Journal of Cryptology
A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves
Mathematics of Computation
Identity-Based Encryption from the Weil Pairing
SIAM Journal on Computing
Efficient Algorithms for Pairing-Based Cryptosystems
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Supersingular Abelian Varieties in Cryptology
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
Supersingular Curves in Cryptography
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
ANTS-V Proceedings of the 5th International Symposium on Algorithmic Number Theory
Efficient Implementation of Pairing-Based Cryptosystems
Journal of Cryptology
A One Round Protocol for Tripartite Diffie–Hellman
Journal of Cryptology
Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems
Journal of Cryptology
The Weil Pairing, and Its Efficient Calculation
Journal of Cryptology
Elliptic Curves Suitable for Pairing Based Cryptography
Designs, Codes and Cryptography
Efficient pairing computation on supersingular Abelian varieties
Designs, Codes and Cryptography
Ate Pairing on Hyperelliptic Curves
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Pairing calculation on supersingular genus 2 curves
SAC'06 Proceedings of the 13th international conference on Selected areas in cryptography
Constructing elliptic curves with prescribed embedding degrees
SCN'02 Proceedings of the 3rd international conference on Security in communication networks
Efficient doubling on genus two curves over binary fields
SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
Fast bilinear maps from the tate-lichtenbaum pairing on hyperelliptic curves
ANTS'06 Proceedings of the 7th international conference on Algorithmic Number Theory
High security pairing-based cryptography revisited
ANTS'06 Proceedings of the 7th international conference on Algorithmic Number Theory
Novel efficient implementations of hyperelliptic curve cryptosystems using degenerate divisors
WISA'04 Proceedings of the 5th international conference on Information Security Applications
Some improved algorithms for hyperelliptic curve cryptosystems using degenerate divisors
ICISC'04 Proceedings of the 7th international conference on Information Security and Cryptology
Pairing-Based cryptography at high security levels
IMA'05 Proceedings of the 10th international conference on Cryptography and Coding
IEEE Transactions on Information Theory
Ordinary abelian varieties having small embedding degree
Finite Fields and Their Applications
Constructing pairing-friendly genus 2 curves with ordinary Jacobians
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
Eta pairing computation on general divisors over hyperelliptic curves y2 = x7 - x ± 1
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
Homomorphic Encryption and Signatures from Vector Decomposition
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Generators for the l-Torsion Subgroup of Jacobians of Genus Two Curves
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Efficient and generalized pairing computation on Abelian varieties
IEEE Transactions on Information Theory
Efficiently computable distortion maps for supersingular curves
ANTS-VIII'08 Proceedings of the 8th international conference on Algorithmic number theory
IEEE Transactions on Information Theory
On the efficiency and security of pairing-based protocols in the type 1 and type 4 settings
WAIFI'10 Proceedings of the Third international conference on Arithmetic of finite fields
Faster pairing computation on genus 2 hyperelliptic curves
Information Processing Letters
Pairing'12 Proceedings of the 5th international conference on Pairing-Based Cryptography
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We survey recent research on pairings on hyperelliptic curves and present a comparison of the performance characteristics of pairings on elliptic curves and hyperelliptic curves. Our analysis indicates that hyperelliptic curves are not more efficient than elliptic curves for general pairing applications.