-
1
-
-
84946840347
-
Short Signatures from the Weil Pairing
-
C. Boyd, ed, pp
-
D. Boneh, B. Lynn, and H. Shacham, "Short Signatures from the Weil Pairing," Advances in Cryptology - Proc. ASIACRYPT '01, C. Boyd, ed., pp. 514-532, 2001.
-
(2001)
Advances in Cryptology - Proc. ASIACRYPT '01
, pp. 514-532
-
-
Boneh, D.1
Lynn, B.2
Shacham, H.3
-
2
-
-
0027662341
-
Reducing Elliptic Curves Logarithms to Logarithms in a Finite Field
-
Sept
-
A. Menezes, T. Okamoto, and S.A. Vanstone, "Reducing Elliptic Curves Logarithms to Logarithms in a Finite Field," IEEE Trans. Information Theory, vol. 39, no. 5, pp. 1639-1646, Sept. 1993.
-
(1993)
IEEE Trans. Information Theory
, vol.39
, Issue.5
, pp. 1639-1646
-
-
Menezes, A.1
Okamoto, T.2
Vanstone, S.A.3
-
3
-
-
84968502759
-
A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
-
Apr
-
G. Frey and H.-G. Rück, "A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves," Math. Computation, vol. 62, no. 206, pp. 865-874, Apr. 1994.
-
(1994)
Math. Computation
, vol.62
, Issue.206
, pp. 865-874
-
-
Frey, G.1
Rück, H.-G.2
-
4
-
-
0036475666
-
A New Traitor Tracing
-
Feb
-
S. Mitsunari, R. Sakai, and M. Kasahara, "A New Traitor Tracing," IEICE Trans. Fundamentals, vol. E85-A, no. 2, pp. 481-484, Feb. 2002.
-
(2002)
IEICE Trans. Fundamentals
, vol.E85-A
, Issue.2
, pp. 481-484
-
-
Mitsunari, S.1
Sakai, R.2
Kasahara, M.3
-
5
-
-
2642549675
-
Cryptosystems Based on Pairing
-
Jan
-
R. Sakai, K. Ohgishi, and M. Kasahara, "Cryptosystems Based on Pairing," Proc. Symp. Cryptography and Information Security (SCIS '00), pp. 26-28, Jan. 2000.
-
(2000)
Proc. Symp. Cryptography and Information Security (SCIS '00)
, pp. 26-28
-
-
Sakai, R.1
Ohgishi, K.2
Kasahara, M.3
-
6
-
-
84946844750
-
A One Round Protocol for Tripartite Diffie-Hellman
-
W. Bosma, ed, pp
-
A. Joux, "A One Round Protocol for Tripartite Diffie-Hellman," Proc. Algorithmic Number Theory - ANTS IV, W. Bosma, ed., pp. 385-394, 2000.
-
(2000)
Proc. Algorithmic Number Theory - ANTS IV
, pp. 385-394
-
-
Joux, A.1
-
7
-
-
27244454348
-
-
cryptology ePrint Archive, Report, 64
-
R. Dutta, R. Barua, and P. Sarkar, Pairing-Based Cryptographic Protocols: A Survey, cryptology ePrint Archive, Report 2004/64, 2004.
-
(2004)
Pairing-Based Cryptographic Protocols: A Survey
-
-
Dutta, R.1
Barua, R.2
Sarkar, P.3
-
8
-
-
33746734238
-
High Security Pairing-Based Cryptography Revisited
-
F. Hess, S. Pauli, and M. Pohst, eds, pp
-
R. Granger, D. Page, and N.P. Smart, "High Security Pairing-Based Cryptography Revisited," Proc. Algorithmic Number Theory - ANTS VII F. Hess, S. Pauli, and M. Pohst, eds., pp. 480-494, 2006.
-
(2006)
Proc. Algorithmic Number Theory - ANTS VII
, pp. 480-494
-
-
Granger, R.1
Page, D.2
Smart, N.P.3
-
9
-
-
31344437951
-
Pairing-Based Cryptography at High Security Levels
-
N.P. Smart, ed, pp, Springer
-
N. Koblitz and A. Menezes, "Pairing-Based Cryptography at High Security Levels," Cryptography and Coding, N.P. Smart, ed., pp. 13-36, Springer, 2005.
