Group theoretical properties of the group generated by the action of the AES-128 key schedule
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Date
Authors
Appah, Patrick
Advisor
Referee
Mark
B
Journal Title
Journal ISSN
Volume Title
Publisher
Vysoké učení technické v Brně. Fakulta strojního inženýrství
ORCID
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 .
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 .
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 .
Description
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.
Document type
Document version
Date of access to the full text
Language of document
en
Study field
bez specializace
Comittee
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)
Date of acceptance
2023-06-14
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.
Result of defence
práce byla úspěšně obhájena