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

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Názov: Group theoretical properties of the group generated by the action of the AES-128 key schedule
Autori: Appah, Patrick
Prispievatelia: Aragona, Riccardo, Pavlík, Jan
Informácie o vydavateľovi: Vysoké učení technické v Brně. Fakulta strojního inženýrství
Predmety: Primitive groups, group generated by the round functions, cryptography, AES, invariant partitions, key schedule
Popis: 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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Druh dokumentu: Master thesis
Popis súboru: application/pdf; text/html
Jazyk: English
Prístupová URL adresa: http://hdl.handle.net/11012/213482
Prístupové číslo: edsair.od......2852..e2bc8e4158fda1f95fc3242b8d533d8e
Databáza: OpenAIRE
Popis
Abstrakt: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