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Hyperbolic Geometrically Uniform Codes and Ungerboeck Partitioning on the Double Torus
(2022-03-01)
Current research builds labelings for geometrically uniform codes on the double torus through tiling groups. At least one labeling group was provided for all of the 11 regular tessellations on the double torus, derived ...
Graphs, tessellations, and perfect codes on flat tori
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2004)
On the construction and labelling of geometrically uniform signal sets in ℤ2 matched to additive quotient groups
(2008-05-01)
We establish the conditions under which it is possible to construct signal sets satisfying the properties of being geometrically uniform and matched to additive quotient groups. Such signal sets consist of subsets of signal ...
On the construction and labelling of geometrically uniform signal sets in ℤ2 matched to additive quotient groups
(2008-05-01)
We establish the conditions under which it is possible to construct signal sets satisfying the properties of being geometrically uniform and matched to additive quotient groups. Such signal sets consist of subsets of signal ...
Uniformity Properties Of Construction C
(IEEENew York, 2016)
Geometrically uniform hyperbolic codes
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2005-08-01)
In this paper we generalize the concept of geometrically uniform codes, formerly employed in Euclidean spaces, to hyperbolic spaces. We also show a characterization of generalized coset codes through the concept of G-linear codes.
Geometrically uniform hyperbolic codes
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2005-08-01)
In this paper we generalize the concept of geometrically uniform codes, formerly employed in Euclidean spaces, to hyperbolic spaces. We also show a characterization of generalized coset codes through the concept of G-linear codes.