Linear and cyclic codes over direct product of finite chain rings

Research output: Contribution to journalArticleResearch

3 Citations (Scopus)

Abstract

Copyright © 2017 John Wiley & Sons, Ltd. We introduce a new type of linear and cyclic codes. These codes are defined over a direct product of 2 finite chain rings. The definition of these codes as certain submodules of the direct product of copies of these rings is given, and the cyclic property is defined. Cyclic codes can be seen as submodules of the direct product of polynomial rings. Generator matrices for linear codes and generator polynomials for cyclic codes are determined. Further, we study the concept of duality.
Original languageEnglish
Pages (from-to)6519-6529
JournalMathematical Methods in the Applied Sciences
Volume41
Issue number16
DOIs
Publication statusPublished - 15 Nov 2018

Keywords

  • codes over rings
  • cyclic codes
  • finite chain rings
  • linear codes

Fingerprint

Dive into the research topics of 'Linear and cyclic codes over direct product of finite chain rings'. Together they form a unique fingerprint.

Cite this