Development and analysis of massive parallelization of a lattice basis reduction algorithm-Reference-Cited by-同舟云学术

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Development and analysis of massive parallelization of a lattice basis reduction algorithm

Published:2023-04-03 Issue:1 Volume:41 Page:13-56
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

Tateiwa Nariaki^ORCID,Shinano Yuji,Yasuda Masaya,Kaji Shizuo,Yamamura Keiichiro,Fujisawa Katsuki

Funder

Core Research for Evolutional Science and Technology

German Research Foundation

Center of Innovation Program

Japan Society for the Promotion of Science

German Federal Ministry of Education and Research

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

https://link.springer.com/content/pdf/10.1007/s13160-023-00580-z.pdf

Reference48 articles.

1. Ajtai, M.: Generating hard instances of lattice problems. In: Symposium on Theory of Computing (STOC 1996), pp. 99–108. ACM (1996). https://doi.org/10.1145/237814.237838

2. Albrecht, M., Ducas, L.: Lattice attacks on NTRU and LWE: a history of refinements. Cryptology ePrint Archive: Report 2021/799 (2021)

3. Albrecht, M., Ducas, L., Herold, G., Kirshanova, E., Postlethwaite, E.W., Stevens, M.: The general sieve kernel and new records in lattice reduction. In: Advances in Cryptology–EUROCRYPT 2019, Lecture Notes in Computer Science, vol. 11477, pp. 717–746. Springer (2019). https://doi.org/10.1007/978-3-030-17656-3_25

4. Albrecht, M.R., Bai, S., Li, J., Rowell, J.: Lattice reduction with approximate enumeration oracles. In: Advances in Cryptology–CRYPTO 2021, Lecture Notes in Computer Science, vol. 12826, pp. 732–759. Springer (2021). https://doi.org/10.1007/978-3-030-84245-1_25

5. Albrecht, M.R., Curtis, B.R., Deo, A., Davidson, A., Player, R., Postlethwaite, E.W., Virdia, F., Wunderer, T.: Estimate all the LWE, NTRU schemes! In: Security and Cryptography for Networks (SCN 2018), Lecture Notes in Computer Science, vol. 11035, pp. 351–367 (2018). https://doi.org/10.1007/978-3-319-98113-0_19

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