Proof of the Barker array conjecture

Davis, James; Jedwab, Jonathan; Smith, Ken

doi:10.1090/S0002-9939-07-08703-5

Proof of the Barker array conjecture
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by James A. Davis, Jonathan Jedwab and Ken W. Smith PDF

Proc. Amer. Math. Soc. 135 (2007), 2011-2018 Request permission

Abstract:

Using only elementary methods, we prove Alquaddoomi and Scholtz’s conjecture of 1989, that no $s \times t$ Barker array having $s, t > 1$ exists except when $s = t = 2$.

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