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A note on Behrend sequences

โœ Scribed by I. Z. Ruzsa; G. Tenenbaum


Publisher
Akadmiai Kiad
Year
1996
Tongue
English
Weight
437 KB
Volume
72
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.


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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.