ON THE NUMBER OF 8X8 LATIN SQUARES

被引：18

作者：

KOLESOVA, G

LAM, CWH

THIEL, L

机构：

[1] Computer Science Department, Concordia University, Montréal

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1990年 / 54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(90)90015-O

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The numbers of non-isomorphic Latin squares of order 8 under the action of various different symmetry groups have been reported by Wells in 1967, by Brown in 1968 and by Arlazarov and coworkers in 1978. The result of Wells has also been independently verified by Bammel and Rothstein in 1975. As an intermediate step towards finding a complete list of projective planes of order 9, we have to generate all the Latin squares of order 8. We find numbers that agree with Wells, but different from those of Brown and Arlazarov and coworkers. These new numbers are reported in this note. We also give the distributions of these numbers according to the size of the automorphism group, which allows one to easily cross check the results. © 1990.

引用

页码：143 / 148

页数：6

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