Doubly extended codes for general metrics

• Umberto Martinez-Penas ^[1]
  1. [1] Universidad de Valladolid

     Universidad de Valladolid

     Valladolid, España

     
• Localización: EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones / coord. por Carlos Galindo Pastor , Philippe Giménez , Fernando Javier Hernando Carrillo , F. Monserrat Delpalillo , Julio José Moyano Fernández, 2023, ISBN 978-84-19647-46-7, págs. 119-122
• Idioma: inglés
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• Resumen

  • 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.