The non-existence of maximal sets of four mutually orthogonal Latin squares of order 8

被引：4
|
作者：
Drake, DA [1 ]
Myrvold, W
机构：
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
[2] Univ Victoria, Dept Comp Sci, Victoria, BC V8W 3P6, Canada
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2004年 / 33卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
mutually orthogonal Latin squares; net; ovals in nets; projective Hjelmslev plane;
D O I：
10.1023/B:DESI.0000032607.03637.1c
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We establish the non- existence of a maximal set of four mols ( mutually orthogonal Latin squares) of order 8 and the non- existence of (8, 5) projective Hjelmslev planes. We present a maximal set of four mols of order 9.
引用
收藏
页码：63 / 69
页数：7
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