差集和差集偶理论的轨道规律  

Research on the Orbit Discipline of Difference Set and Difference Set Pairs

作　　者：贾彦国[1] 纪永峰[1] 任富争[1] 许成谦[1] 

机构地区：[1]燕山大学信息科学与工程学院,秦皇岛066004

出　　处：《北京邮电大学学报》2011年第4期47-50,共4页Journal of Beijing University of Posts and Telecommunications

基　　金：国家自然科学基金项目(60872061;60971126);河北省教育厅科学研究计划项目(2008151)

摘　　要：关于差集或差集偶的乘子定理和乘子猜想,可以通过轨道的方法判定差集或差集偶的不存在性.通过对素数p在v阶Abel群G上所生成的轨道规律的研究,提出了阶数v是单个素数和2个素数乘积形式的轨道长度和轨道数的规律,并证明了其正确性.利用这种规律可快速判断出特定参数的差集或差集偶的不存在性.According to difference set and difference set pairs multiplier theorem and multiplier conjecture, the method by on-orbit can determine the non-existence of difference set and difference set pairs. The orbit created by prime p in Abelian group G by order v is discussed. Two kinds of orbit discipline are presented and proved. The one is order described by only one prime number, another is order described by the product of two prime numbers. Non-existence of difference set or difference set pairs with the specific parameters is determined.

关 键 词：差集 差集偶 乘子定理 乘子猜想 轨道 

分 类 号：TN911.22[电子电信—通信与信息系统]