Author, as appears in the article.: Bamiloshin, Michael; Ben-Efraim, Aner; Farras, Oriol; Padro, Carles;
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Bamiloshin, Michael Olugbenga / Farràs Ventura, Oriol
Project code: Grant agreement No. 713679
Keywords: Secret sharing Schemes Networks Matroid representation Linear programming Information inequalities Inequalities Common information Bounds
Abstract: 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.
Thematic Areas: 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
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: michaelolugbenga.bamiloshin@urv.cat oriol.farras@urv.cat
Author identifier: 0000-0002-4076-3833 0000-0002-7495-5980
Record's date: 2024-07-27
Papper version: info:eu-repo/semantics/acceptedVersion
Funding program: Martí i Franquès COFUND Doctoral Programme
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Designs Codes And Cryptography. 89 (1): 143-166
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
Acronym: MFP
Entity: Universitat Rovira i Virgili
Journal publication year: 2021
Funding program action: Marie Skłodowska-Curie Actions - European Union's Horizon 2020 research and innovation programme
Publication Type: Journal Publications
Repositori URV