Some optimal (r, δ)-locally recoverable codes

• Martin-Cruz, H. ^[1]
  1. [1] Universitat Jaume I

     Universitat Jaume I

     Castellón, 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. 115-118
• Idioma: inglés
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• Resumen

  • We give several families of optimal (r, δ)-locally recoverable codes. Most of the constructions of these codes are new, and they are designed for repairing one position by accessing at most r positions but tolerating other δ − 1 erasures. These results were obtained jointly with C. Galindo and F. Hernando.