Doubly extended codes for general metrics
- 1 IMUVa-Mathematics Research Institute, University of Valladolid
- Galindo Pastor, Carlos (coord.)
- Gimenez, Philippe (coord.)
- Hernando Carrillo, Fernando (coord.)
- Monserrat Delpalillo, Francisco José (coord.)
- Moyano-Fernández, Julio José (coord.)
Argitaletxea: Servei de Comunicació i Publicacions ; Universitat Jaume I
ISBN: 978-84-19647-46-7
Argitalpen urtea: 2023
Orrialdeak: 119-122
Biltzarra: Encuentro de Álgebra Computacional y Aplicaciones (17. 2022. Castelló de la Plana)
Mota: Biltzar ekarpena
Laburpena
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.