Abstract
Standard differential cryptanalysis uses statistical dependencies between the difference of two plaintexts and the difference of the respective two ciphertexts to attack a cipher. Here we introduce polytopic cryptanalysis which considers interdependencies between larger sets of texts as they traverse through the cipher. We prove that the methodology of standard differential cryptanalysis can unambiguously be extended and transferred to the polytopic case including impossible differentials. We show that impossible polytopic transitions have generic advantages over impossible differentials. To demonstrate the practical relevance of the generalization, we present new low-data attacks on round-reduced DES and AES using impossible polytopic transitions that are able to compete with existing attacks, partially outperforming these.
| Original language | English |
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| Title of host publication | Advances in Cryptology – EUROCRYPT 2016 : Proceedings of the 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Part 1 |
| Editors | Marc Fischlin, Jean-Sébastien Coron |
| Publication date | 2016 |
| Pages | 214-239 |
| ISBN (Print) | 978-3-662-49889-7 |
| ISBN (Electronic) | 978-3-662-49890-3 |
| DOIs | |
| Publication status | Published - 2016 |
| Event | 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques - Vienna, Austria Duration: 8 May 2016 → 12 May 2016 Conference number: 35 http://ist.ac.at/eurocrypt2016/ |
Conference
| Conference | 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques |
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| Number | 35 |
| Country/Territory | Austria |
| City | Vienna |
| Period | 08/05/2016 → 12/05/2016 |
| Internet address |
| Series | Lecture Notes in Computer Science |
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| Volume | 9665 |
| ISSN | 0302-9743 |