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Paper: Quantum Cryptanalysis in the RAM Model: Claw-Finding Attacks on SIKE

Authors:
Samuel Jaques
John M. Schanck
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DOI: 10.1007/978-3-030-26948-7_2
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Abstract: We introduce models of computation that enable direct comparisons between classical and quantum algorithms. Incorporating previous work on quantum computation and error correction, we justify the use of the gate-count and depth-times-width cost metrics for quantum circuits. We demonstrate the relevance of these models to cryptanalysis by revisiting, and increasing, the security estimates for the Supersingular Isogeny Diffie–Hellman (SIDH) and Supersingular Isogeny Key Encapsulation (SIKE) schemes. Our models, analyses, and physical justifications have applications to a number of memory intensive quantum algorithms.
BibTeX
@article{crypto-2019-29855,
  title={Quantum Cryptanalysis in the RAM Model: Claw-Finding Attacks on SIKE},
  booktitle={Advances in Cryptology – CRYPTO 2019},
  series={Lecture Notes in Computer Science},
  publisher={Springer},
  volume={11692},
  pages={32-61},
  doi={10.1007/978-3-030-26948-7_2},
  author={Samuel Jaques and John M. Schanck},
  year=2019
}