Partitioned difference families and almost difference sets

被引：6

作者：

Wang, Xin ^{[1
]}

Wang, Jinhua ^{[1
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2011年 / 141卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Partitioned difference families (PDFs); Difference sets; Almost difference sets; Difference systems of sets (DSSs); Cyclotomic classes; SYSTEMS; CONSTRUCTIONS;

D O I：

10.1016/j.jspi.2010.12.002

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Partitioned difference families (PDFs) were first studied by Ding and Yin in conjunction with the construction of constant composition codes (CCCs). In 2008, Yin et al. presented the constructions of a number of infinite classes of PDFs based on known difference sets in GF(q). In this paper, we further investigate the constructions of PDFs by using known almost difference sets in GF(q), and establish some recursive constructions of PDFs. As their applications, we also get a number of perfect difference systems of sets (DSSs) over Z(q2) with q odd prime. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1899 / 1909

页数：11

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