On large random almost euclidean bases.
On magic graphs
On M.D.S. codes, arcs in PG(n,q) with q even, and a solution of three fundamental problems of B. Segre.
On mixed codes with covering radius 1 and minimum distance 2.
On multi-avoidance of right angled numbered polyomino patterns.
On multiple nuclei and a conjecture of Lunelli and Sce.
On multiplicative magic squares.
On nondistributive Steiner quasigroups
A well known result of R. Dedekind states that a lattice is nonmodular if and only if it has a sublattice isomorphic to . Similarly a lattice is nondistributive if and only if it has a sublattice isomorphic to or (see [11]). Recently a few results in this spirit were obtained involving the number of polynomials of an algebra (see e.g. [1], [3], [5], [6]). In this paper we prove that a nondistributive Steiner quasigroup (G,·) has at least 21 essentially ternary polynomials (which improves the...
On Norm Three Vectors in Integral Euclidean Lattices. I.
On optimal linear codes over .
On orthogonal Latin -dimensional cubes
We give a construction of orthogonal Latin -dimensional cubes (or Latin hypercubes) of order for every natural number and . 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 packing spheres into containers.
On powers of non-negative matrices
On P-polynomial representations of projective geometries in algebraic combinatorial geometries.
On Projective Plane of Order 13 with a Frobenius Group of Order 39 as a Collineation Group
One of the most outstanding problems in combinatorial mathematics and geometry is the problem of existence of finite projective planes whose order is not a prime power.
On Projective Planes of Type (5, m).
On Property B and on Steiner Systems.
On -clan geometry, .
On random greedy triangle packing.
On Representing Sylvester-Gallai Designs.