Title
The Existence of Four HMOLS with Equal Sized Holes
Abstract
In this paper, we present several new constructions for k holey mutually orthogonal Latin squares (HMOLS) of type gn. We concentrate mainly on k=4; here, for all but two values of n, namely 6 and 15, only a finite number of unsolved cases remain. Some new sets of 5 and 6 HMOLS are also given, in particular 5 HMOLS(2q) for q≥63 or q an odd prime power between 6 and 62, plus 6 HMOLS(4q)for q an odd prime power between 8 and 60.
Year
DOI
Venue
2002
10.1023/A:1016588722296
Des. Codes Cryptography
Keywords
Field
DocType
HMOLS,HQDM,HPMD,FPMD,GDD
Discrete mathematics,Combinatorics,Finite set,Graeco-Latin square,Prime power,Mathematics
Journal
Volume
Issue
ISSN
26
1/3
1573-7586
Citations 
PageRank 
References 
8
0.94
10
Authors
3
Name
Order
Citations
PageRank
R. Julian R. Abel110410.94
F. E. Bennett280.94
Gennian Ge390495.51