-
2
-
-
11244253638
-
-
n). In: Application-Specific Systems, Architectures and Processors (ASAP), pp. 226-236. IEEE Press, Los Alamitos (2003)
-
n). In: Application-Specific Systems, Architectures and Processors (ASAP), pp. 226-236. IEEE Press, Los Alamitos (2003)
-
-
-
-
4
-
-
84937078021
-
Signed-Digit Number Representations for Fast Parallel Arithmetic
-
Avizienis, A.: Signed-Digit Number Representations for Fast Parallel Arithmetic. IRE Transactions on Electronic Computers 10(9), 389-400 (1961)
-
(1961)
IRE Transactions on Electronic Computers
, vol.10
, Issue.9
, pp. 389-400
-
-
Avizienis, A.1
-
5
-
-
0042649138
-
Some Operators for On-Line Radix-2 Computations
-
Bajard, J.-C., Duprat, J., Kla, S., Muller, J.-M.: Some Operators for On-Line Radix-2 Computations. Journal of Parallel and Distributed Computing 22(2), 336-345 (1994)
-
(1994)
Journal of Parallel and Distributed Computing
, vol.22
, Issue.2
, pp. 336-345
-
-
Bajard, J.-C.1
Duprat, J.2
Kla, S.3
Muller, J.-M.4
-
6
-
-
27244454939
-
Efficient Pairing Computation on Supersingular Abelian Varieties. In: Cryptology ePrint Archive
-
Report 2004/375
-
Barreto, P.S.L.M., Galbraith, S., ÓhÉigeartaigh, C., Scott, M.: Efficient Pairing Computation on Supersingular Abelian Varieties. In: Cryptology ePrint Archive, Report 2004/375 (2004)
-
(2004)
-
-
Barreto, P.S.L.M.1
Galbraith, S.2
ÓhÉigeartaigh, C.3
Scott, M.4
-
7
-
-
84937428623
-
Efficient Algorithms for Pairing-Based Cryptosystems
-
Yung, M, ed, CRYPTO 2002, Springer, Heidelberg
-
Barreto, P.S.L.M., Kim, H., Lynn, B., Scott, M.: Efficient Algorithms for Pairing-Based Cryptosystems. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 354-368. Springer, Heidelberg (2002)
-
(2002)
LNCS
, vol.2442
, pp. 354-368
-
-
Barreto, P.S.L.M.1
Kim, H.2
Lynn, B.3
Scott, M.4
-
8
-
-
33750839241
-
Parallel Hardware Architectures for the Cryptographic Tate Pairing
-
IEEE Press, Los Alamitos
-
Bertoni, G., Breveglieri, L., Fragneto, P., Pelosi, G.: Parallel Hardware Architectures for the Cryptographic Tate Pairing. In: Information Technology: New Generations (ITNG), pp. 186-191, IEEE Press, Los Alamitos (2006)
-
(2006)
Information Technology: New Generations (ITNG)
, pp. 186-191
-
-
Bertoni, G.1
Breveglieri, L.2
Fragneto, P.3
Pelosi, G.4
-
9
-
-
35248828050
-
-
m) Arithmetic Architectures for Cryptographic Applications. In: Joye, M. (ed.) CT-RSA 2003. LNCS, 2612, pp. 158175. Springer, Heidelberg (2003)
-
m) Arithmetic Architectures for Cryptographic Applications. In: Joye, M. (ed.) CT-RSA 2003. LNCS, vol. 2612, pp. 158175. Springer, Heidelberg (2003)
-
-
-
-
10
-
-
34548080459
-
An Algorithm for the ηT Pairing Calculation in Characteristic Three and its Hardware Implementation. In: Cryptology ePrint Archive
-
Report 2006/327
-
Beuchat, J.-L., Shirase, M., Takagi, T., Okamoto, E.: An Algorithm for the ηT Pairing Calculation in Characteristic Three and its Hardware Implementation. In: Cryptology ePrint Archive, Report 2006/327 (2006)
-
(2006)
-
-
Beuchat, J.-L.1
Shirase, M.2
Takagi, T.3
Okamoto, E.4
-
11
-
-
10444273896
-
Exponentiation cryptosystems on the IBM PC
-
Comba, P.G.: Exponentiation cryptosystems on the IBM PC. IBM Systems Journal 29(4), 526-538 (1990)
-
(1990)
IBM Systems Journal
, vol.29
, Issue.4
, pp. 526-538
-
-
Comba, P.G.1
-
12
-
-
27244454348
-
Pairing-Based Cryptographic Protocols: A Survey. In: Cryptology ePrint Archive
-
Report 2004/064
-
Dutta, R., Barua, R., Sarkar, P.: Pairing-Based Cryptographic Protocols: A Survey. In: Cryptology ePrint Archive, Report 2004/064 (2004)
