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Start Over Descriptor "05B15" Journal graphs and combinatorics
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11. Difference Covering Arrays and Pseudo-Orthogonal Latin Squares

Author

Fatih Demirkale, Diane Donovan, Abdollah Khodkar, Asha Rao, and Joanne L. Hall

Subjects
Discrete mathematics, Design of experiments, Spectrum (functional analysis), 020206 networking & telecommunications, 0102 computer and information sciences, 02 engineering and technology, Graeco-Latin square, 01 natural sciences, Theoretical Computer Science, Connection (mathematics), Combinatorics, symbols.namesake, 05B15, 010201 computation theory & mathematics, Software testing, Latin square, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, symbols, Mathematics - Combinatorics, Discrete Mathematics and Combinatorics, Order (group theory), Combinatorics (math.CO), Mathematics, Data compression
Abstract

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 special class of pseudo-orthogonal Latin squares are the mutually nearly orthogonal Latin squares (MNOLS) first discussed in 2002, with general constructions given in 2007. In this paper we develop row complete MNOLS from difference covering arrays. We will use this connection to settle the spectrum question for sets of 3 mutually pseudo-orthogonal Latin squares of even order, for all but the order 146.

Published
2015

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