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The stream cipher RC4
dc.creatorHojsík, Michal
dc.date.accessioned2017-04-18T13:04:04Z
dc.date.available2017-04-18T13:04:04Z
dc.date.issued2009
dc.identifier.urihttp://hdl.handle.net/20.500.11956/21181
dc.description.abstractIn the present work we study a class of generalised inner states of the cipher RC4, the so-called persistent states. The RC4 stream cipher is the most widely used software-based stream cipher and the existence of such a state would be a significant weakness of the cipher. We describe the Tabular model and using the model we prove the periodicity of these states. Then we study a new type of relationship between the tabular model and the equivalences on linearly ordered sets and we prove the regularity of the matrix determined by such an equivalence. Afterwards we apply the obtained result to the theory of persistent states and we prove that there exists no reachable persistent k-state for k equal to 2, 3, 4 in the specific case. Moreover, we present some new unreachable persistent states. Finally, we indicate the cryptanalytical significance of the persistent states.en_US
dc.languageČeštinacs_CZ
dc.language.isocs_CZ
dc.publisherUniverzita Karlova, Matematicko-fyzikální fakultacs_CZ
dc.titleProudová šifra RC4cs_CZ
dc.typerigorózní prácecs_CZ
dcterms.created2009
dcterms.dateAccepted2009-05-19
dc.description.departmentDepartment of Algebraen_US
dc.description.departmentKatedra algebrycs_CZ
dc.description.facultyFaculty of Mathematics and Physicsen_US
dc.description.facultyMatematicko-fyzikální fakultacs_CZ
dc.identifier.repId72261
dc.title.translatedThe stream cipher RC4en_US
dc.identifier.aleph000855313
thesis.degree.nameRNDr.
thesis.degree.levelrigorózní řízenícs_CZ
thesis.degree.disciplineMatematické metody informační bezpečnostics_CZ
thesis.degree.disciplineMathematical methods of information securityen_US
thesis.degree.programMatematikacs_CZ
thesis.degree.programMathematicsen_US
uk.faculty-name.csMatematicko-fyzikální fakultacs_CZ
uk.faculty-name.enFaculty of Mathematics and Physicsen_US
uk.faculty-abbr.csMFFcs_CZ
uk.degree-discipline.csMatematické metody informační bezpečnostics_CZ
uk.degree-discipline.enMathematical methods of information securityen_US
uk.degree-program.csMatematikacs_CZ
uk.degree-program.enMathematicsen_US
thesis.grade.csProspělcs_CZ
thesis.grade.enPassen_US
uk.abstract.enIn the present work we study a class of generalised inner states of the cipher RC4, the so-called persistent states. The RC4 stream cipher is the most widely used software-based stream cipher and the existence of such a state would be a significant weakness of the cipher. We describe the Tabular model and using the model we prove the periodicity of these states. Then we study a new type of relationship between the tabular model and the equivalences on linearly ordered sets and we prove the regularity of the matrix determined by such an equivalence. Afterwards we apply the obtained result to the theory of persistent states and we prove that there exists no reachable persistent k-state for k equal to 2, 3, 4 in the specific case. Moreover, we present some new unreachable persistent states. Finally, we indicate the cryptanalytical significance of the persistent states.en_US
uk.publication-placePrahacs_CZ
uk.grantorUniverzita Karlova, Matematicko-fyzikální fakulta, Katedra algebrycs_CZ


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