Articles producció científica> Enginyeria Informàtica i Matemàtiques

Common information, matroid representation, and secret sharing for matroid ports

  • Datos identificativos

    Identificador: imarina:9048282
    Autores:
    Bamiloshin, MichaelBen-Efraim, AnerFarras, OriolPadro, Carles
    Resumen:
    Linear information and rank inequalities as, for instance, Ingleton inequality, are useful tools in information theory and matroid theory. Even though many such inequalities have been found, it seems that most of them remain undiscovered. Improved results have been obtained in recent works by using the properties from which they are derived instead of the inequalities themselves. We apply here this strategy to the classification of matroids according to their representations and to the search for bounds on secret sharing for matroid ports.
  • Otros:

    Autor según el artículo: Bamiloshin, Michael; Ben-Efraim, Aner; Farras, Oriol; Padro, Carles;
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Bamiloshin, Michael Olugbenga / Farràs Ventura, Oriol
    Código de proyecto: Grant agreement No. 713679
    Palabras clave: Secret sharing Schemes Networks Matroid representation Linear programming Information inequalities Inequalities Common information Bounds
    Resumen: Linear information and rank inequalities as, for instance, Ingleton inequality, are useful tools in information theory and matroid theory. Even though many such inequalities have been found, it seems that most of them remain undiscovered. Improved results have been obtained in recent works by using the properties from which they are derived instead of the inequalities themselves. We apply here this strategy to the classification of matroids according to their representations and to the search for bounds on secret sharing for matroid ports.
    Áreas temáticas: Theoretical computer science Mathematics, applied Matemática / probabilidade e estatística Engenharias iv Engenharias iii Discrete mathematics and combinatorics Computer science, theory & methods Computer science applications Ciência da computação Astronomia / física Applied mathematics
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: michaelolugbenga.bamiloshin@urv.cat oriol.farras@urv.cat
    Identificador del autor: 0000-0002-4076-3833 0000-0002-7495-5980
    Fecha de alta del registro: 2024-07-27
    Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
    Programa de financiación: Martí i Franquès COFUND Doctoral Programme
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Designs Codes And Cryptography. 89 (1): 143-166
    Referencia de l'ítem segons les normes APA: Bamiloshin, Michael; Ben-Efraim, Aner; Farras, Oriol; Padro, Carles; (2021). Common information, matroid representation, and secret sharing for matroid ports. Designs Codes And Cryptography, 89(1), 143-166. DOI: 10.1007/s10623-020-00811-1
    Acrónimo: MFP
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2021
    Acción del progama de financiación: Marie Skłodowska-Curie Actions - European Union's Horizon 2020 research and innovation programme
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Applied Mathematics,Computer Science Applications,Computer Science, Theory & Methods,Discrete Mathematics and Combinatorics,Mathematics, Applied,Theoretical Computer Science
    Secret sharing
    Schemes
    Networks
    Matroid representation
    Linear programming
    Information inequalities
    Inequalities
    Common information
    Bounds
    Theoretical computer science
    Mathematics, applied
    Matemática / probabilidade e estatística
    Engenharias iv
    Engenharias iii
    Discrete mathematics and combinatorics
    Computer science, theory & methods
    Computer science applications
    Ciência da computação
    Astronomia / física
    Applied mathematics
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