Extension theorems for various weight functions over Frobenius bimodules

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5 Scopus citations


In this paper, we study codes where the alphabet is a finite Frobenius bimodule over a finite ring. We discuss the extension property for various weight functions. Employing an entirely character-theoretic approach and a duality theory for partitions on Frobenius bimodules, we derive alternative proofs for the facts that the Hamming weight and the homogeneous weight satisfy the extension property. We also use the same techniques to derive the extension property for other weights, such as the Rosenbloom-Tsfasman weight.

Original languageEnglish
Article number1850052
JournalJournal of Algebra and its Applications
Issue number3
StatePublished - Mar 1 2018

Bibliographical note

Publisher Copyright:
© 2018 World Scientific Publishing Company.


  • Frobenius bimodules
  • codes
  • extension property
  • weight functions

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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