12 citations · 12 across the 4 of their papers we have counts for
4 papers
Enumerations of maximum partial triple systems on 16 and 17 points
Fatih Demirkale, Diane Donovan, Mike Grannell
For or 3 (mod 6), maximum partial triple systems on points are Steiner triple systems, STS()s. The 80 non-isomorphic STS(15)s were first enumerated around 100 ye…
Orthogonal trades in complete sets of MOLS
Nicholas J. Cavenagh, Diane M. Donovan, Fatih Demirkale
Let be the Latin square given by the addition table for the integers modulo an odd prime . Here we consider the properties of Latin trades in which preserve orthogon…
Difference Covering Arrays and Pseudo-Orthogonal Latin Squares
Fatih Demirkale, Diane M. Donovan, Joanne Hall +2
Difference arrays are used in applications such as software testing, authentication codes and data compression. Pseudo-orthogonal Latin squares are used in experimental designs. A…
Direct constructions for general families of cyclic mutually nearly orthogonal Latin squares
Fatih Demirkale, Diane Donovan, Abdollah Khodkar
Two Latin squares and , of even order with entries , are said to be nearly orthogonal if the superimposition of on yields…