“School of Mathematics”
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| Paper IPM / M / 16004 |
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| Abstract: | |||||
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In this paper, we present some recent instances of applying algebraic tools
from different categories, in the design of digital communications systems. More
specifically, we present a structure based on the elements of a group ring for constructing
and encoding QC-LDPC codes. As another instance, we present the construction
of space-time block codes from the rings of twisted Laurent series which
include some instances of crossed product and non-crossed product division algebras.
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