimal Hamming-correlation properties

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2 Author(s)

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.

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Information Theory, IEEE Transactions on  (Volume:20 ,  Issue: 1 )