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Displaying 81 – 100 of 152

On elementary moves that generate all spherical latin trades

Aleš Drápal (2009)

Commentationes Mathematicae Universitatis Carolinae

We show how to generate all spherical latin trades by elementary moves from a base set. If the base set consists only of a single trade of size four and the moves are applied only to one of the mates, then three elementary moves are needed. If the base set consists of all bicyclic trades (indecomposable latin trades with only two rows) and the moves are applied to both mates, then one move suffices. Many statements of the paper pertain to all latin trades, not only to spherical ones.

On mixed codes with covering radius 1 and minimum distance 2.

Haas, Wolfgang, Quistorff, Jörn (2007)

The Electronic Journal of Combinatorics [electronic only]

On multiplicative magic squares.

Cilleruelo, Javier, Luca, Florian (2010)

The Electronic Journal of Combinatorics [electronic only]

On orthogonal Latin $p$ -dimensional cubes

Marián Trenkler (2005)

Czechoslovak Mathematical Journal

We give a construction of $p$ orthogonal Latin $p$ -dimensional cubes (or Latin hypercubes) of order $n$ for every natural number $n \neq 2, 6$ and $p \geq 2$ . Our result generalizes the well known result about orthogonal Latin squares published in 1960 by R. C. Bose, S. S. Shikhande and E. T. Parker.

On small distances of small 2-groups

Natalia Zhukavets (2001)

Commentationes Mathematicae Universitatis Carolinae

The paper reports the results of a search for pairs of groups of order $n$ that can be placed in the distance $n^{2} / 4$ for the case when $n \in {16, 32}$ . The constructions that are used are of the general character and some of their properties are discussed as well.

On some Generalizations of a Class of Discrete Functions

Kovachev, Dimiter (2008)

Serdica Journal of Computing

In this paper we examine discrete functions that depend on their variables in a particular way, namely the H-functions. The results obtained in this work make the “construction” of these functions possible. H-functions are generalized, as well as their matrix representation by Latin hypercubes.