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

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

In this paper, we study code constructions over the finite ring M2(F2), the ring of 2 x 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 x 2 space-time coded modulation, when the...

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Bibliographic Details
Main Authors: Oggier, Frederique, Sole, Patrick, Belfiore, Jean-Claude
Other Authors: School of Physical and Mathematical Sciences
Format: Conference or Workshop Item
Language:English
Published: 2009
Subjects:
DRNTU::Engineering::Electrical and electronic engineering::Wireless communication systems
Online Access:https://hdl.handle.net/10356/98378
http://hdl.handle.net/10220/4577
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Institution: Nanyang Technological University
Language: English
Description
Summary:In this paper, we study code constructions over the finite ring M2(F2), the ring of 2 x 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 x 2 space-time coded modulation, when the inner code is the so-called Golden code.

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