CONSTRUCTIONS OF PARTIAL DIFFERENCE SETS AND RELATIVE DIFFERENCE SETS ON P-GROUPS

被引：38

作者：

LEUNG, KH

MA, SL

机构：

[1] Department of Mathematics, National University of Singapore

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1990年 / 22卷

关键词：

D O I：

10.1112/blms/22.6.533

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using some finite local rings, we construct some new partial difference sets and relative difference sets on p-groups where p is any prime. When p = 2, some of the partial difference sets constructed are reversible difference sets which include Dillon's difference sets.

引用

页码：533 / 539

页数：7

共 50 条

[1] PARTIAL DIFFERENCE SETS IN P-GROUPS
DAVIS, JA
[J]. ARCHIV DER MATHEMATIK, 1994, 63 (02) : 103 - 110
[2] CONSTRUCTION OF RELATIVE DIFFERENCE SETS IN P-GROUPS
DAVIS, JA
[J]. DISCRETE MATHEMATICS, 1992, 103 (01) : 7 - 15
[3] New partial difference sets in p-groups
Hou, XD
[J]. JOURNAL OF COMBINATORIAL DESIGNS, 2002, 10 (06) : 394 - 402
[4] AN EXPONENT BOUND FOR RELATIVE DIFFERENCE SETS IN P-GROUPS
DAVIS, JA
[J]. ARS COMBINATORIA, 1992, 34 : 318 - 320
[5] Paley type partial difference sets in non p-groups
Polhill, John
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2009, 52 (02) : 163 - 169
[6] Paley type partial difference sets in non p-groups
John Polhill
[J]. Designs, Codes and Cryptography, 2009, 52 : 163 - 169
[7] Partial difference sets with Denniston parameters in elementary abelian p-groups
[J]. Bao, Jingjun (baojingjun@hotmail.com), 2025, 101
[8] Constructions of partial difference sets and relative difference sets using Galois rings .2.
Chen, YQ
RayChaudhuri, DK
Xiang, Q
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1996, 76 (02) : 179 - 196
[9] Generalizations of partial difference sets from cyclotomy to nonelementary Abelian p-groups
Polhill, John
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2008, 15 (01):
[10] Rings and constructions of partial difference sets
Hou, XD
[J]. DISCRETE MATHEMATICS, 2003, 270 (1-3) : 149 - 176

← 1 2 3 4 5 →