Autor según el artículo: Farràs O; Kaced T; Martín S; Padró C
Departamento: Enginyeria Informàtica i Matemàtiques
e-ISSN: 1557-9654
Autor/es de la URV: Farràs Ventura, Oriol
Palabras clave: Secret sharing schemes Rank inequalities Linear programming Information inequalities Common information
Resumen: © 1963-2012 IEEE. We present a new improvement in the linear programming technique to derive lower bounds on the information ratio of secret sharing schemes. We obtain non-Shannon-type bounds without using information inequalities explicitly. Our new technique makes it possible to determine the optimal information ratio of linear secret sharing schemes for all access structures on 5 participants and all graph-based access structures on 6 participants. In addition, new lower bounds are presented also for some small matroid ports and, in particular, the optimal information ratios of the linear secret sharing schemes for the ports of the Vamos matroid are determined.
Áreas temáticas: Matemática / probabilidade e estatística Library and information sciences Information systems Engineering, electrical & electronic Engenharias iv Engenharias iii Computer science, information systems Computer science applications Ciencias sociales Ciência da computação Astronomia / física
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 0018-9448
Direcció de correo del autor: oriol.farras@urv.cat
Identificador del autor: 0000-0002-7495-5980
Fecha de alta del registro: 2023-02-19
Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
Enlace a la fuente original: https://ieeexplore.ieee.org/document/9127978
Referencia al articulo segun fuente origial: Ieee Transactions On Information Theory. 66 (11): 7088-7100
Referencia de l'ítem segons les normes APA: Farràs O; Kaced T; Martín S; Padró C (2020). Improving the Linear Programming Technique in the Search for Lower Bounds in Secret Sharing. Ieee Transactions On Information Theory, 66(11), 7088-7100. DOI: 10.1109/TIT.2020.3005706
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
DOI del artículo: 10.1109/TIT.2020.3005706
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2020
Tipo de publicación: Journal Publications