Cocyclic Hadamard matrices and difference sets

de Launey W.; Horadam KJ.; Flannery DL.

首页> 外文期刊>Discrete Applied Mathematics >Cocyclic Hadamard matrices and difference sets

【24h】

Cocyclic Hadamard matrices and difference sets

机译：Cocyclic Hadamard矩阵和差分集

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper locates cocyclic Hadamard matrices within the mainstream of combinatorial design theory. We prove that the existence of a cocyclic Hadamard matrix of order 4t is equivalent to the existence of a normal relative difference set with parameters (4t,2,4t,2t). In the basic case we note there is a corresponding equivalence between coboundary Hadamard matrices and Menon-Hadamard difference sets. These equivalences unify and explain results in the theories of Hadamard groups, divisible designs with regular automorphism groups, and periodic autocorrelation functions. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 38]

机译：本文在组合设计理论的主流范围内找到了共循环Hadamard矩阵。我们证明，阶数为4t的同环Hadamard矩阵的存在等同于参数为（4t，2,4t，2t）的正态相对差集的存在。在基本情况下，我们注意到共边界Hadamard矩阵与Menon-Hadamard差集之间存在对应的等价关系。这些等价统一并解释了Hadamard群理论，具有规则自同构群的可分式设计以及周期性自相关函数的结果。（C）2000 Elsevier Science B.V.保留所有权利。 [参考：38]

著录项

来源
《Discrete Applied Mathematics》 |2000年第2期|共15页
作者
de Launey W.; Horadam KJ.; Flannery DL.;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类离散数学;
关键词

相似文献

外文文献
中文文献
专利

1. Cocyclic orthogonal designs and the asymptotic existence of cocyclic Hadamard matrices and maximal size relative difference sets with forbidden subgroup of size 2 [J] . de Launey W., Smith MJ. Journal of Combinatorial Theory, Series A . 2001,第1期

机译：带有2个子集的最大子群的Cocyclic Hadamard矩阵和最大尺寸相对差集的同周期正交设计和渐近性
2. Relative Difference Sets and Hadamard Matrices from Perfect Quaternionic Arrays [J] . Santiago Barrera Acevedo, Heiko Dietrich Mathematics in computer science . 2018,第4期

机译：来自完美四元数阵列的相对差异集和Hadamard矩阵
3. Relative Difference Sets and Hadamard Matrices from Perfect Quaternionic Arrays [J] . Santiago Barrera Acevedo, Heiko Dietrich Mathematics in computer science . 2018,第4期

机译：来自完美四元数阵列的相对差异集和Hadamard矩阵
4. Characteristic Functions of Relative Difference Sets, Correlated Sequences and Hadamard Matrices [C] . Garry Hughes Applied Algebra, Algebraic Algorithms and Error-Correcting Codes . 1999

机译：相对差集，相关序列和Hadamard矩阵的特征函数
5. Hadamard difference sets in groups with high exponents. [D] . Webster, Jordan D. 2009

机译：Hadamard差异集具有高指数的组。
6. Finding Hadamard Matrices by a Quantum Annealing Machine [O] . Andriyan Bayu Suksmono, Yuichiro Minato -1

机译：用量子退火机寻找Hadamard矩阵
7. Cocyclic Orthogonal Designs and the Asymptotic Existence of Cocyclic Hadamard Matrices and Maximal Size Relative Difference Sets with Forbidden Subgroup of Size 2 [O] . de Launey Warwick, Smith Michael J. 2001

机译：尺寸为2的禁止子群的同周期正交设计以及同周期Hadamard矩阵和最大尺寸相对差集的渐近存在

Cocyclic Hadamard matrices and difference sets

摘要

著录项

相似文献

相关主题

期刊订阅