Revisiting subgroup membership testing on pairing-friendly curves via the Tate pairing

Y Dai, D He, D Koshelev, C Peng, Z Yang - Cryptology ePrint Archive, 2024 - eprint.iacr.org
In 2023, Koshelev proposed an efficient method for subgroup membership testing on a list of
non-pairing-friendly curves via the Tate pairing. In fact, this method can also be applied to …

An algebraic point of view on the generation of pairing-friendly curves

J Gasnier, A Guillevic - 2023 - hal.science
In 2010, Freeman, Scott, and Teske published a well-known taxonomy compiling the best
known families of pairing-friendly elliptic curves. Since then, the research effort mostly …

Efficient Implementation of Super-optimal Pairings on Curves with Small Prime Fields at the 192-bit Security Level

J Lin, CA Zhao, Y Zheng - Cryptology ePrint Archive, 2024 - eprint.iacr.org
For many pairing-based cryptographic protocols such as Direct Anonymous Attestation
(DAA) schemes, the arithmetic on the first pairing subgroup $\mathbb {G} _1 $ is more …