Small circulant complex Hadamard matrices of Butson type

Reference : Small circulant complex Hadamard matrices of Butson type


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/22233

Title :	Small circulant complex Hadamard matrices of Butson type
Language :	English
Author, co-author :	Hiranandani, Gaurush [> >]
	Schlenker, Jean-Marc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Publication date :	2016
Journal title :	European Journal of Combinatorics
Publisher :	Academic Press
Volume :	51
Pages :	306–314
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0195-6698
e-ISSN :	1095-9971
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/22233
Other URL :	http://arxiv.org/abs/1311.5390

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