Fast subgroup membership testings for $$\mathbb {G}_1$$, $$\mathbb {G}_2$$ and $$\mathbb {G}_T$$ on pairing-friendly curves-Reference-Cited by-同舟云学术

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Fast subgroup membership testings for $$\mathbb {G}_1$$, $$\mathbb {G}_2$$ and $$\mathbb {G}_T$$ on pairing-friendly curves

Published:2023-05-29 Issue:10 Volume:91 Page:3141-3166
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Dai Yu,Lin Kaizhan,Zhao Chang-An^ORCID,Zhou Zijian

Funder

Guangdong Major Project of Basic and Applied Basic Research

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s10623-023-01223-7.pdf

Reference48 articles.

1. Aranha D.F., Gouvêa C.P.L.: RELIC is an Efficient LIbrary for Cryptography. https://github.com/relic-toolkit/relic.

2. Aranha D.F., Pagnin E., Rodríguez-Henríquez F.: LOVE a pairing. In: Longa P., Ràfols C. (eds.) Progress in Cryptology—LATINCRYPT 2021, pp. 320–340. Springer, Cham (2021).

3. Aranha D.F., El Housni Y., Guillevic A.: A survey of elliptic curves for proof systems. Des. Codes Cryptogr. (2022). https://doi.org/10.1007/s10623-022-01135-y.

4. Balasubramanian R., Koblitz N.: The improbability that an elliptic curve has subexponential discrete log problem under the Menezes–Okamoto–Vanstone algorithm. J. Cryptol. 11(2), 141–145 (1998).

5. Barbulescu R., Duquesne S.: Updating key size estimations for pairings. J. Cryptol. 32(4), 1298–1336 (2019).

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