MAXIMAL SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES .2.

被引：6

作者：

EVANS, AB ^{[1
]}

机构：

[1] WRIGHT STATE UNIV,DEPT MATH & STAT,DAYTON,OH 45435

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 1992年 / 13卷 / 05期

关键词：

D O I：

10.1016/S0195-6698(05)80013-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One problem of interest in the study of Latin squares is that of determining parameter pairs (n, r) for which there exists a maximal set of r mutually orthogonal Latin squares of order n. In this paper we prove the existence of maximal sets of (p - 3)/2 mutually orthogonal Latin squares of order p, p ≥ 7 a prime congruent to 3 modulo 4, and of maximal sets of (p - 1)/2 mutually orthogonal Latin squares of order p, p > 7 a prime congruent to 1 modulo 4. © 1992 Academic Press Limited.

引用

页码：345 / 350

页数：6

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