Abstract
Nonperiodic autocorrelation functions of integer sequences have been studied in connection with Hadamard matrices and combinatorial designs. Here we study conditions under which distinct (+1,−1) sequences have the same nonperiodic autocorrelation function. These conditions involve the Hadamard (tensor) product of sequences and the concatenation of sequences. Generating functions for the non-periodic autocorrelation functions are used to prove the main results of this paper.
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