Open Access

Space-Time Convolutional Codes over Finite Fields and Rings for Systems with Large Diversity Order

EURASIP Journal on Wireless Communications and Networking20082008:624542

Received: 26 October 2007

Accepted: 6 May 2008

Published: 20 May 2008


We propose a convolutional encoder over the finite ring of integers modulo , where is a prime number and is any positive integer, to generate a space-time convolutional code (STCC). Under this structure, we prove three properties related to the generator matrix of the convolutional code that can be used to simplify the code search procedure for STCCs over . Some STCCs of large diversity order (≥4) designed under the trace criterion for , and 4 transmit antennas are presented for various PSK signal constellations.


Information SystemSystem ApplicationFinite FieldDiversity OrderFull Article

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Authors’ Affiliations

Telecommunications Systems Research and Development Group, Federal Center of Technological Education of Santa Catarina, São José, Brazil
Communications Research Group-GPqCom, Department of Electrical Engineering, Federal University of Santa Catarina, Florianopolis, Brazil


© M. de Noronha-Neto and B. F. Uchôa-Filho 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.