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

共 50 条

[1] On the construction of integer codes with minimal signal point constellations
Morita, Hiroyoshi
van Wijngaarden, Adriaan J.
Geyser, Albert
[J]. 2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS, 2006, : 1075 - +
[2] A polynomial construction of perfect codes
Nguyen, GD
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (08) : 127 - 131
[3] A COMBINATORIAL CONSTRUCTION OF PERFECT CODES
PHELPS, KT
[J]. SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1983, 4 (03): : 398 - 403
[4] On the construction of space-time Hamiltonian constellations from group codes
Niyomsataya, T
Miri, A
Nevins, M
[J]. 2004 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS, VOLS 1-7, 2004, : 613 - 617
[5] Signal Constellations for Orthogonal Space-Time Block Codes
Wu, Yi
Paetzold, Matthias
[J]. 2007 INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS, NETWORKING AND MOBILE COMPUTING, VOLS 1-15, 2007, : 287 - +
[6] On the construction of geometrically uniform codes with L x MPSK constellations
Dinh, TC
Hashimoto, T
Itoh, S
[J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1997, E80A (03) : 598 - 605
[7] Two-dimensional signal constellations for nonlinear coset codes based on multistage codes
Barnes, C.F.
[J]. Proceedings of the Annual Conference on Information Sciences and Systems, 1991,
[8] New four-dimensional signal constellations construction
Ugrelidze, Nodar
Shavgulidze, Sergo
Sordia, Mariam
[J]. IET COMMUNICATIONS, 2020, 14 (10) : 1554 - 1559
[9] DISTRIBUTED GABBA SPACE-TIME CODES WITH COMPLEX SIGNAL CONSTELLATIONS
Maham, Behrouz
Hjorungnes, Are
Abreu, Giuseppe
[J]. 2008 IEEE SENSOR ARRAY AND MULTICHANNEL SIGNAL PROCESSING WORKSHOP, 2008, : 118 - +
[10] A Combinatorial Construction for Perfect Deletion-Correcting Codes
Jianxing Yin
[J]. Designs, Codes and Cryptography, 2001, 23 : 99 - 110

← 1 2 3 4 5 →