Quantum codes and locally recoverable codes from evaluation codes
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/29747
comunitat-uji-handle3:10234/162741
comunitat-uji-handle4:
TESISMetadatos
Título
Quantum codes and locally recoverable codes from evaluation codesAutoría
Director/a
Hernando, Fernando; Galindo, CarlosPrograma de Doctorado
Programa de Doctorat en CiènciesÓrgano responsable
Universitat Jaume I. Escola de DoctoratFecha de defensa
2024-07-24Descripción
Doctorat internacional
Editor
Universitat Jaume IPalabras clave
Área de conocimiento
Páginas
198 p.Resumen
This PhD thesis addresses two current problems belonging to the fields of classical and quantum information theory. The first is the repair problem in distributed and cloud storage systems in the setting where multiple ... [+]
This PhD thesis addresses two current problems belonging to the fields of classical and quantum information theory. The first is the repair problem in distributed and cloud storage systems in the setting where multiple nodes may fail simultaneously. These codes are called (r,\delta)-locally recoverable codes. To handle it, we consider monomial-Cartesian codes, resulting in new (r,\delta)-locally recoverable codes. The other problem is the construction of good quantum error-correcting codes. Those we provide are quantum stabilizer codes derived from two families of classical codes: generalized (or twisted) monomial-Cartesian codes and evaluation codes at the roots of trace-depending polynomials. Both quantum code constructions have excellent parameters. [-]
Derechos de acceso
L'accés als continguts d'aquesta tesi queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-sa/4.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess