journal article Sep 09, 2013

Hadamard Matrices Modulo 5

Journal of Combinatorial Designs Vol. 22 No. 4 pp. 171-178 · Wiley
View at Publisher Save 10.1002/jcd.21369
Abstract
AbstractIn this paper, we introduce modular symmetric designs and use them to study the existence of Hadamard matrices modulo 5. We prove that there exist 5‐modular Hadamard matrices of order n if and only if or . In particular, this solves the 5‐modular version of the Hadamard conjecture.
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References
19
[7]
Kolountzakis M. N. "Complex Hadamard matrices and the spectral set conjecture" Collectanea Mathematica (2006)
[17]
Ruzsa I. Z. "Solving a linear equation in a set of integers I" Acta Arith LXV. (1993) 10.4064/aa-65-3-259-282
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Details
Published
Sep 09, 2013
Vol/Issue
22(4)
Pages
171-178
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Cite This Article
Moon Ho Lee, Ferenc Szöllősi (2013). Hadamard Matrices Modulo 5. Journal of Combinatorial Designs, 22(4), 171-178. https://doi.org/10.1002/jcd.21369
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