Group theoretical properties of the group generated by the action of the AES-128 key schedule
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| Title: | Group theoretical properties of the group generated by the action of the AES-128 key schedule |
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| Authors: | Appah, Patrick |
| Contributors: | Aragona, Riccardo, Pavlík, Jan |
| Publisher Information: | Vysoké učení technické v Brně. Fakulta strojního inženýrství |
| Subject Terms: | Primitive groups, group generated by the round functions, cryptography, AES, invariant partitions, key schedule |
| Description: | 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 . B |
| Document Type: | Master thesis |
| File Description: | application/pdf; text/html |
| Language: | English |
| Access URL: | http://hdl.handle.net/11012/213482 |
| Accession Number: | edsair.od......2852..e2bc8e4158fda1f95fc3242b8d533d8e |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | 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 |
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