-
(2005)
Cryptography and Coding
, pp. 13-36
-
-
Koblitz, N.1
Menezes, A.2
-
11
-
-
84937428623
-
Efficient Algorithms for Pairing-Based Cryptosystems
-
M. Yung, ed, pp
-
P.S.L.M. Barreto, H.Y. Kim, B. Lynn, and M. Scott, "Efficient Algorithms for Pairing-Based Cryptosystems," Advances in Cryptology - Proc. CRYPTO '02, M. Yung, ed., pp. 354-368, 2002.
-
(2002)
Advances in Cryptology - Proc. CRYPTO '02
, pp. 354-368
-
-
Barreto, P.S.L.M.1
Kim, H.Y.2
Lynn, B.3
Scott, M.4
-
12
-
-
23044474013
-
Evidence that XTR Is More Secure than Super-singular Elliptic Curve Cryptosystems
-
E.R. Verheul, "Evidence that XTR Is More Secure than Super-singular Elliptic Curve Cryptosystems," J. Cryptology, vol. 17, no. 4, pp. 277-296, 2004.
-
(2004)
J. Cryptology
, vol.17
, Issue.4
, pp. 277-296
-
-
Verheul, E.R.1
-
14
-
-
22144445920
-
The Weil Pairing, and Its Efficient Calculation
-
V.S. Miller, "The Weil Pairing, and Its Efficient Calculation," J. Cryptology, vol. 17, no. 4, pp. 235-261, 2004.
-
(2004)
J. Cryptology
, vol.17
, Issue.4
, pp. 235-261
-
-
Miller, V.S.1
-
15
-
-
82955246861
-
Implementing the Tate Pairing
-
C. Fieker and D. Kohel, eds, pp
-
S.D. Galbraith, K. Harrison, and D. Soldera, "Implementing the Tate Pairing," Algorithmic Number Theory - Proc. ANTS V, C. Fieker and D. Kohel, eds., pp. 324-337, 2002.
-
(2002)
Algorithmic Number Theory - Proc. ANTS V
, pp. 324-337
-
-
Galbraith, S.D.1
Harrison, K.2
Soldera, D.3
-
16
-
-
0345490614
-
-
p - x + d, Advances in Cryptology - Proc. ASIACRYPT '03, C.S. Laih, ed., pp. 111-123, 2003.
-
p - x + d," Advances in Cryptology - Proc. ASIACRYPT '03, C.S. Laih, ed., pp. 111-123, 2003.
-
-
-
-
17
-
-
26444543201
-
Efficient Tate Pairing Computation for Elliptic Curves over Binary Fields
-
C. Boyd and J.M. González Nieto, eds, pp
-
S. Kwon, "Efficient Tate Pairing Computation for Elliptic Curves over Binary Fields," Information Security and - Proc. ACISP '05, C. Boyd and J.M. González Nieto, eds., pp. 134-145, 2005.
-
(2005)
Information Security and - Proc. ACISP '05
, pp. 134-145
-
-
Kwon, S.1
-
18
-
-
33847698965
-
Efficient Pairing Computation on Supersingular Abelian Varieties
-
Mar
-
P.S.L.M. Barreto, S.D. Galbraith, C. Ó hÉigeartaigh, and M. Scott, "Efficient Pairing Computation on Supersingular Abelian Varieties," Designs, Codes and Cryptography, vol. 42, no. 3, pp. 239-271, Mar. 2007
-
(2007)
Designs, Codes and Cryptography
, vol.42
, Issue.3
, pp. 239-271
-
-
Barreto, P.S.L.M.1
Galbraith, S.D.2
hÉigeartaigh, C.O.3
Scott, M.4
-
19
-
-
27244436453
-
Hardware Acceleration of the Tate Pairing in Characteristic Three
-
J.R. Rao and B. Sunar, eds, pp
-
P. Grabher and D. Page, "Hardware Acceleration of the Tate Pairing in Characteristic Three," Cryptographic Hardware and Embedded Systems - Proc. CHES '05, J.R. Rao and B. Sunar, eds., pp. 398-411, 2005.
