The most important pre-quantum threat to AES-128 is the 1994 van Oorschot–Wiener “parallel rho method”, a low-communication parallel pre-quantum multi-target preimage-search algorithm. This algorithm uses a mesh of p small processors, each running for approximately 2128/pt fast steps, to find one of t independent AES keys k1, ⋯, kt, given the ciphertexts for a shared plaintext 0. NIST has claimed a high post-quantum security level for AES-128, starting from the following rationale: “Grover’s algorithm requires a long-running serial computation, which is difficult to implement in practice. In a realistic attack, one has to run many smaller instances of the algorithm in parallel, which makes the quantum speedup less dramatic.” NIST has also stated that resistance to multi-key attacks is desirable; but, in a realistic parallel setting, a straightforward multi-key application of Grover’s algorithm costs more than targeting one key at a time. This paper introduces a different quantum algorithm for multi-target preimage search. This algorithm shows, in the same realistic parallel setting, that quantum preimage search benefits asymptotically from having multiple targets. The new algorithm requires a revision of NIST’s AES-128, AES-192, and AES-256 security claims.
CITATION STYLE
Banegas, G., & Bernstein, D. J. (2018). Low-communication parallel quantum multi-target preimage search. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10719 LNCS, pp. 325–335). Springer Verlag. https://doi.org/10.1007/978-3-319-72565-9_16
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