Small circulant complex Hadamard matrices of Butson type

被引：6
|
作者：
Hiranandani, Gaurush [1 ]
Schlenker, Jean-Marc [2 ]
机构：
[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
[2] Univ Luxembourg, Math Res Unit, BLG, L-1359 Luxembourg, Luxembourg
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2016年 / 51卷
关键词：
D O I：
10.1016/j.ejc.2015.05.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the circulant complex Hadamard matrices of order n whose entries are ith 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. (C) 2015 Published by Elsevier Ltd.
引用
收藏
页码：306 / 314
页数：9
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