-
(2005)
Cryptographic Hardware and Embedded Systems - Proc. CHES '05
, pp. 398-411
-
-
Grabher, P.1
Page, D.2
-
20
-
-
27244434197
-
Efficient Hardware for the Tate Pairing Calculation in Characteristic Three
-
J.R. Rao and B. Sunar, eds, pp
-
T. Kerins, W.P. Marnane, E.M. Popovici, and P. Barreto, "Efficient Hardware for the Tate Pairing Calculation in Characteristic Three," Cryptographic Hardware and Embedded - Proc. CHES '05, J.R. Rao and B. Sunar, eds., pp. 412-426, 2005.
-
(2005)
Cryptographic Hardware and Embedded - Proc. CHES '05
, pp. 412-426
-
-
Kerins, T.1
Marnane, W.P.2
Popovici, E.M.3
Barreto, P.4
-
21
-
-
33750839241
-
Parallel Hardware Architectures for the Cryptographic Tate Pairing
-
G. Bertoni, L. Breveglieri, P. Fragneto, and G. Pelosi, "Parallel Hardware Architectures for the Cryptographic Tate Pairing," Proc. Third Int'l Conf. Information Technology: New Generations (ITNG), 2006.
-
(2006)
Proc. Third Int'l Conf. Information Technology: New Generations (ITNG)
-
-
Bertoni, G.1
Breveglieri, L.2
Fragneto, P.3
Pelosi, G.4
-
22
-
-
38149009094
-
FPGA Accelerated Tate Pairing Based Cryptosystem over Binary Fields
-
C. Shu, S. Kwon, and K. Gaj, "FPGA Accelerated Tate Pairing Based Cryptosystem over Binary Fields," Proc. IEEE Int'l Conf. Field Programmable Technology (FPT '06), pp. 173-180, 2006.
-
(2006)
Proc. IEEE Int'l Conf. Field Programmable Technology (FPT '06)
, pp. 173-180
-
-
Shu, C.1
Kwon, S.2
Gaj, K.3
-
23
-
-
52149093742
-
A Flexible Processor for the Characteristic 3 ηT Pairing
-
R. Ronan, C. Murphy, T. Kerins, C. Ó hÉigeartaigh, and P.S.L.M. Barreto, "A Flexible Processor for the Characteristic 3 ηT Pairing," Int'l J. High Performance Systems Architecture, vol. 1, no. 2, pp. 79-88, 2007.
-
(2007)
Int'l J. High Performance Systems Architecture
, vol.1
, Issue.2
, pp. 79-88
-
-
Ronan, R.1
Murphy, C.2
Kerins, T.3
hÉigeartaigh, C.O.4
Barreto, P.S.L.M.5
-
24
-
-
54049092249
-
-
J. Jiang, Bilinear Pairing (ηT Pairing) IP Core, technical report, Dept. of Computer Science, City Univ. of Hong Kong, May 2007.
-
J. Jiang, "Bilinear Pairing (ηT Pairing) IP Core," technical report, Dept. of Computer Science, City Univ. of Hong Kong, May 2007.
-
-
-
-
25
-
-
36048945144
-
An Algorithm for the ηT Pairing Calculation in Characteristic Three and Its Hardware Implementation
-
P. Kornerup and J.-M. Muller, eds, pp
-
J.-L. Beuchat, M. Shirase, T. Takagi, and E. Okamoto, "An Algorithm for the ηT Pairing Calculation in Characteristic Three and Its Hardware Implementation," Proc. 18th IEEE Symp. Computer Arithmetic (ARITH '07), P. Kornerup and J.-M. Muller, eds., pp. 97-104, 2007.
-
(2007)
Proc. 18th IEEE Symp. Computer Arithmetic (ARITH '07)
, pp. 97-104
-
-
Beuchat, J.-L.1
Shirase, M.2
Takagi, T.3
Okamoto, E.4
-
26
-
-
38149033707
-
A Coprocessor for the Final Exponentiation of the ηT Pairing in Characteristic Three
-
C. Carlet and B. Sunar, eds, pp
-
J.-L. Beuchat, N. Brisebarre, M. Shirase, T. Takagi, and E. Okamoto, "A Coprocessor for the Final Exponentiation of the ηT Pairing in Characteristic Three," Proc. First Int'l Workshop Arithmetic of Finite Fields (WAIFI '07), C. Carlet and B. Sunar, eds., pp. 25-39, 2007.
