The Diffie---Hellman problem and generalization of Verheul's theorem
Designs, Codes and Cryptography
Pairing'10 Proceedings of the 4th international conference on Pairing-based cryptography
A generalization of Verheul's theorem for some ordinary curves
Inscrypt'10 Proceedings of the 6th international conference on Information security and cryptology
Generalised jacobians in cryptography and coding theory
WAIFI'12 Proceedings of the 4th international conference on Arithmetic of Finite Fields
Inverting the final exponentiation of tate pairings on ordinary elliptic curves using faults
CHES'13 Proceedings of the 15th international conference on Cryptographic Hardware and Embedded Systems
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In this paper, we discuss some applications of the pairing inversion problem and outline some potential approaches for solving it. Our analysis of these approaches gives further evidence that pairing inversion is a difficult problem.