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A note on Behrend sequences

✍ Scribed by I. Z. Ruzsa; G. Tenenbaum

Publisher: Akadmiai Kiad
Year: 1996
Tongue: English
Weight: 437 KB
Volume: 72
Category: Article
ISSN: 1588-2632
DOI: 10.1007/bf00114546

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A Barker sequence is a sequence with elements +1 such that all out-of-phase aperiodic autocorrelation coefficients are 0, 1 or -1. It is known that ifa Barker sequence of length s > 13 exists then s = 4N 2 for some odd integer N \_> 55, and it has long been conjectured that no such sequence exists.