Classical and quantum convolutional codes derived from algebraic geometry codes

Francisco Fernandes Pereira (Corresponding author), Giuliano Gadioli La Guardia, Francisco Marcos de Assis

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

In this paper, we construct new families of classical convolutional codes (CCC's) and new families of quantum convolutional codes (QCC's). The CCC's are derived from (block) algebraic geometry (AG) codes. Furthermore, new families of CCC's are constructed by applying the techniques of puncturing, extending, expanding, and by the direct product code construction applied to AG codes. In addition, utilizing the new CCC's constructed here, we obtain new families of QCC's. The parameters of these new codes are good. More precisely, in the classical case, a family of almost near maximum distance separable (MDS) codes is presented; in the quantum case, we construct a family of MDS (optimal) quantum convolutional codes.
Original languageEnglish
Article number8490857
Pages (from-to)73-82
Number of pages10
JournalIEEE Transactions on Communications
Volume67
Issue number1
DOIs
Publication statusPublished - Jan 2019

Keywords

  • Algebraic geometry codes
  • Convolutional codes
  • Maximum distance separable codes
  • Quantum theory
  • algebraic geometry codes
  • maximum distance separable codes
  • quantum theory

Fingerprint

Dive into the research topics of 'Classical and quantum convolutional codes derived from algebraic geometry codes'. Together they form a unique fingerprint.

Cite this