A 2×2 lattice space-time code of the highest rank

Yang, Shichun; He, Bo; Togbé, Alain

doi:10.1090/S0002-9939-09-10004-7

A $2\times 2$ lattice space-time code of the highest rank
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by Shichun Yang, Bo He and Alain Togbé PDF

Proc. Amer. Math. Soc. 137 (2009), 3601-3607 Request permission

Abstract:

For all previous constructions of $2\times 2$ lattice space-time codes with a positive diversity product, the rank $r(2)$ was such that $r(2)\leq 4$. An example of a $2\times 2$ lattice space-time code of rank $5$ with a positive diversity product was given by Xing and Li. In this paper, we give an example of a $2\times 2$ lattice space-time code of rank $8$ with a positive diversity product. This gives an answer to the open problem set by Xing and Li.

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