Construction of Menon designs with parameters (784,378,182) and (900,435,210).
Construction of minimal bracketing covers for rectangles.
Construction of Perpendicular Steiner. Quasigroups
Construction of Perpendicular Steiner Quasigroups. (Short Communications).
Construction of quasigroups having a large number of orthogonal mates
Construction of Skew Room Squares.
Construction of solvable near-block designs with the aid of a computer. (Konstruktion auflösbarer Fast-Blockpläne mit Hilfe eines Computers.)
Construction of the mutually orthogonal extraordinary supersquares
Our purpose is to determine the complete set of mutually orthogonal squares of order d, which are not necessary Latin. In this article, we introduce the concept of supersquare of order d, which is defined with the help of its generating subgroup in . We present a method of construction of the mutually orthogonal supersquares. Further, we investigate the orthogonality of extraordinary supersquares, a special family of squares, whose generating subgroups are extraordinary. The extraordinary subgroups...
Construction, properties and applications of finite neofields
We give a short account of the construction and properties of left neofields. Most useful in practice seem to be neofields based on the cyclic group and particularly those having an additional divisibility property, called D-neofields. We shall give examples of applications to the construction of orthogonal latin squares, to the design of tournaments balanced for residual effects and to cryptography.
Constructions for resolvable and related designs.
Constructions of color schemes
Contribution of František Matúš to the research on conditional independence
An overview is given of results achieved by F. Matúš on probabilistic conditional independence (CI). First, his axiomatic characterizations of stochastic functional dependence and unconditional independence are recalled. Then his elegant proof of discrete probabilistic representability of a matroid based on its linear representability over a finite field is recalled. It is explained that this result was a basis of his methodology for constructing a probabilistic representation of a given abstract...
Control treatments in designs with split units generated by Latin squares
This paper deals with two-factor experiments with split units. The whole plot treatments occur in a repeated Latin square, modified Latin square or Youden square, while subplot treatments occur in a block design within the whole plots. The statistical properties of the considered designs are examined. Special attention is paid to the case where one of the treatments is an individual control or an individual standard treatment. In addition, we give a brief overview of work on the design of experiments...
Convex hulls of polyominoes.
Convex Polytopes Whose Projection Bodies and Difference Sets Are Polars.
Correction to "Partial Spreads in Finite Projective Spaces and Partial Designs".
Correction to the paper "A note on inequivalent Hadamard matrices".
Correction to the paper: Packing of 180 equal circles on a sphere. Elemente der Mathematik. Vol. 38, 1983, 119-122.
Correspondence between two antimatroid algorithmic characterizations.
Counting fixed-height tatami tilings.