-
(2007)
Proc. First Int'l Workshop Arithmetic of Finite Fields (WAIFI '07)
, pp. 25-39
-
-
Beuchat, J.-L.1
Brisebarre, N.2
Shirase, M.3
Takagi, T.4
Okamoto, E.5
-
27
-
-
38049036820
-
Arithmetic Operators for Pairing-Based Cryptography
-
P. Paillier and I. Verbauwhede, eds, pp
-
J.-L. Beuchat, N. Brisebarre, J. Detrey, and E. Okamoto, "Arithmetic Operators for Pairing-Based Cryptography," Cryptographic Hardware and Embedded Systems - Proc. CHES '07, P. Paillier and I. Verbauwhede, eds., pp. 239-255, 2007.
-
(2007)
Cryptographic Hardware and Embedded Systems - Proc. CHES '07
, pp. 239-255
-
-
Beuchat, J.-L.1
Brisebarre, N.2
Detrey, J.3
Okamoto, E.4
-
28
-
-
33847730030
-
On Small Characteristic Algebraic Tori in Pairing-Based Cryptography
-
Mar
-
R. Granger, D. Page, and M. Stam, "On Small Characteristic Algebraic Tori in Pairing-Based Cryptography," LMS J. Computation and Math. vol. 9, pp. 64-85, Mar. 2006.
-
(2006)
LMS J. Computation and Math
, vol.9
, pp. 64-85
-
-
Granger, R.1
Page, D.2
Stam, M.3
-
29
-
-
37149044520
-
Some Efficient Algorithms for the Final Exponentiation of ηT Pairing
-
E. Dawson and D.S. Wong, eds, pp, May
-
M. Shirase, T. Takagi, and E. Okamoto, "Some Efficient Algorithms for the Final Exponentiation of ηT Pairing," Proc. Third Int'l Information Security Practice and Experience Conf. (ISPEC '07), E. Dawson and D.S. Wong, eds., pp. 254-268, May 2007.
-
(2007)
Proc. Third Int'l Information Security Practice and Experience Conf. (ISPEC '07)
, pp. 254-268
-
-
Shirase, M.1
Takagi, T.2
Okamoto, E.3
-
31
-
-
33749515474
-
m)
-
Sept
-
m)," Acta Applicandae Math., vol. 93, nos. 1-3, pp. 33-55, Sept. 2006.
-
(2006)
Acta Applicandae Math
, vol.93
, Issue.1-3
, pp. 33-55
-
-
Erdem, S.E.1
Yamk, T.2
Koç, C.K.3
-
32
-
-
33749536430
-
Efficient Hardware Implementation of Finite Fields with Applications to Cryptography
-
Sept
-
J. Guajardo, T. Güneysu, S. Kumar, C. Paar, and J. Pelzl, "Efficient Hardware Implementation of Finite Fields with Applications to Cryptography," Acta Applicandae Math., vol. 93, nos. 1-3, pp. 75-118, Sept. 2006.
-
(2006)
Acta Applicandae Math
, vol.93
, Issue.1-3
, pp. 75-118
-
-
Guajardo, J.1
Güneysu, T.2
Kumar, S.3
Paar, C.4
Pelzl, J.5
-
33
-
-
0032115233
-
Low Energy Digit-Serial/Parallel Finite Field Multipliers
-
July
-
L. Song and K.K. Parhi, "Low Energy Digit-Serial/Parallel Finite Field Multipliers," J. VLSI Signal Processing, vol. 19, no. 2, pp. 149-166, July, 1998.
-
(1998)
J. VLSI Signal Processing
, vol.19
, Issue.2
, pp. 149-166
-
-
Song, L.1
Parhi, K.K.2
-
34
-
-
33750829177
-
An Embedded Processor for a Pairing-Based Cryptosystem
-
R. Ronan, C. Ó hÉigeartaigh, C. Murphy, M. Scott, T. Kerins, and W. Marnane, "An Embedded Processor for a Pairing-Based Cryptosystem," Proc. Third Int'l Conf. Information Technology: New Generations (ITNG), 2006.
