On completing three cyclically generated transversals to a latin square

Autor:	Adrian M. Nelson, Nicholas J. Cavenagh, Carlo Hamalainen
Jazyk:	angličtina
Předmět:	Discrete mathematics Algebra and Number Theory Applied Mathematics Modulo Semi-queen General Engineering Latin square Of the form Orthomorphism Transversal Diagonally cyclic latin square Theoretical Computer Science Combinatorics Transversal (geometry) Complete mapping Engineering(all) Mathematics
Zdroj:	Finite Fields and Their Applications. (3):294-303
ISSN:	1071-5797
DOI:	10.1016/j.ffa.2008.05.009
Popis:	Let P be a partial latin square of prime order p>7 consisting of three cyclically generated transversals. Specifically, let P be a partial latin square of the form:P={(i,c+i,s+i),(i,c′+i,s′+i),(i,c″+i,s″+i)|0⩽i7, every partial transversal of size 3 in the addition table for the integers modulo p can be completed to a full transversal.
Databáze:	OpenAIRE
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