Effective Pairings in Isogeny-based Cryptography

ePrint Report: Effective Pairings in Isogeny-based Cryptography

Krijn Reijnders

Pairings are useful tools in isogeny-based cryptography and have been used in SIDH/SIKE and other protocols. As a general technique, pairings can be used to move problems about points on curves to elements in finite fields. However, until now, their applicability was limited to curves over fields with primes of a specific shape and pairings seemed too costly for the type of primes that are nowadays often used in isogeny-based cryptography. …

cryptography eprint report general problems protocols report sike tools