Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Construction of Complex Lattice Codes via Cyclotomic Fields

Full text
Author(s):
E. D. DE CARVALHO [1] ; A. A. ANDRADE [2] ; T. SHAH [3] ; C. C. TRINCA [4]
Total Authors: 4
Affiliation:
[1] State University of São Paulo. Department of Mathematics - Brasil
[2] State University of São Paulo. Department of Mathematics - Brasil
[3] University of Quaid-i-Azam. Department of Mathematics
[4] Federal University of Tocantins. Department of Bioprocess and Biotechnology Engineering - Brasil
Total Affiliations: 4
Document type: Journal article
Source: Trends in Computational and Applied Mathematics; v. 23, n. 1, p. 33-50, 2022-04-04.
Abstract

ABSTRACT Through algebraic number theory and Construction A we extend an algebraic procedure which generates nested complex lattice codes from the polynomial ring F 2 x / x n - 1, where F 2 = 0 , 1, by using ideals from the generalized polynomial ring F 2 x , 1 2 ℤ 0 x 1 2 2 n - 1 through the ring of integers ���� of the cyclotomic field L = ℚ ζ 2 s, where ζ 2 s is a 2 s -th root of the unit, with s > 2. (AU)

FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants