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Binary sequences of length n = 2 m - 1 whose autocorrelation function is either 1 or -1/n have been known for a long time, and are called pseudo-random (or PN) sequences, or maximal-length shift-register sequences. Two-dimensional arrays of area n = 2 lm - 1 with the same property have rcently been found by several authors. This paper gives a simple description of such sequences and arrays and their many nice properties.
MacWilliams et al. (Thu,) studied this question.