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EJC
2016

Small circulant complex Hadamard matrices of Butson type

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Small circulant complex Hadamard matrices of Butson type
We study the circulant complex Hadamard matrices of order n whose entries are l-th roots of unity. For n = l prime we prove that the only such matrix, up to equivalence, is the Fourier matrix, while for n = p + q, l = pq with p, q distinct primes there is no such matrix. We then provide a list of equivalence classes of such matrices, for small values of n, l.
Gaurush Hiranandani, Jean-Marc Schlenker
Added 02 Apr 2016
Updated 02 Apr 2016
Type Journal
Year 2016
Where EJC
Authors Gaurush Hiranandani, Jean-Marc Schlenker
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