Compound orthomorphisms of the cyclic group

DOI10.1016/j.ffa.2010.04.001zbMath1200.05013OpenAlexW1974662261MaRDI QIDQ982484

Ian M. Wanless, Rebecca J. Stones

Publication date: 7 July 2010

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.04.001

zbMATH Keywords

Latin squareorthomorphismpartial orthomorphismcompatible orthomorphismcompound orthomorphismpolynomial orthomorphism

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Orthogonal arrays, Latin squares, Room squares (05B15) Sequences (mod (m)) (11B50)

Related Items (11)

On computing the number of Latin rectangles ⋮ Cycle structures of orthomorphisms extending partial orthomorphisms of Boolean groups ⋮ Cycle structure of autotopisms of quasigroups and latin squares ⋮ The set of autotopisms of partial Latin squares ⋮ A congruence connecting Latin rectangles and partial orthomorphisms ⋮ Bounds on the number of autotopisms and subsquares of a Latin square ⋮ Differences of Bijections ⋮ ON THE NUMBER OF LATIN RECTANGLES ⋮ On the number of transversals in Cayley tables of cyclic groups ⋮ Existence results for cyclotomic orthomorphisms ⋮ Symmetries of partial Latin squares

Uses Software

• OEIS

Cites Work

• The number of transversals in a Latin square
• Applying fast simulation to find the number of good permutations
• Divisors of the number of Latin rectangles
• On the number of transversals in Cayley tables of cyclic groups
• Estimating the number of good permutations by a modified fast simulation method
• On completing three cyclically generated transversals to a Latin square
• Upper bound on the number of complete maps
• Completing partial Latin squares with two cyclically generated prescribed diagonals
• Completing partial Latin squares with prescribed diagonals.
• Estimation of the number of ``good permutations with applications to cryptography
• Calculation of the number of complete mappings for permutations
• A congruence connecting Latin rectangles and partial orthomorphisms
• Über Permutationspolynome und Permutationsfunktionen für Primzahlpotenzen
• On the number of Latin squares
• On orthogonal orthomorphisms of cyclic and non-abelian groups. II
• Transversals in Latin Squares
• Orthomorphism graphs of groups
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