Reference : Small circulant complex Hadamard matrices of Butson type
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/22233
Small circulant complex Hadamard matrices of Butson type
English
Hiranandani, Gaurush [> >]
Schlenker, Jean-Marc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
2016
European Journal of Combinatorics
Academic Press
51
306–314
Yes (verified by ORBilu)
International
0195-6698
1095-9971
[en] We study the circulant complex Hadamard matrices of order nn whose entries are llth roots of unity. For n=ln=l prime we prove that the only such matrix, up to equivalence, is the Fourier matrix, while for n=p+q,l=pqn=p+q,l=pq with p,qp,q distinct primes there is no such matrix. We then provide a list of equivalence classes of such matrices, for small values of n,ln,l.
http://hdl.handle.net/10993/22233
http://arxiv.org/abs/1311.5390

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