Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/61202
Type: Artigo de periódico
Title: Lattice constellations and codes from quadratic number fields
Author: Neto, TPD
Interlando, JC
Favareto, OM
Elia, M
Palazzo, R
Abstract: We propose new classes of linear codes over integer rings of quadratic extensions of Q, the field of rational numbers. The codes are considered with respect to a Mannheim metric, which is a Manhattan metric module a two-dimensional (2-D) grid. In particular, codes over Gaussian integers and Eisenstein-Jacobi integers are extensively studied. Decoding algorithms are proposed for these codes when up to two coordinates of a transmitted code vector are affected by errors of arbitrary Mannheim weight. Moreover, we show that the proposed codes are maximum-distance separable (MDS), with respect to the Hamming distance. The practical interest in such Mannheim-metric codes is their use in coded modulation schemes based on quadrature amplitude modulation (QAM)-type constellations, for which neither the Hamming nor the Lee metric is appropriate.
Subject: algebraic decoding
Euclidean domains
lattices
linear codes
Mannheim distance
number fields
signal sets matched to groups
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Rights: fechado
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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