-
(2004)
-
-
Dutta, R.1
Barua, R.2
Sarkar, P.3
-
13
-
-
0345490614
-
p - x + d
-
Laih, C.-S, ed, ASIACRYPT 2003, Springer, Heidelberg
-
p - x + d. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 111-123. Springer, Heidelberg (2003)
-
(2003)
LNCS
, vol.2894
, pp. 111-123
-
-
Duursma, I.1
Lee, H.2
-
14
-
-
3242671393
-
Field Inversion and Point Halving Revisited
-
Technical Report CORR 2003-18, University of Waterloo
-
Fong, K., Hankerson, D., López, J., Menezes, A.: Field Inversion and Point Halving Revisited. Technical Report CORR 2003-18, University of Waterloo (2003)
-
(2003)
-
-
Fong, K.1
Hankerson, D.2
López, J.3
Menezes, A.4
-
15
-
-
0012698396
-
-
Version 1.0.30, July 2005, Available for download at
-
Gaisler, J.: The LEON-2 Processor User's Manual (Version 1.0.30) (July 2005), Available for download at http://www.gaisler.com
-
The LEON-2 Processor User's Manual
-
-
Gaisler, J.1
-
16
-
-
82955246861
-
Implementing the Tate pairing
-
Fieker, C, Kohel, D.R, eds, Algorithmic Number Theory ANTS-V, Springer, Heidelberg
-
Galbraith, S., Harrison, K., Soldera, D.: Implementing the Tate pairing. In: Fieker, C., Kohel, D.R. (eds.) Algorithmic Number Theory (ANTS-V). LNCS, vol. 2369, pp. 324-337. Springer, Heidelberg (2002)
-
(2002)
LNCS
, vol.2369
, pp. 324-337
-
-
Galbraith, S.1
Harrison, K.2
Soldera, D.3
-
17
-
-
27244436453
-
-
Grabher, P., Page, D.: Hardware Acceleration of the Tate Pairing in Characteristic Three. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, 3659, pp. 398-411. Springer, Heidelberg (2005)
-
Grabher, P., Page, D.: Hardware Acceleration of the Tate Pairing in Characteristic Three. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, vol. 3659, pp. 398-411. Springer, Heidelberg (2005)
-
-
-
-
18
-
-
33746734238
-
High Security Pairing-Based Cryptography Revisited
-
Hess, F, Pauli, S, Pohst, M, eds, Algorithmic Number Theory ANTS-VII, Springer, Heidelberg
-
Granger, R., Page, D., Smart, N.P.: High Security Pairing-Based Cryptography Revisited. In: Hess, F., Pauli, S., Pohst, M. (eds.) Algorithmic Number Theory (ANTS-VII). LNCS, vol. 4076, pp. 480-494. Springer, Heidelberg (2006)
-
(2006)
LNCS
, vol.4076
, pp. 480-494
-
-
Granger, R.1
Page, D.2
Smart, N.P.3
-
19
-
-
23044475619
-
Hardware and Software Normal Basis Arithmetic for Pairing Based Cryptography in Characteristic Three
-
Granger, R., Page, D., Stam, M.: Hardware and Software Normal Basis Arithmetic for Pairing Based Cryptography in Characteristic Three. IEEE Transactions on Computers 54(7), 852-860 (2005)
-
(2005)
IEEE Transactions on Computers
, vol.54
, Issue.7
, pp. 852-860
-
-
Granger, R.1
Page, D.2
Stam, M.3
-
20
-
-
84944891917
-
-
m). In: Koç, Ç.K., Naccache, D., Paar, C. (eds.) CHES 2001. LNCS, 2162, pp. 202-218. Springer, Heidelberg (2001)
-
m). In: Koç, Ç.K., Naccache, D., Paar, C. (eds.) CHES 2001. LNCS, vol. 2162, pp. 202-218. Springer, Heidelberg (2001)
-
-
-
-
21
-
-
11244310949
-
Architectural Support for Arithmetic in Optimal Extension Fields
-
IEEE Press, Los Alamitos
-
Großschädl, J., Kumar, S., Paar, C.: Architectural Support for Arithmetic in Optimal Extension Fields. In: Application-Specific Systems, Architectures and Processors (ASAP), pp. 111-124. IEEE Press, Los Alamitos (2004)
-
(2004)
Application-Specific Systems, Architectures and Processors (ASAP)
, pp. 111-124
-
-
Großschädl, J.1
Kumar, S.2
Paar, C.3
-
22
-
-
33750709739
-
-
m). In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, 3156, pp. 133-147. Springer, Heidelberg (2004)
