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On Space-Time Codes Arising from Free Modules and Algebras over an Integral Domain
Conference proceeding

On Space-Time Codes Arising from Free Modules and Algebras over an Integral Domain

Mhammed Boulagouaz and Abdulaziz Deajim
NON-ASSOCIATIVE AND NON-COMMUTATIVE ALGEBRA AND OPERATOR THEORY, NANCAOT, Vol.160, pp.27-39
Springer Proceedings in Mathematics & Statistics
01/01/2016
DOI: https://doi.org/10.1007/978-3-319-32902-4_2

Abstract

Mathematics Physical Sciences Science & Technology
Let R be an integral domain, K its field of fractions, and M-n(R) the R-algebra of square matrices of order n and entries from R. In this paper we present two ways of constructing space-time block codes as submodules of M-n (R) for n >= 1: first, by embedding free associative R-algebras of finite rank n with no zero divisors into M-n(R); second, by injecting free R-modules of finite rank n into M-n(R) boolean AND GL(n)(K) boolean AND {0}. Some examples of such space-time block codes are given.

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