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IPM
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“School of Mathematics”

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Paper   IPM / M / 16004
School of Mathematics
  Title:   Mathematics of digital communications: From finite fields to group rings and noncommutative algebra
  Author(s): 
1.  Hassan Khodaiemehr
2.  Dariush Kiani
  Status:   Publishied
  Journal: Iranian J. Sci. Tech.
  Year:  2020
  Pages:   DOI: 10.1007/s40995-020-00821-7
  Supported by:  IPM
  Abstract:
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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