Crossed Products and Coding Theory

Yuval Ginosar, Aviram Rochas Moreno

Research output: Contribution to journalArticlepeer-review


Families of codes, such as group codes, constacyclic, and skew cyclic codes, which were independently suggested, turn out to be special instances of the general family of crossed product codes. Under this framework, the ambient code spaces are classified here with respect to Hamming-isometry in cohomological terms. This classification is demonstrated by two families of examples. We also determine when crossed products belonging to these families are semisimple and, in particular, when they admit only trivial codes.

Original languageEnglish
Article number8741079
Pages (from-to)6224-6233
Number of pages10
JournalIEEE Transactions on Information Theory
Issue number10
StatePublished - Oct 2019

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.


  • Crossed products
  • Hamming isometry
  • completion property
  • skew-constacyclic codes
  • twisted elementary Abelian codes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


Dive into the research topics of 'Crossed Products and Coding Theory'. Together they form a unique fingerprint.

Cite this