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

[21] EXPERIMENTAL DESIGNS AND COMBINATORIAL SYSTEMS ASSOCIATED WITH LATIN SQUARES AND SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES
HEDAYAT, A
SHRIKHANDE, SS
SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1971, 33 (DEC): : 423 - 432
[22] NONISOMORPHIC COMPLETE-SETS OF ORTHOGONAL F-SQUARES AND HADAMARD-MATRICES
SCHWAGER, SJ
FEDERER, WT
RAKTOE, BL
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[23] ON METHODS OF CONSTRUCTING SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES USING A COMPUTER
BOSE, RC
CHAKRAVARTI, IM
KNUTH, DE
ANNALS OF MATHEMATICAL STATISTICS, 1960, 31 (03): : 813 - 814
[24] Complete Sets of Mutually Orthogonal Hypercubes and Their Connections to Affine Resolvable Designs
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[25] SETS OF MUTUALLY ORTHOGONAL LATIN SQUARES WITH LIKE SUBSQUARES .2.
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[26] Algebraic representation of affine MDS-codes and mutually orthogonal latin squares
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[27] The competition numbers of complete multipartite graphs and mutually orthogonal Latin squares
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[28] Some results on complete permutation polynomials and mutually orthogonal Latin squares
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FINITE FIELDS AND THEIR APPLICATIONS, 2024, 93
[29] On the connection between mutually unbiased bases and orthogonal Latin squares
Paterek, T.
Pawlowski, M.
Grassl, M.
Brukner, C.
PHYSICA SCRIPTA, 2010, T140
[30] COMPLETE-SETS OF MUTUALLY ORTHOGONAL F-SQUARES OF COMPOSITE ORDER 2KT WITH 2 AND 2K-1 SYMBOLS
MANDELI, JP
UTILITAS MATHEMATICA, 1991, 39 : 57 - 63

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