一些新的差族和几乎差族
Some New Difference Families and Almost Difference Families
DOI: 10.12677/AAM.2020.93055, PDF,    科研立项经费支持
作者: 刘永晴, 汤 静, 唐玲丽：大连民族大学理学院预科教育学院，辽宁 大连；孔庆欣, 陆俞先, 王天祎：大连民族大学计算机科学与工程学院，辽宁 大连
关键词: 差族；几乎差族；分圆类；分圆数；Difference Family； Almost Difference Family； Cyclotomic Classes； Cyclotomic Numbers
摘要: 差族和几乎差族的特征序列可以用来构造多分址码通信系统中的光正交码。另外，差族或几乎差族对应一种部分平衡不完全区块设计，在很多组合和统计问题中有重要应用。本文利用6阶分圆类构造了一些新的差族和几乎差族。
Abstract: The characteristic sequences of a kind of difference families (DFs) or almost difference families (ADFs) form optical orthogonal codes which have many applications in a code division multiple access communication system. Moreover, either a DF or ADF corresponds to a kind of partially balanced incomplete block designs which arise in many combinatorial and statistical problems. In this paper, we obtain some new DFs and ADFs by cyclotomic classes of order 6.
文章引用：刘永晴, 孔庆欣, 陆俞先, 汤静, 王天祎, 唐玲丽. 一些新的差族和几乎差族[J]. 应用数学进展, 2020, 9(3): 451-457. https://doi.org/10.12677/AAM.2020.93055

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