1 K. Rubin, "Using Abelian Varieties to Improve Pairing-Based Cryptography"
2 J. Silverman, "The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics" Springer-Verlag 106-, 1986
3 I. Duursma, "Tate pairing implementation for hyperelliptic curves y2 = xp ¡ x + d, Advances in cryptology—ASIACRYPT 2003" Springer 2894 : 111-123, 2003
4 D. Mumford, "Tata Lectures on Theta. II, Jacobian theta functions and differential equations In: Progress in Mathematics" Birkhauser Boston, Inc. 43-, 1984
5 S. Galbraith, "Supersingular curves in cryptography, Advances in cryptology—ASIACRYPT 2001 (Gold Coast)" Springer 2248 : 495-513, 2001
6 D. Boneh, "Short signatures from the Weil pairing, Advances in cryptology—ASIACRYPT 2001 (Gold Coast)" Springer 2248 : 514-532, 2001
7 A. J. Menezes, "Reducing elliptic curve logarithms to logarithms in a finite field" 39 (39): 1639-1646, 1993
8 N. Koblitz, "Pairing-based cryptography at high security levels, Cryptography and coding" Springer 3796 : 13-36, 2005
9 P. S. L. M. Barreto, "On the selection of pairing-friendly groups, Selected areas in cryptography" Springer 3006 : 17-25, 2004
10 M. Katagi, "Novel efficient implementations of hyperelliptic curve cryptosystems using degenerate divisors, In Information Security Applications-WISA’2004" Springer 3325 : 345-359, 2005
1 K. Rubin, "Using Abelian Varieties to Improve Pairing-Based Cryptography"
2 J. Silverman, "The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics" Springer-Verlag 106-, 1986
3 I. Duursma, "Tate pairing implementation for hyperelliptic curves y2 = xp ¡ x + d, Advances in cryptology—ASIACRYPT 2003" Springer 2894 : 111-123, 2003
4 D. Mumford, "Tata Lectures on Theta. II, Jacobian theta functions and differential equations In: Progress in Mathematics" Birkhauser Boston, Inc. 43-, 1984
5 S. Galbraith, "Supersingular curves in cryptography, Advances in cryptology—ASIACRYPT 2001 (Gold Coast)" Springer 2248 : 495-513, 2001
6 D. Boneh, "Short signatures from the Weil pairing, Advances in cryptology—ASIACRYPT 2001 (Gold Coast)" Springer 2248 : 514-532, 2001
7 A. J. Menezes, "Reducing elliptic curve logarithms to logarithms in a finite field" 39 (39): 1639-1646, 1993
8 N. Koblitz, "Pairing-based cryptography at high security levels, Cryptography and coding" Springer 3796 : 13-36, 2005
9 P. S. L. M. Barreto, "On the selection of pairing-friendly groups, Selected areas in cryptography" Springer 3006 : 17-25, 2004
10 M. Katagi, "Novel efficient implementations of hyperelliptic curve cryptosystems using degenerate divisors, In Information Security Applications-WISA’2004" Springer 3325 : 345-359, 2005
11 S. Galbraith, "Implementing the Tate pairing, Algorithmic number theory (Sydney, 2002)" Springer 2369 : 324-337, 2002
12 Y. Choie, "Implementation of Tate pairing on hyperelliptic curves of genus 2, Information security and cryptology—ICISC 2003" Springer 2971 : 97-111, 2004
13 D. Boneh, "Identity-based encryption from the Weil pairing" 32 (32): 586-615, 2003
14 L. Chen, "Identity Based Authenticated Key Agreement Protocols from Pairings" Cryptology eprint Archives 184-, 2002
15 A.Weimerskirch, "Generic GF(2m) arithmetic in software and its application to ECC, Proceedings of ACISP 2003" Springer 2727 : 79-92, 2003
16 C. K. Yap, "Fundamental Problems of Algorithmic Algebra" Oxford University Press 2000
17 E. R. Verheul, "Evidence that XTR is more secure than supersingular elliptic curve cryptosystems, Advances in cryptology—EUROCRYPT 2001 (Innsbruck)" Springer 2045 : 195-210, 2001
18 P. S. L. M. Barreto, "Efficient algorithms for pairingbased cryptosystems, Advances in cryptology—CRYPTO 2002" Springer 2442 : 354-368, 2002
19 M. Scott, "Compressed pairings, Advances in cryptology—CRYPTO 2004" Springer 3152 : 140-156, 2004
20 P. S. L. M. Barreto, "C. O’hEigeartaigh, and M. Scott, Efficient pairing computation on supersingular abelian varieties" 42 (42): 239-271, 2007
21 R. Granger, "Ate pairing on hyperelliptic curves, Proceedings of Euro 2007" Springer 4515 : 430-447, 2007
22 N. Koblitz, "Algebraic Aspects of Cryptography In: Algorithms and Computation in Mathematics" Springer-Verlag 1998
23 G. Frey, "A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves" 62 (62): 865-874, 1994