Additive G-codes over Fq and their dualities

S. T. Dougherty, C. Fernández-Córdoba*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We define additive G-codes over finite fields. We prove that if C is an additive G-code over Fq with duality M then its dual with respect to this duality CM is an additive G-code. We prove that if M and M are two dualities, then CM and CM are equivalent codes. Finally, we study the existence of self-dual codes for a variety of dualities and relate them to formally self-dual and linear self-dual codes.

Original languageEnglish
Article number101821
JournalFinite Fields and Their Applications
Volume72
DOIs
Publication statusPublished - 1 Jun 2021

Keywords

  • Additive codes
  • G-codes
  • Self-dual codes

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