华中师范大学学报(自然科学版)2001,Vol.35Issue(2):132-135,4.
补差集与Hadamard矩阵
Supplementary difference sets and Hadamard matrices
摘要
Abstract
In this article we obtain 2s-{q2;q(q-1)/2;2s-2q(q-2)} supplementary difference sets(SDSs) for q=2s+1k+2s-1(s≥2), q is a prime power, prove that there exist Hadamard matrices of order 2tq2 for t≥s. Let q be any odd number. We prove that there exists a s=s(q) so that there is an Hadamard matrix of order 2tq for t≥s.关键词
Abelian群/特征标/φ函数/补差集/Hadamard矩阵分类
数理科学引用本文复制引用
娄联堂,夏明远,左国新..补差集与Hadamard矩阵[J].华中师范大学学报(自然科学版),2001,35(2):132-135,4.基金项目
国家自然科学基金资助项目(19571031).国家自然科学基金资助项目(19571031). (19571031)