Ensembles of codes over Abelian groups

Giacomo Como, Fabio Fagnani

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

4 Citations (SciVal)


In this paper we study ensembles of Abelian group codes on symmetric channels. Our main example is the AWGN channel where the inputs are restricted to a GU constellation admitting ℤm as a generating group. For codes which are ℤm-free modules, we prove a sort of Shannon theorem which exactly characterizes which are the rates for which reliable transmission is possible. In particular we prove that for the 2r- PSK constellation, group codes over ℤ2r do achieve Shannon capacity. Finally, we study the performance of low density ℤm- codes and we prove average convergence rate of their word error probability.

Original languageEnglish
Title of host publicationProceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05
Number of pages5
Publication statusPublished - 2005 Dec 1
Event2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia
Duration: 2005 Sep 42005 Sep 9


Conference2005 IEEE International Symposium on Information Theory, ISIT 05

Subject classification (UKÄ)

  • Control Engineering


  • Group codes
  • Low density parity check codes
  • M-PSK
  • Non-binary modulation


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