Mutations in Brauer Configuration Algebras and Some of Its Cryptographic Applications

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dc.contributor.advisorAgustín, Moreno Cañadas
dc.contributor.authorCamacho Vega, Juan David
dc.contributor.researchgroupTerenufia-Unalspa
dc.date.accessioned2022-09-07T12:56:23Z
dc.date.available2022-09-07T12:56:23Z
dc.date.issued2021
dc.descriptiongráficas, tablasspa
dc.description.abstractLas mutaciones de las algebras de configuración de Brauer son exploradas y estudiadas como herramientas para obtener soluciones para algunas generalizaciones del problema de los McNuggets de pollo junto con una exposici´on de unos autómatas asociados a los conglomerados de configuración. Este acercamiento permite construir una descripción algebraica del itinerario de las claves AES por medio de un autómata no determinista adecuado. (Texto tomado de la fuente)spa
dc.description.abstractMutations on Brauer configurations are explored as tools to obtain a solution for some generalizations of the chicken McNugget problem, along with some associated automata to the configuration clusters. This approach allows us to give an algebraic description of the schedule of an AES key via some suitable non-deterministic automata (NFA)eng
dc.description.degreelevelMaestríaspa
dc.description.degreenameMagíster en Ciencias - Matemáticasspa
dc.description.researchareaTeoría de representación de algebrasspa
dc.format.extent58 páginasspa
dc.format.mimetypeapplication/pdfspa
dc.identifier.instnameUniversidad Nacional de Colombiaspa
dc.identifier.reponameRepositorio Institucional Universidad Nacional de Colombiaspa
dc.identifier.repourlhttps://repositorio.unal.edu.co/spa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/82265
dc.language.isoengspa
dc.publisherUniversidad nacional de Colombiaspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotáspa
dc.publisher.departmentDepartamento de Matemáticasspa
dc.publisher.facultyFacultad de Cienciasspa
dc.publisher.placeBogotá, Colombiaspa
dc.publisher.programBogotá - Ciencias - Maestría en Ciencias - Matemáticasspa
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseAtribución-CompartirIgual 4.0 Internacionalspa
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/spa
dc.subject.lembCriptografíaspa
dc.subject.lembSímbolosspa
dc.subject.lembSigns and symbolseng
dc.subject.proposalAdvanced Encryption Standard (AES)eng
dc.subject.proposalAutomataeng
dc.subject.proposalBrauer configuration algebraeng
dc.subject.proposalcryptographyeng
dc.subject.proposaldiophantine equationseng
dc.subject.proposalChicken McNugget Problem (CMP)eng
dc.subject.proposalpolytopeeng
dc.titleMutations in Brauer Configuration Algebras and Some of Its Cryptographic Applicationseng
dc.title.translatedMutaciones en algebras de configuración de Brauer y algunas aplicaciones a la criptografíaspa
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.redcolhttp://purl.org/redcol/resource_type/TMspa
dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
dcterms.audience.professionaldevelopmentEstudiantesspa
dcterms.audience.professionaldevelopmentInvestigadoresspa
dcterms.audience.professionaldevelopmentMaestrosspa
dcterms.audience.professionaldevelopmentPúblico generalspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa

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