Improved Meet-in-the-Middle Attacks on Reduced-Round Camellia-192/256

Camellia is one of the widely used block ciphers, which has been selected as an international standard by ISO/IEC. In this paper, we focus on the key-recovery attacks on reduced-round Camellia-192/256 with meet-in-the-middle methods. We utilize multiset and the differential enumeration methods which are popular to analyse AES in the recent to attack Camellia-192/256. We propose a 7-round property for Camellia-192, and achieve a 12-round attack with $2^{180}$ encryptions, $2^{113}$ chosen plaintexts and $2^{130}$ 128-bit memories. Furthermore, we present an 8-round property for Camellia-256, and apply it to break the 13-round Camellia-256 with $2^{232.7}$ encryptions, $2^{113}$ chosen ciphertexts and $2^{227}$ 128-bit memories

The (related-key) impossible boomerang attack and its application to the AES block cipher

The Advanced Encryption Standard (AES) is a 128-bit block cipher with a user key of 128, 192 or 256 bits, released by NIST in 2001 as the next-generation data encryption standard for use in the USA. It was adopted as an ISO international standard in 2005. Impossible differential cryptanalysis and the boomerang attack are powerful variants of differential cryptanalysis for analysing the security of a block cipher. In this paper, building on the notions of impossible differential cryptanalysis and the boomerang attack, we propose a new cryptanalytic technique, which we call the impossible boomerang attack, and then describe an extension of this attack which applies in a related-key attack scenario. Finally, we apply the impossible boomerang attack to break 6-round AES with 128 key bits and 7-round AES with 192/256 key bits, and using two related keys we apply the related-key impossible boomerang attack to break 8-round AES with 192 key bits and 9-round AES with 256 key bits. In the two-key related-key attack scenario, our results, which were the first to achieve this amount of attacked rounds, match the best currently known results for AES with 192/256 key bits in terms of the numbers of attacked rounds. The (related-key) impossible boomerang attack is a general cryptanalytic technique, and can potentially be used to cryptanalyse other block ciphers

Polytopic Cryptanalysis

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