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

[31] COMPLETE-SETS OF MUTUALLY ORTHOGONAL FREQUENCY RECTANGLE DESIGNS HAVING TWICE A PRIME POWER NUMBER OF COLUMNS
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UTILITAS MATHEMATICA, 1992, 41 : 151 - 160
[32] Blocking Sets and Large Transversal-Free Systems of Mutually Orthogonal Latin Squares
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[33] METHODS OF CONSTRUCTING SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES USING A COMPUTER .2.
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[34] The non-existence of maximal sets of four mutually orthogonal Latin squares of order 8
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[35] The Non-Existence of Maximal Sets of Four Mutually Orthogonal Latin Squares of Order 8
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Designs, Codes and Cryptography, 2004, 33 : 63 - 69
[36] Aspects of complete sets of 9 x 9 pairwise orthogonal Latin squares
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DISCRETE MATHEMATICS, 1997, 167 : 519 - 525
[37] Maximal partial spreads in PG(3,4) and maximal sets of mutually orthogonal latin squares of order 16
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DISCRETE MATHEMATICS, 2003, 261 (1-3) : 361 - 371

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