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Trustworthiness (credibility) of provably secure cryptography
dc.contributor.advisorRudolf, Bohuslav
dc.creatorBarczi, Rudolf
dc.date.accessioned2021-03-24T10:06:10Z
dc.date.available2021-03-24T10:06:10Z
dc.date.issued2009
dc.identifier.urihttp://hdl.handle.net/20.500.11956/27423
dc.description.abstractIn the present work we study provable security in the random oracle model and the standard model using the OAEP cryptosystem as an example. We begin with general introduction to public-key cryptography. In the next chapter we trace the evolution of RSA-OAEP cryptosystem security proofs in the random oracle model from the original controversial proof of security from 1994 to the correct and technically challenging one from 2004. The third chapter is dedicated to the selected problematic aspects of RSA-OAEP practical security. The goal of the extensive fourth chapter is to present some of the most recent results regarding the security of RSA-OAEP in the standard model. The rst result from 2009 shows the fundamental impossibility of security proof construction in the sense of CCA2. The result from 2006, despite being positive (weak non-malleability of fully-instantiated OAEP), is of an arguable signi cance. In the end we mention some comments on the state-of-the-art provable security of RSA-OAEP.en_US
dc.languageČeštinacs_CZ
dc.language.isocs_CZ
dc.publisherUniverzita Karlova, Matematicko-fyzikální fakultacs_CZ
dc.titleDůvěryhodnost prokazatelně bezpečné kryptografiecs_CZ
dc.typediplomová prácecs_CZ
dcterms.created2009
dcterms.dateAccepted2009-09-22
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.repId49304
dc.title.translatedTrustworthiness (credibility) of provably secure cryptographyen_US
dc.contributor.refereeJoščák, Daniel
dc.identifier.aleph001139904
thesis.degree.nameMgr.
thesis.degree.levelnavazující magisterskécs_CZ
thesis.degree.disciplineMatematické metody informační bezpečnostics_CZ
thesis.degree.disciplineMathematical methods of information securityen_US
thesis.degree.programMathematicsen_US
thesis.degree.programMatematikacs_CZ
uk.thesis.typediplomová prácecs_CZ
uk.taxonomy.organization-csMatematicko-fyzikální fakulta::Katedra algebrycs_CZ
uk.taxonomy.organization-enFaculty of Mathematics and Physics::Department of Algebraen_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.csVýborněcs_CZ
thesis.grade.enExcellenten_US
uk.abstract.enIn the present work we study provable security in the random oracle model and the standard model using the OAEP cryptosystem as an example. We begin with general introduction to public-key cryptography. In the next chapter we trace the evolution of RSA-OAEP cryptosystem security proofs in the random oracle model from the original controversial proof of security from 1994 to the correct and technically challenging one from 2004. The third chapter is dedicated to the selected problematic aspects of RSA-OAEP practical security. The goal of the extensive fourth chapter is to present some of the most recent results regarding the security of RSA-OAEP in the standard model. The rst result from 2009 shows the fundamental impossibility of security proof construction in the sense of CCA2. The result from 2006, despite being positive (weak non-malleability of fully-instantiated OAEP), is of an arguable signi cance. In the end we mention some comments on the state-of-the-art provable security of RSA-OAEP.en_US
uk.file-availabilityV
uk.grantorUniverzita Karlova, Matematicko-fyzikální fakulta, Katedra algebrycs_CZ
thesis.grade.code1
dc.contributor.consultantTůma, Jiří
uk.publication-placePrahacs_CZ
uk.thesis.defenceStatusO
dc.identifier.lisID990011399040106986


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