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 |