-
(2006)
Proc. Third Int'l Conf. Information Technology: New Generations (ITNG)
-
-
Ronan, R.1
hÉigeartaigh, C.O.2
Murphy, C.3
Scott, M.4
Kerins, T.5
Marnane, W.6
-
36
-
-
0042649138
-
Some Operators for On-Line Radix-2 Computations
-
J.-C. Bajard, J. Duprat, S. Kla, and J.-M. Muller, "Some Operators for On-Line Radix-2 Computations," J. Parallel and Distributed Computing vol. 22, pp. 336-345, 1994.
-
(1994)
J. Parallel and Distributed Computing
, vol.22
, pp. 336-345
-
-
Bajard, J.-C.1
Duprat, J.2
Kla, S.3
Muller, J.-M.4
-
38
-
-
2942696583
-
-
J. von zur Gathen and M. Nöcker, Computing Special Powers in Finite Fields, Math. Computation, 73, no. 247, pp. 1499-1523, 2003.
-
J. von zur Gathen and M. Nöcker, "Computing Special Powers in Finite Fields," Math. Computation, vol. 73, no. 247, pp. 1499-1523, 2003.
-
-
-
-
39
-
-
34548073336
-
A Parallel Version of the Itoh-Tsujii Multiplicative Inversion Algorithm
-
P.C. Diniz, E. Marques, K. Bertels, M.M. Fernandes, and J.M.P. Cardoso, eds, pp
-
F. Rodríguez-Henríquez, G. Morales-Luna, N.A. Saqib, and N. Cruz-Cortés, "A Parallel Version of the Itoh-Tsujii Multiplicative Inversion Algorithm," Reconfigurable Computing: Architectures, Tools and Applications - Proc. ARC '07, P.C. Diniz, E. Marques, K. Bertels, M.M. Fernandes, and J.M.P. Cardoso, eds., pp. 226-237, 2007.
-
(2007)
Reconfigurable Computing: Architectures, Tools and Applications - Proc. ARC '07
, pp. 226-237
-
-
Rodríguez-Henríquez, F.1
Morales-Luna, G.2
Saqib, N.A.3
Cruz-Cortés, N.4
-
42
-
-
54049130248
-
-
personal communication
-
A. Vithanage, personal communication.
-
-
-
Vithanage, A.1
-
43
-
-
35048849905
-
Algorithms and Architectures for Use in FPGA Implementations of Identity Based Encryption Schemes
-
J. Becker, M. Platzner, and S. Vernalde, eds, pp, Springer
-
T. Kerins, E. Popovici, and W. Marnane, "Algorithms and Architectures for Use in FPGA Implementations of Identity Based Encryption Schemes," Field-Programmable Logic and Applications, J. Becker, M. Platzner, and S. Vernalde, eds., pp. 74-83, Springer, 2004.
-
(2004)
Field-Programmable Logic and Applications
, pp. 74-83
-
-
Kerins, T.1
Popovici, E.2
Marnane, W.3
-
44
-
-
38549102459
-
6m
-
C. Adams, A. Miri, and M. Wiener, eds, pp
-
6m," Selected Areas in Cryptography - Proc. SAC '07, C. Adams, A. Miri, and M. Wiener, eds., pp. 173-183, 2007.
-
(2007)
Selected Areas in Cryptography - Proc. SAC '07
, pp. 173-183
-
-
Gorla, E.1
Puttmann, C.2
Shokrollahi, J.3
-
45
-
-
33846452379
-
The Eta Pairing Revisited
-
Oct
-
F. Hess, N. Smart, and F. Vercauteren, "The Eta Pairing Revisited," IEEE Trans. Information Theory, vol. 52, no. 10, pp. 4595-4602, Oct. 2006.
-
(2006)
IEEE Trans. Information Theory
, vol.52
, Issue.10
, pp. 4595-4602
-
-
Hess, F.1
Smart, N.2
Vercauteren, F.3
|