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Famílias de reticulados algébricos e reticulados ideais
(Universidade Estadual Paulista (UNESP), 2014)
Reticulados bem arredondados e reticulados semi-estáveis no R²
(Universidade Estadual Paulista (Unesp), 2018-12-17)
O objetivo deste trabalho é apresentar algumas características relacionadas à teoria de reticulados. Restringimos ao estudo dos reticulados obtidos via corpos quadráticos no R². Estudamos, de maneira sucinta, alguns conceitos ...
E8-lattice via the cyclotomic field Q(ξ24)
(2018-01-01)
Lattices can be applied in different areas of research, particularly, they can be applied in information theory and encryption schemes. Signal constellations having lattice structure have been used as a support for signal ...
Algebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices
(2020-01-01)
In this paper, we construct some families of rotated unimodular lattices and rotated direct sum of Barnes-Wall lattices BWn for n = 4, 8 and 16 via ideals of the ring of the integers azeta&2rq + ;zeta&2rq-1] for q = 3, 5 ...
Lattice Fuzzy Transforms From The Perspective Of Mathematical Morphology
(ELSEVIER SCIENCE BVAMSTERDAM, 2016)
Lattice Fuzzy Transforms From The Perspective Of Mathematical Morphology
(Elsevier Science BVAmsterdam, 2016)
Constructions of rotated lattice constellations in dimensions power of 3
(2018-09-01)
In this paper, we present the constructions of rotated ℤ3r-1-lattices, where r is a positive integer, via ℤ-modules of the ring of the integers ℤ [ζ3r+ζ 3r-1]. Our focus is on totally real number fields since the associated ...
A categorical characterization of non-distributive lattices.
(2013-08-09)
In this paper we give a categorical characterization of non-distributive lattices and non-distributive modular lattices, in terms of finite limits and finite colimits.