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

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Titel: Group theoretical properties of the group generated by the action of the AES-128 key schedule
Autoren: Appah, Patrick
Weitere Verfasser: Aragona, Riccardo, Pavlík, Jan
Verlagsinformationen: Vysoké učení technické v Brně. Fakulta strojního inženýrství
Schlagwörter: Primitive groups, group generated by the round functions, cryptography, AES, invariant partitions, key schedule
Beschreibung: 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 .
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Publikationsart: Master thesis
Dateibeschreibung: application/pdf; text/html
Sprache: English
Zugangs-URL: http://hdl.handle.net/11012/213482
Dokumentencode: edsair.od......2852..e2bc8e4158fda1f95fc3242b8d533d8e
Datenbank: OpenAIRE
Beschreibung
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 .<br />B