New restrictions on possible orders of circulant Hadamard matrices
Leung, K.H. Schmidt, B.
Schmidt, B.
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Abstract
We obtain several new number theoretic results which improve the field descent method. We use these results to rule out many of the known open cases of the circulant Hadamard matrix conjecture. In particular, the only known open case of the Barker sequence conjecture is settled. © 2011 Springer Science+Business Media, LLC.
Keywords
Barker sequences, Circulant Hadamard matrices, Field descent
Source Title
Designs, Codes, and Cryptography
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Series/Report No.
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Date
2012-07
DOI
10.1007/s10623-011-9493-1
Type
Article