GENERALIZATIONS OF BOSE EQUIVALENCE BETWEEN COMPLETE-SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES AND AFFINE PLANES

被引：12

作者：

LAYWINE, CF ^{[1
]}

MULLEN, GL ^{[1
]}

机构：

[1] PENN STATE UNIV,DEPT MATH,UNIV PK,PA 16802

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1992年 / 61卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0097-3165(92)90050-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using affine resolvable designs and complete sets of mutually orthogonal frequency squares and hypercubes, we provide several generalizations of Bose's equivalence between affine planes of order n and complete sets of mutually orthogonal latin squares of order n. We also characterize those complete sets of orthogonal frequency squares and hypercubes which are equivalent to affine geometries. © 1992.

引用

页码：13 / 35

页数：23

共 37 条

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OWENS, PJ
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1992, 59 (02) : 240 - 252
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LAYWINE, C
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DISCRETE MATHEMATICS, 1999, 194 (1-3) : 87 - 94
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Francetic, Nevena
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JOURNAL OF COMBINATORIAL THEORY SERIES A, 2018, 155 : 67 - 99
[7] ON EQUIVALENCE OF RESOLVABLE KIRKMAN STEINER TRIPLE SYSTEMS AND SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES
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ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (03): : 1140 - &
[8] SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES WITH LIKE SUBSQUARES
ROBERTS, CE
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1992, 61 (01) : 50 - 63
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[10] Sets of partially orthogonal latin squares and projective planes
Keedwell, AD
Mullen, GL
DISCRETE MATHEMATICS, 2004, 288 (1-3) : 49 - 60

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