-
m). In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol, 3156, pp. 133-147. Springer, Heidelberg (2004)
-
-
-
-
23
-
-
38149113740
-
Cryptography Instruction Set Extensions to the SPARC V8 Architecture
-
Preprint submitted for publication
-
Großschädl, J., Tillich, S., Szekely, A.: Cryptography Instruction Set Extensions to the SPARC V8 Architecture. Preprint (submitted for publication, 2007)
-
(2007)
-
-
Großschädl, J.1
Tillich, S.2
Szekely, A.3
-
24
-
-
11244267013
-
-
Springer, Heidelberg
-
Hankerson, D.R., Menezes, A.J., Vanstone, S.A.: Guide to Elliptic Curve Cryptography. Springer, Heidelberg (2004)
-
(2004)
Guide to Elliptic Curve Cryptography
-
-
Hankerson, D.R.1
Menezes, A.J.2
Vanstone, S.A.3
-
25
-
-
0037743010
-
Software Implementation of Finite Fields of Characteristic Three, for use in Pairing Based Cryptosystems
-
Harrison, K., Page, D., Smart, N.P.: Software Implementation of Finite Fields of Characteristic Three, for use in Pairing Based Cryptosystems. LMS Journal of Computation and Mathematics 5(1), 181-193 (2002)
-
(2002)
LMS Journal of Computation and Mathematics
, vol.5
, Issue.1
, pp. 181-193
-
-
Harrison, K.1
Page, D.2
Smart, N.P.3
-
26
-
-
33846452379
-
The Eta Pairing Revisited
-
Hess, F., Smart, N.P., Vercauteren, F.: The Eta Pairing Revisited. Transactions on Information Theory 52, 4595-4602 (2006)
-
(2006)
Transactions on Information Theory
, vol.52
, pp. 4595-4602
-
-
Hess, F.1
Smart, N.P.2
Vercauteren, F.3
-
27
-
-
27244434197
-
-
Kerins, T., Marnane, W.P., Popovici, E.M., Barreto, P.S.L.M.: Efficient Hardware for the Tate Pairing Calculation in Characteristic Three. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, 3659, pp. 412-426. Springer, Heidelberg (2005)
-
Kerins, T., Marnane, W.P., Popovici, E.M., Barreto, P.S.L.M.: Efficient Hardware for the Tate Pairing Calculation in Characteristic Three. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, vol. 3659, pp. 412-426. Springer, Heidelberg (2005)
-
-
-
-
28
-
-
35048849905
-
-
Kerins, T., Popovici, E., Marnane, W.P.: Algorithms and Architectures for Use in FPGA Implementations of Identity Based Encryption Schemes. In: Becker, J., Platzner, M., Vernalde, S. (eds.) FPL 2004. LNCS, 3203, pp. 74-83. Springer, Heidelberg (2004)
-
Kerins, T., Popovici, E., Marnane, W.P.: Algorithms and Architectures for Use in FPGA Implementations of Identity Based Encryption Schemes. In: Becker, J., Platzner, M., Vernalde, S. (eds.) FPL 2004. LNCS, vol. 3203, pp. 74-83. Springer, Heidelberg (2004)
-
-
-
-
29
-
-
34547425787
-
-
Kumar, S., Paar, C.: Reconfigurable Instruction Set Extension for Enabling ECC on an 8-Bit Processor. In: Becker, J., Platzner, M., Vernalde, S. (eds.) FPL 2004. LNCS, 3203, pp. 586-595. Springer, Heidelberg (2004)
-
Kumar, S., Paar, C.: Reconfigurable Instruction Set Extension for Enabling ECC on an 8-Bit Processor. In: Becker, J., Platzner, M., Vernalde, S. (eds.) FPL 2004. LNCS, vol. 3203, pp. 586-595. Springer, Heidelberg (2004)
-
-
-
-
30
-
-
26444543201
-
-
Kwon, S.: Efficient Tate Pairing Computation for Elliptic Curves over Binary Fields. In: Boyd, C., González Nieto, J.M. (eds.) ACISP 2005. LNCS, 3574, pp. 134-145. Springer, Heidelberg (2005)
-
Kwon, S.: Efficient Tate Pairing Computation for Elliptic Curves over Binary Fields. In: Boyd, C., González Nieto, J.M. (eds.) ACISP 2005. LNCS, vol. 3574, pp. 134-145. Springer, Heidelberg (2005)
-
-
-
-
32
-
-
84966243285
-
Modular multiplication without trial division
