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
ANTS-V Proceedings of the 5th International Symposium on Algorithmic Number Theory
ASIACRYPT '94 Proceedings of the 4th International Conference on the Theory and Applications of Cryptology: Advances in Cryptology
The Weil Pairing, and Its Efficient Calculation
Journal of Cryptology
Advances in Elliptic Curve Cryptography (London Mathematical Society Lecture Note Series)
Advances in Elliptic Curve Cryptography (London Mathematical Society Lecture Note Series)
Implementation of cryptosystems based on Tate pairing
Journal of Computer Science and Technology
Efficient Algorithms for Tate Pairing
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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
CT-RSA'05 Proceedings of the 2005 international conference on Topics in Cryptology
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Pairings on Hyperelliptic Curves with a Real Model
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
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
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
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In this paper we describe how to efficiently implement pairing calculation on supersingular genus 2 curves over prime fields. We find that, contrary to the results reported in [8], pairing calculation on supersingular genus 2 curves over prime fields is efficient and a viable candidate for the practical implementation of pairing-based cryptosystems. We also show how to eliminate divisions in an efficient manner when computing the Tate pairing, assuming an even embedding degree, and how this algorithm is useful for curves of genus greater than one.