Quantum codes and locally recoverable codes from evaluation codes
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/29747
comunitat-uji-handle3:10234/162741
comunitat-uji-handle4:
TESISMetadata
Title
Quantum codes and locally recoverable codes from evaluation codesAuthor (s)
Director
Hernando, Fernando; Galindo, CarlosDoctoral Studies
Programa de Doctorat en CiènciesResponsible entity
Universitat Jaume I. Escola de DoctoratDate of defense
2024-07-24Description
Doctorat internacional
Publisher
Universitat Jaume ISubject
Keywords
Pages
198 p.Abstract
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. [-]
Rights
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