Discrete Mathematics - Combinatorial designs: a tribute to Haim Hanani
The existence of 3 orthogonal partitioned incomplete Latin squares of type tn
Discrete Mathematics
Existence of three HMOLS of types hn and 2n31
Discrete Mathematics
Existence of Incomplete Transversal Designs with BlockSize Five and Any Index λ
Designs, Codes and Cryptography
Direct constructions for certain types of HMOLS
Discrete Mathematics
Almost resolvable perfect Mendelsohn designs with block size five
Discrete Applied Mathematics
Modified group divisible designs with block size 5 and λ = 1
Discrete Mathematics
Resolvable perfect Mendelsohn designs with block size five
Discrete Mathematics
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
Cover-Free Families and Topology-Transparent Scheduling for MANETs
Designs, Codes and Cryptography
General frame constructions for Z-cyclic triplewhist tournaments
Journal of Combinatorial Theory Series A
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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.