Construction of Complex Lattice Codes via Cyclotomic Fields
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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| Main Authors: | , , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
2022
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292022000100033 |
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