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

In this paper, we study code constructions over the finite ring M
₂
(F
₂
), the ring of 2times2 matrices with coefficients in the finite field F
₂
. We show how they can be related to classical codes over F
₄
. 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.