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Exploiting quantum mechanisms, quantum attacks have the potential ability tobreak the cipher structure. Recently, Ito et al. proposed a quantum attack onFeistel-2* structure (Ito et al.'s attack) based onthe Q2 model. However, it isnot realistic since the quantum oracle needs to be accessed by the adversary,and the data complexityis high. To solve this problem, a quantumall-subkeys-recovery (ASR) attack based on multi-equations quantum claw-findingis proposed, which takes a more realistic model, the Q1 model, as the scenario,and only requires 3 plain-ciphertext pairs to quickly crack the 6-roundFeistel-2* structure. First, we proposed a multi-equations quantum claw-findingalgorithm to solve the claw problem of finding multiple equations. In addition,Grover's algorithm is used to speedup the rest subkeys recovery. Compared withIto et al.'s attack, the data complexity of our attack is reduced from O(2^n)to O(1), while the time complexity and memory complexity are also significantlyreduced.

Quantum All-Subkeys-Recovery Attacks on 6-round Feistel-2* Structure Based on Multi-Equations Quantum Claw Finding