Construction of Complex Lattice Codes via Cyclotomic Fields
AUTOR(ES)
CARVALHO, E. D. DE; ANDRADE, A. A.; SHAH, T.; TRINCA, C. C.
FONTE
Trends in Computational and Applied Mathematics
DATA DE PUBLICAÇÃO
2022
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.
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