Group theoretical properties of the group generated by the action of the AES-128 key schedule

but.committeedoc. Ing. Luděk Nechvátal, Ph.D. (předseda) prof. RNDr. Josef Šlapal, CSc. (místopředseda) doc. RNDr. Jiří Tomáš, Dr. (člen) doc. Ing. Jiří Šremr, Ph.D. (člen) prof. RNDr. Miloslav Druckmüller, CSc. (člen) prof. Bruno Rubino (člen) prof. Giuli Massimiliano (člen) prof. Lattanzio Corrado (člen)cs
but.defenceThe student introduced his diploma thesis to the committee members and explained the fundamentals of his topic called Group theoretical properties of the group generated by the action of the AES-128 key schedule. The review and the opponent's review was read, too. The student answered the opponent's question well.cs
but.jazykangličtina (English)
but.programApplied and Interdisciplinary Mathematicscs
but.resultpráce byla úspěšně obhájenacs
dc.contributor.advisorAragona, Riccardoen
dc.contributor.authorAppah, Patricken
dc.contributor.refereePavlík, Janen
dc.date.accessioned2023-07-17T09:11:32Z
dc.date.available2023-07-17T09:11:32Z
dc.date.created2023cs
dc.description.abstractThe AES key scheduling algorithm selects the round keys which are xor-ed with the partially encrypted state in each iteration. In this work, we examine the group that arises from the AES-128 key scheduling operation. We show that the smallest group _AES containing and all translations of the message space is primitive. This implies that we cannot have a linear partition of the message space that is invariant under the action of _AES .en
dc.description.abstractThe AES key scheduling algorithm selects the round keys which are xor-ed with the partially encrypted state in each iteration. In this work, we examine the group that arises from the AES-128 key scheduling operation. We show that the smallest group _AES containing and all translations of the message space is primitive. This implies that we cannot have a linear partition of the message space that is invariant under the action of _AES .cs
dc.description.markBcs
dc.identifier.citationAPPAH, P. Group theoretical properties of the group generated by the action of the AES-128 key schedule [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2023.cs
dc.identifier.other149984cs
dc.identifier.urihttp://hdl.handle.net/11012/213482
dc.language.isoencs
dc.publisherVysoké učení technické v Brně. Fakulta strojního inženýrstvícs
dc.rightsStandardní licenční smlouva - přístup k plnému textu bez omezenícs
dc.subjectPrimitive groupsen
dc.subjectcryptographyen
dc.subjectgroup generated by the round functionsen
dc.subjectAESen
dc.subjectkey scheduleen
dc.subjectinvariant partitions.en
dc.subjectPrimitive groupscs
dc.subjectcryptographycs
dc.subjectgroup generated by the round functionscs
dc.subjectAEScs
dc.subjectkey schedulecs
dc.subjectinvariant partitions.cs
dc.titleGroup theoretical properties of the group generated by the action of the AES-128 key scheduleen
dc.title.alternativeGroup theoretical properties of the group generated by the action of the AES-128 key schedulecs
dc.typeTextcs
dc.type.drivermasterThesisen
dc.type.evskpdiplomová prácecs
dcterms.dateAccepted2023-06-14cs
dcterms.modified2023-06-16-09:16:17cs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
sync.item.dbid149984en
sync.item.dbtypeZPen
sync.item.insts2023.07.17 11:11:32en
sync.item.modts2023.07.17 10:03:01en
thesis.disciplinebez specializacecs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
thesis.levelInženýrskýcs
thesis.nameIng.cs
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