Trellis properties of group codes

Haibin Kan, Hong Shen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

In this paper, we discuss some trellis properties for codes over finite Abelian groups, and prove that for any biproper p-basis of a group code, their atomic spans and orders of the first and last nonzero components of vectors in the biproper p-basis are unique. This is the generalization of the corresponding trellis property for a linear code over a field. We also discuss difficulties when we try to generalize the theory of a tail-biting trellis over a field into that of a tail-biting trellis over a finite Abelian group.

Original languageEnglish
Title of host publication6th International Conference on Advanced Communication Technology
Subtitle of host publicationBroadband Convergence Network Infrastructure
Pages203-206
Number of pages4
Publication statusPublished - 2004
Externally publishedYes
Event6th International Conference on Advanced Communication Technology: Broadband Convergence Network Infrastructure - Phoenix Park, Korea, Republic of
Duration: 9 Feb 200411 Feb 2004

Publication series

Name6th International Conference on Advanced Communication Technology: Broadband Convergence Network Infrastructure
Volume1

Conference

Conference6th International Conference on Advanced Communication Technology: Broadband Convergence Network Infrastructure
Country/TerritoryKorea, Republic of
CityPhoenix Park
Period9/02/0411/02/04

Keywords

  • Atomic span
  • Biproper p-basis
  • Minimal span form
  • Tail-biting trellis
  • Trellis

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