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

 but.committee doc. 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.defence The 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.jazyk angličtina (English) but.program Applied and Interdisciplinary Mathematics cs but.result práce byla úspěšně obhájena cs dc.contributor.advisor Aragona, Riccardo en dc.contributor.author Appah, Patrick en dc.contributor.referee Pavlík, Jan en dc.date.accessioned 2023-07-17T09:11:32Z dc.date.available 2023-07-17T09:11:32Z dc.date.created 2023 cs dc.description.abstract The 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.abstract The 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.mark B cs dc.identifier.citation APPAH, 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.other 149984 cs dc.identifier.uri http://hdl.handle.net/11012/213482 dc.language.iso en cs dc.publisher Vysoké učení technické v Brně. Fakulta strojního inženýrství cs dc.rights Standardní licenční smlouva - přístup k plnému textu bez omezení cs dc.subject Primitive groups en dc.subject cryptography en dc.subject group generated by the round functions en dc.subject AES en dc.subject key schedule en dc.subject invariant partitions. en dc.subject Primitive groups cs dc.subject cryptography cs dc.subject group generated by the round functions cs dc.subject AES cs dc.subject key schedule cs dc.subject invariant partitions. cs dc.title Group theoretical properties of the group generated by the action of the AES-128 key schedule en dc.title.alternative Group theoretical properties of the group generated by the action of the AES-128 key schedule cs dc.type Text cs dc.type.driver masterThesis en dc.type.evskp diplomová práce cs dcterms.dateAccepted 2023-06-14 cs dcterms.modified 2023-06-16-09:16:17 cs eprints.affiliatedInstitution.faculty Fakulta strojního inženýrství cs sync.item.dbid 149984 en sync.item.dbtype ZP en sync.item.insts 2023.07.17 11:11:32 en sync.item.modts 2023.07.17 10:03:01 en thesis.discipline bez specializace cs thesis.grantor Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky cs thesis.level Inženýrský cs thesis.name Ing. cs
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