Abstract
Binary code negation and reversal are known to leave the autocorrelation sequence (ACS) unchanged. However, for some code lengths, there exist “shared-autocorrelation” code pairs for which the mechanism behind shared autocorrelation is not so simple. In this paper, exhaustive search is used to find representatives for all such code pairs for lengths 2 to 39. The resulting code pairs are used to discover code structures associated with the shared autocorrelation property. Some of the code pairs discovered exhibit either Golay skew-symmetry or are found to be Kronecker products of smaller shared-autocorrelation pairs. All four-code sets (or quads) for length $N\leq 36$ having the shared- $\rm ACS$ property were also found.
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