Construction of Complex Lattice Codes via Cyclotomic Fields

Autor(es)

E. D. DE CARVALHO ^[1] ; A. A. ANDRADE ^[2] ; T. SHAH ^[3] ; C. C. TRINCA ^[4]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Trends in Computational and Applied Mathematics; v. 23, n. 1, p. 33-50, 2022-04-04.

Resumo

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)

• Processo FAPESP: 13/25977-7 - Segurança e confiabilidade da informação: teoria e prática
• Beneficiário: Marcelo Firer
• Modalidade de apoio: Auxílio à Pesquisa - Temático