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

页码：306 / 314

页数：9

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