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