重温 AES 上的悠悠球技巧

IF 1.7 Q3 COMPUTER SCIENCE, SOFTWARE ENGINEERING IACR Transactions on Symmetric Cryptology Pub Date : 2023-12-08 DOI:10.46586/tosc.v2023.i4.28-57
Sandip Kumar Mondal, Mostafizar Rahman, Santanu Sarkar, Avishek Adhikari
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引用次数: 0

摘要

在 2017 年亚洲加密大会上,Rønjom 等人在题为 "AES 的悠悠诀窍 "的工作中展示了 AES 不同轮数(从 3 轮到 6 轮不等)的密钥独立区分器。据报告,这些区分器的数据复杂度分别为 3、4、225.8 和 2122.83。在这项工作中,我们重新审视了这些与密钥无关的区分算法,并分析了它们的成功概率。我们发现,在 Rønjom 等人的论文中提供的针对 5 轮和 6 轮 AES 的区分算法在所提出的数据复杂度下是无效的。我们通过深入的理论分析发现,在前面提到的相应数据复杂度下,这些区分算法对 5 轮和 6 轮 AES 的成功概率约为 0.5。根据我们的理论发现,我们修订了 5 轮 AES 的区分算法。我们修订后的算法对 5 轮 AES 的成功概率分别约为 0.55 和 0.81,数据复杂度分别为 229.95 和 230.65。我们还进行了实验测试来验证我们的理论发现,这进一步支持了我们的发现。此外,我们还从理论上证明,将 6 轮 AES 的区分器成功概率从 0.50000 提高到 0.50004 需要 2129.15 的数据复杂度。这一发现使 Rønjom 等人报告的 6 轮 AES 识别器失效。
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Revisiting Yoyo Tricks on AES
At Asiacrypt 2017, Rønjom et al. presented key-independent distinguishers for different numbers of rounds of AES, ranging from 3 to 6 rounds, in their work titled “Yoyo Tricks with AES”. The reported data complexities for these distinguishers were 3, 4, 225.8, and 2122.83, respectively. In this work, we revisit those key-independent distinguishers and analyze their success probabilities.We show that the distinguishing algorithms provided for 5 and 6 rounds of AES in the paper of Rønjom et al. are ineffective with the proposed data complexities. Our thorough theoretical analysis has revealed that the success probability of these distinguishers for both 5-round and 6-round AES is approximately 0.5, with the corresponding data complexities mentioned earlier.We investigate the reasons behind this seemingly random behavior of those reported distinguishers. Based on our theoretical findings, we have revised the distinguishing algorithm for 5-round AES. Our revised algorithm demonstrates success probabilities of approximately 0.55 and 0.81 for 5-round AES, with data complexities of 229.95 and 230.65, respectively. We have also conducted experimental tests to validate our theoretical findings, which further support our findings.Additionally, we have theoretically demonstrated that improving the success probability of the distinguisher for 6-round AES from 0.50000 to 0.50004 would require a data complexity of 2129.15. This finding invalidates the reported distinguisher by Rønjom et al. for 6-round AES.
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来源期刊
IACR Transactions on Symmetric Cryptology
IACR Transactions on Symmetric Cryptology Mathematics-Applied Mathematics
CiteScore
5.50
自引率
22.90%
发文量
37
期刊最新文献
On Large Tweaks in Tweakable Even-Mansour with Linear Tweak and Key Mixing Revisiting Yoyo Tricks on AES Key Committing Security of AEZ and More Related-Key Differential Analysis of the AES Propagation of Subspaces in Primitives with Monomial Sboxes: Applications to Rescue and Variants of the AES
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