Add to ORKGOften in mathematics there is a deep interplay between algebra and geometry. So, splittings of groups correspond to lattice tilings of the Euclidean space by certain star bodies. This links two code concepts, which at first glance do not seem to be closely related: shift codes and codes in the Lee metric and error measures defined by similar spheres ("Stein sphere" and "Stein corner") around a codeword
A recent approach for the construction of constant dimension subspace codes, designed for error corr...
In the presented work we define a class of error-correcting codes based on incidence vectors of proj...
Abstract—A new class of spherical codes is constructed by selecting a finite subset of flat tori fro...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
The theory of geometrically uniform signal sets and codes over groups is applied to the case of LxMP...
AbstractThe homology groups of a finite geometry may be regarded as linear codes; and then the minim...
Copyright © 2013 Garib Movsisyan. This is an open access article distributed under the Creative Comm...
AbstractIn a series of papers, Galovich, Hamaker, Hickerson, Stein and Szabó investigated the tiling...
Let ℳ denote the Mathieu group on 24 points. Let G be the subgroup of ℳ which has three sets of tran...
Quotients of R2 by translation groups are metric spaces known as flat tori. We start from codes whic...
Abstract—We consider lattice tilings of by a shape we call a-quasi-cross. Such lattices form perfect...
The purpose of this paper is to introduce new linear codes with generalized symmetry. We extend cycl...
www.math.mtu.edu/∼tonchev Abstract — Difference systems of sets can be used to transform an arbitrar...
This book provides a first course on lattices – mathematical objects pertaining to the realm of disc...
AbstractWe use some basic results and ideas from the integral geometry to study certain properties o...
A recent approach for the construction of constant dimension subspace codes, designed for error corr...
In the presented work we define a class of error-correcting codes based on incidence vectors of proj...
Abstract—A new class of spherical codes is constructed by selecting a finite subset of flat tori fro...
We show that commutative group spherical codes in R(n), as introduced by D. Slepian, are directly re...
The theory of geometrically uniform signal sets and codes over groups is applied to the case of LxMP...
AbstractThe homology groups of a finite geometry may be regarded as linear codes; and then the minim...
Copyright © 2013 Garib Movsisyan. This is an open access article distributed under the Creative Comm...
AbstractIn a series of papers, Galovich, Hamaker, Hickerson, Stein and Szabó investigated the tiling...
Let ℳ denote the Mathieu group on 24 points. Let G be the subgroup of ℳ which has three sets of tran...
Quotients of R2 by translation groups are metric spaces known as flat tori. We start from codes whic...
Abstract—We consider lattice tilings of by a shape we call a-quasi-cross. Such lattices form perfect...
The purpose of this paper is to introduce new linear codes with generalized symmetry. We extend cycl...
www.math.mtu.edu/∼tonchev Abstract — Difference systems of sets can be used to transform an arbitrar...
This book provides a first course on lattices – mathematical objects pertaining to the realm of disc...
AbstractWe use some basic results and ideas from the integral geometry to study certain properties o...
A recent approach for the construction of constant dimension subspace codes, designed for error corr...
In the presented work we define a class of error-correcting codes based on incidence vectors of proj...
Abstract—A new class of spherical codes is constructed by selecting a finite subset of flat tori fro...