12 citations · 28 across the 9 of their papers we have counts for
10 papers
A note on sub-orthogonal lattices
João Eloir Strapasson
It is shown that, given any -dimensional lattice , there is a lattice sequence , , with sub-orthogonal lattice , converging to (unless…
A heuristic approach for designing cyclic group codes
João E. Strapasson, Cristiano Torezzan
In this paper we propose a heuristic technique for distributing points on the surface of a unit n-dimensional Euclidean sphere, generated as the orbit of a finite cyclic subgroup o…
Quasi-perfect codes in the metric
João E. Strapasson, Grasiele C. Jorge, Antonio Campello +1
We consider quasi-perfect codes in over the metric, . Through a computational approach, we determine all radii for which there are linear…
Perfect codes in the lp metric
Antonio Campello, Grasiele C. Jorge, and João Strapasson +1
We investigate perfect codes in under the metric. Upper bounds for the packing radius of a linear perfect code, in terms of the metric parameter and…
Fisher information distance: a geometrical reading
Sueli I. R. Costa, Sandra A. Santos, João E. Strapasson
This paper is a strongly geometrical approach to the Fisher distance, which is a measure of dissimilarity between two probability distribution functions. The Fisher distance, as we…
Optimum Commutative Group Codes
Cristiano Torezzan, João E. Strapasson, Sueli I. R. Costa +1
A method for finding an optimum -dimensional commutative group code of a given order is presented. The approach explores the structure of lattices related to these codes and…
On projections of arbitrary lattices
Antonio Campello, João Strapasson, Sueli Costa
In this paper we prove that given any two point lattices and , there is a set of vectors s…
On sequences of projections of the cubic lattice
Antonio Campello, João Strapasson
In this paper we study sequences of lattices which are, up to similarity, projections of onto a hyperplane , with a…
A note on quadrangular embedding of Abelian Cayley Graphs
J. E. Strapasson, S. I. R. Costa, M. M. S. Alves
The genus graphs have been studied by many authors, but just a few results concerning in special cases: Planar, Toroidal, Complete, Bipartite and Cartesian Product of Bipartite. We…
The Ring of Integers in the Canonical Structures of the Planes
José C. Cifuente, João E. Strapasson, Ana C. Corrêa +1
The \emph{canonical structures of the plane} are those that result, up to isomorphism, from the rings that have the form $\mathds{R}[x]/(ax^2+bx+c)$ with .That ring is iso…