-
Montgomery, P.L.: Modular multiplication without trial division. Mathematics of Computation 44(170), 519-521 (1985)
-
(1985)
Mathematics of Computation
, vol.44
, Issue.170
, pp. 519-521
-
-
Montgomery, P.L.1
-
34
-
-
35248887146
-
-
Page, D., Smart, N.P.: Hardware Implementation of Finite Fields of Characteristic Three. In: Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, 2523, pp. 529-539. Springer, Heidelberg (2003)
-
Page, D., Smart, N.P.: Hardware Implementation of Finite Fields of Characteristic Three. In: Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 529-539. Springer, Heidelberg (2003)
-
-
-
-
35
-
-
33750829177
-
An Embedded Processor for a Pairing-Based Cryptosystem
-
IEEE Press, Los Alamitos
-
Ronan, R., ÓhÉigeartaigh, C., Murphy, C., Scott, M., Kerins, T., Marnane, W.P.: An Embedded Processor for a Pairing-Based Cryptosystem. In: Information Technology: New Generations (ITNG), pp. 192-197. IEEE Press, Los Alamitos (2006)
-
(2006)
Information Technology: New Generations (ITNG)
, pp. 192-197
-
-
Ronan, R.1
ÓhÉigeartaigh, C.2
Murphy, C.3
Scott, M.4
Kerins, T.5
Marnane, W.P.6
-
36
-
-
68549115194
-
-
m). In: Paar, C., Koç, Ç.K. (eds.) CHES 2000. LNCS, 1965, pp. 277-295. Springer, Heidelberg (2000)
-
m). In: Paar, C., Koç, Ç.K. (eds.) CHES 2000. LNCS, vol. 1965, pp. 277-295. Springer, Heidelberg (2000)
-
-
-
-
38
-
-
33750710411
-
-
Scott, M., Costigan, N., Abdulwahab, W.: Implementing Cryptographic Pairings on Smartcards. In: Goubin, L., Matsui, M. (eds.) CHES 2006. LNCS, 4249, pp. 134-147. Springer, Heidelberg (2006)
-
Scott, M., Costigan, N., Abdulwahab, W.: Implementing Cryptographic Pairings on Smartcards. In: Goubin, L., Matsui, M. (eds.) CHES 2006. LNCS, vol. 4249, pp. 134-147. Springer, Heidelberg (2006)
-
-
-
-
39
-
-
0026888035
-
Modular Multiplication Hardware Algorithms with a Redundant Representation and their Application to RSA Cryptosystem
-
Takagi, N., Yajima, S.: Modular Multiplication Hardware Algorithms with a Redundant Representation and their Application to RSA Cryptosystem. IEEE Transactions on Computers 41(7), 887-891 (1992)
-
(1992)
IEEE Transactions on Computers
, vol.41
, Issue.7
, pp. 887-891
-
-
Takagi, N.1
Yajima, S.2
-
40
-
-
0026910648
-
-
Takagi, N.: A Radix-4 Modular Multiplication Hardware Algorithm for Modular Exponentiation. IEEE Transactions on Computers 41(8), 949-956 (1992)
-
Takagi, N.: A Radix-4 Modular Multiplication Hardware Algorithm for Modular Exponentiation. IEEE Transactions on Computers 41(8), 949-956 (1992)
-
-
-
-
41
-
-
50049090355
-
Some Efficient Algorithms for the Final Exponentiation of ηT Pairing. In: Cryptology ePrint Archive
-
Report 2006/431
-
Shirase, M., Takagi, T., Okamoto, E.: Some Efficient Algorithms for the Final Exponentiation of ηT Pairing. In: Cryptology ePrint Archive, Report 2006/431 (2006)
-
(2006)
-
-
Shirase, M.1
Takagi, T.2
Okamoto, E.3
-
42
-
-
34548089294
-
FPGA Accelerated Tate Pairing Based Cryptosystems over Binary Fields. In: Cryptology ePrint Archive
-
Report 2006/179
-
Shu, C., Kwon, S., Gaj, K.: FPGA Accelerated Tate Pairing Based Cryptosystems over Binary Fields. In: Cryptology ePrint Archive, Report 2006/179 (2006)
-
(2006)
-
-
Shu, C.1
Kwon, S.2
Gaj, K.3
-
43
-
-
33749137885
-
-
SPARC International, Inc, Version 8 (August 1993) Available for download at
-
SPARC International, Inc. The SPARC Architecture Manual Version 8 (August 1993) Available for download at http://www.sparc.org/standards/V8.pdf
-
The SPARC Architecture Manual
-
-
|