On the construction of perfect codes from HEX signal constellations

被引：0

作者：

Trinca, C. C. ^{[2
]}

Carvalho, E. D. ^{[1
]}

Vieira Filho, J. ^{[2
]}

Andrade, A. A. ^{[3
]}

机构：

[1] Univ Estadual Paulista, FEIS, Dept Math, Sao Paulo, Brazil

[2] Univ Estadual Paulista, FEIS, Dept Elect Engn, Sao Paulo, Brazil

[3] Univ Estadual Paulista, IBILCE, Dept Math, Sao Paulo, Brazil

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 10期

关键词：

RAYLEIGH FADING CHANNEL; SPACE-TIME CODES; DIVISION-ALGEBRAS; PERFORMANCE; DIVERSITY; NUMBER;

D O I：

10.1016/j.jfranklin.2012.09.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently, minimum and non-minimum delay perfect codes were proposed for any channel of dimension n. Their construction appears in the literature as a subset of cyclic division algebras over Q(zeta(3)) only for the dimension n = 2(s)n(1), where s is an element of {0,1}, n(1) is odd and the signal constellations are isomorphic to Z[zeta(3)](n) In this work, we propose an innovative methodology to extend the construction of minimum and non-minimum delay perfect codes as a subset of cyclic division algebras over Q(zeta(3)), where the signal constellations are isomorphic to the hexagonal A(2)(n)-rotated lattice, for any channel of any dimension n such that gcd(n,3) = 1. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3060 / 3077

页数：18

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