MAXIMAL SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES .1.

被引：4

作者：

EVANS, AB ^{[1
]}

机构：

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

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 1991年 / 12卷 / 06期

关键词：

D O I：

10.1016/S0195-6698(13)80098-4

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 find new such parameter pairs by constructing maximal sets of mutually orthogonal latin squares using difference matrices. In the process we generalize known non-existence results for complete mappings, strong complete mappings and Knut Vic designs. © 1991, Academic Press Limited. All rights reserved.

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页码：477 / 482

页数：6

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