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