Codes over M2(F2) and applications to golden space-time coded modulation

Authors:
Frédérique Oggier;Patrick Solé;Jean-Claude Belfiore
Affiliations:
Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore;CNRS, I3S, Les Algorithmes B, Sophia Antipolis, France;Department of Communications and Electronics, TELECOM ParisTech, Paris, France
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Year:
2009

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Abstract

In this paper, we study code constructions over the finite ring M2(F2), the ring of 2×2 matrices with coefficients in the finite field F2. We show how they can be related to classical codes over F4. We provide as application the design of outer codes for 2 × 2 space-time coded modulation, when the inner code is the so-called Golden code.