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): |
Total Authors: 2
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Affiliation: | [1] Universidade do Estado de São Paulo. Departamento de Matemática - Brasil
[2] San Diego State University. Department of Mathematics & Statistics - Estados Unidos
Total Affiliations: 2
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Document type: | Journal article |
Source: | TEMA (São Carlos); v. 20, n. 3, p. 445-456, 2019-12-13. |
Abstract | |
ABSTRACT A method for constructing rotated ℤ n-lattices, with n a power of 2, based on totally real subfields of the cyclotomic field ℚ ( ζ 2 r ), where r ≥ 4is an integer, is presented. Lattices exhibiting full diversity in some dimensions n not previously addressed are obtained. (AU) | |
FAPESP's process: | 13/25977-7 - Security and reliability of Information: theory and practice |
Grantee: | Marcelo Firer |
Support Opportunities: | Research Projects - Thematic Grants |