Doubly extended codes for general metrics

  1. Umberto Martinez-Penas 1
  1. 1 IMUVa-Mathematics Research Institute, University of Valladolid
Livre:
EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones
  1. Galindo Pastor, Carlos (coord.)
  2. Gimenez, Philippe (coord.)
  3. Hernando Carrillo, Fernando (coord.)
  4. Monserrat Delpalillo, Francisco José (coord.)
  5. Moyano-Fernández, Julio José (coord.)

Éditorial: Servei de Comunicació i Publicacions ; Universitat Jaume I

ISBN: 978-84-19647-46-7

Année de publication: 2023

Pages: 119-122

Congreso: Encuentro de Álgebra Computacional y Aplicaciones (17. 2022. Castelló de la Plana)

Type: Communication dans un congrès

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Résumé

In this work, doubly extended codes are generalized to any metric and to any initial code to be extended. In particular, doubly extended maximum sum-rank distance (MSRD) codes are obtained from several families of known MSRD codes. These resultsgeneralize classical doubly extended Reed-Solomon codes for the Hamming metric and the recent doubly extended linearized Reed-Solomon codes for the sum-rank metric.

La source de données: Dialnet