Abstract | ||
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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 |
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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. Abel | 1 | 104 | 10.94 |
F. E. Bennett | 2 | 8 | 0.94 |
Gennian Ge | 3 | 904 | 95.51 |