NEW CONSTRUCTIONS OF MENON DIFFERENCE SETS

被引：17

作者：

ARASU, KT

DAVIS, JA

JEDWAB, J

SEHGAL, SK

机构：

[1] UNIV RICHMOND, RICHMOND, VA 23173 USA

[2] HEWLETT PACKARD CORP, BRISTOL BS12 6QZ, AVON, ENGLAND

[3] OHIO STATE UNIV, COLUMBUS, OH 43210 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1993年 / 64卷 / 02期

关键词：

D O I：

10.1016/0097-3165(93)90101-D

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Menon difference sets have parameters (4N2, 2N2 - N, N2 - N). These have been constructed for N = 2a3b, 0 ≤ a,b, but the only known constructions in abelian groups require that the Sylow 3-subgroup be elementary abelian (there are some nonabelian examples). This paper provides a construction of difference sets in higher exponent groups, and this provides new examples of perfect binary arrays. © 1993.

引用

页码：329 / 336

页数：8

共 12 条

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Beth T, 1986, DESIGN THEORY

[2] SUMMARY OF PERFECT SXT ARRAYS, 1-LESS-THAN-OR-EQUAL-TO-S-LESS-THAN-OR-EQUAL-TO-T-LESS-THAN-OR-EQUAL-TO-100 [J].