[Resource Topic] 2024/1304: Improved Algebraic Attacks on Round-Reduced LowMC with Single-Data Complexity

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Title:
Improved Algebraic Attacks on Round-Reduced LowMC with Single-Data Complexity

Authors: Xingwei Ren, Yongqiang Li, Mingsheng Wang

Abstract:

Recently, Picnic3 has introduced several alternative LowMC instances, which prompts the cryptanalysis competition for LowMC. In this paper, we provide new solutions to the competition with full S-box layers under single-data complexity. First, we present a new guess-and-determine attack framework that achieves the best trade-off in complexity, while effectively enhancing two algorithms applicable to 2-round LowMC cryptanalysis. Next, we present a new meet-in-the-middle attack framework for 2-/3-round LowMC, which can gradually reduce the number of variables and narrow down the range of candidate keys in stages. As a result, our 3-stage MITM attacks have both lower time complexity and memory complexity than the best previous 2-round attacks proposed by Banik et al. at ASIACRYPT 2021, with memory reduced drastically by a factor of 2^{29.7} \sim 2^{70.4} .

ePrint: https://eprint.iacr.org/2024/1304

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