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In this paper, we study code constructions over the finite ring M2(F2), the ring of 2times2 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 times 2 space-time coded modulation, when the inner code is the so-called Golden code.
Date of Conference: June 28 2009-July 3 2009