Pairing-Friendly Elliptic Curves: Revisited Taxonomy, Attacks and Security Concern. (arXiv:2212.01855v1 [cs.CR])

Major families of pairing-friendly elliptic curves, including BN, BLS12,
BLS24, KSS16, and KSS18 have recently been vulnerable to number field sieve
(NFS) attacks. Due to the recent attacks on discrete logs in F_(q^k ),
selecting such curves became relevant again. This paper revisited the topic of
selecting pairing-friendly curves at different security levels. First, we
expanded the classification given by Freeman et al. [1] by identifying new
families that were not previously mentioned, such as a complete family with
variable …

attacks elliptic security