Construction of lattices and applications in Information Theory
Algebraic construction of lattices via Minkowski's homomorphism
Algebra and Number Theory applied to the construction of lattices
| Full text | |
| Author(s): |
Ferrari, Agnaldo Jose
;
de Andrade, Antonio Aparecido
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 38, n. 4, p. 18-pg., 2019-12-01. |
| Abstract | |
Signal constellations having lattice structure have been studied as meaningful means for signal transmission over Gaussian channel. Usually the problem of finding good signal constellations for a Gaussian channel is associated with the search for lattices with high packing density, where in general the packing density is usually hard to estimate. The aim of this paper was to illustrate the fact that the polynomial ring Z[x] can produce lattices with maximum achievable center density, where s the ring of rational integers. Essentially, the method consists of constructing a generator matrix from a quotient ring of Z[x]. (AU) | |
| FAPESP's process: | 13/25977-7 - Security and reliability of Information: theory and practice |
| Grantee: | Marcelo Firer |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 14/14449-2 - Construction of lattices and applications in Information Theory |
| Grantee: | Agnaldo José Ferrari |
| Support Opportunities: | Regular Research Grants |