A new constellation for space-time coding

In this paper, we propose a new encoding scheme for space-time coding. This encoding relies on the generalisation [2] of Gabidulin codes to innite elds. This enables to make use of the properties of Gabidulin codes, namely, we can use algebraic decoding algorithms.

[1]  Wenhui Li,et al.  On transform-domain error and erasure correction by Gabidulin codes , 2014, Designs, Codes and Cryptography.

[2]  O. Ore On a special class of polynomials , 1933 .

[3]  P. Vijay Kumar,et al.  A unified construction of space-time codes with optimal rate-diversity tradeoff , 2005, IEEE Transactions on Information Theory.

[4]  Daniel Augot,et al.  Rank metric and Gabidulin codes in characteristic zero , 2013, 2013 IEEE International Symposium on Information Theory.