Original title: Group theoretical properties of the group generated by the action of the AES-128 key schedule
Translated title: Group theoretical properties of the group generated by the action of the AES-128 key schedule
Authors: Appah, Patrick ; Pavlík, Jan (referee) ; Aragona, Riccardo (advisor)
Document type: Master’s theses
Year: 2023
Language: eng
Publisher: Vysoké učení technické v Brně. Fakulta strojního inženýrství
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 .
Keywords: AES; cryptography; group generated by the round functions; invariant partitions.; key schedule; Primitive groups; AES; cryptography; group generated by the round functions; invariant partitions.; key schedule; Primitive groups

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/213482

Permalink: http://www.nusl.cz/ntk/nusl-531697


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Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Master’s theses