Complex spherical codes with two inner products

被引：6

作者：

Nozaki, Hiroshi ^{[1
]}

Suda, Sho ^{[1
]}

机构：

[1] Aichi Univ Educ, Dept Math Educ, Kariya, Aichi 4488542, Japan

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2016年 / 51卷

关键词：

2-DISTANCE SETS; HADAMARD-MATRICES; EUCLIDEAN-SPACE; DESIGNS; CLASSIFICATION; BOUNDS;

D O I：

10.1016/j.ejc.2015.07.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A finite set X in a complex sphere is called a complex spherical 2-code if the number of inner products between two distinct vectors in X is equal to 2. In this paper, we characterize the tight complex spherical 2-codes by doubly regular tournaments or skew Hadamard matrices. We also give certain maximal 2-codes relating to skew-symmetric D-optimal designs. To prove them, we show the smallest embedding dimension of a tournament into a complex sphere by the multiplicity of the smallest or second-smallest eigenvalue of the Seidel matrix. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：511 / 518

页数：8

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