摘要
本文介绍了完全循环Hadamard矩阵、Barker序列和1维最佳2元阵列之间的等价关系,并指出目前出现的几种循环Hadamard猜想的“证明”的错误,表明了这一猜想至今仍未被解决.
In this paper,we present the close relationships among circulant IIadamard matrices,Barker sequences and one-dimensional perfect binary arrays,and also point out that two proofs of this conjecture in paper〔1〕,〔2〕are totally wrong,which indicates that this famous conjecture is still unproved.
基金
国家教委高校科技基金
关键词
循环哈达玛
哈达玛矩阵
矩阵论
Hadamard matrix
Barker sequence
circulant Hadamard matrix
onedimensional perfect binary array