-
1
-
-
0000239575
-
Why You Cannot even Hope to use Gröbner Bases in Public Key Cryptography: An Open Letter to a Scientist Who Failed and a Challenge to Those Who Have Not Yet Failed
-
Boo Barkee, Deh Cac Can, Julia Ecks, Theo Moriarty, R. F. Ree: Why You Cannot Even Hope to use Gröbner Bases in Public Key Cryptography: An Open Letter to a Scientist Who Failed and a Challenge to Those Who Have Not Yet Failed, in Journal of Symbolic Computation 18, 1994, pp. 497-501
-
(1994)
Journal of Symbolic Computation
, vol.18
, pp. 497-501
-
-
Barkee, B.1
Can, D.C.2
Ecks, J.3
Moriarty, T.4
Ree, R.F.5
-
2
-
-
84946840347
-
Short signatures from the Weil pairing
-
Asiacrypt 2001, Springer
-
Dan Boneh, H. Shacham, and B. Lynn: Short signatures from the Weil pairing, Asiacrypt 2001, LNCS 2139, Springer, pp. 514-532.
-
LNCS
, vol.2139
, pp. 514-532
-
-
Boneh, D.1
Shacham, H.2
Lynn, B.3
-
3
-
-
85023205150
-
Matrix multiplication via arithmetic progressions
-
Don Coppersmith, Shmuel Winograd: Matrix multiplication via arithmetic progressions; J. Symbolic Computation (1990), 9, pp. 251-280.
-
(1990)
J. Symbolic Computation
, vol.9
, pp. 251-280
-
-
Coppersmith, D.1
Winograd, S.2
-
4
-
-
0003908675
-
-
Springer-Verlag
-
David Cox, John Little, Donal O'Shea: Ideals, Varieties, and Algorithms, Springer-Verlag, 1992
-
(1992)
Ideals, Varieties, and Algorithms
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
6
-
-
84929461941
-
How to achieve a McEliece-based Digital Signature Scheme
-
Asiacrypt 2001, Springer
-
Nicolas Courtois, Matthieu Finiasz and Nicolas Sendrier: How to achieve a McEliece-based Digital Signature Scheme; Asiacrypt 2001, LNCS2248, Springer, pp. 157-174. Available at http://www.cryptosystem.net/mceliece/.
-
LNCS
, vol.2248
, pp. 157-174
-
-
Courtois, N.1
Finiasz, M.2
Sendrier, N.3
-
7
-
-
77649327985
-
Efficient Algorithms for solving Overdefined Systems of Multivariate Polynomial Equations
-
Advances in Cryptology, Eurocrypt'2000, Springer-Verlag
-
Nicolas Courtois, Adi Shamir, Jacques Patarin, Alexander Klimov, Efficient Algorithms for solving Overdefined Systems of Multivariate Polynomial Equations, in Advances in Cryptology, Eurocrypt'2000, LNCS 1807, Springer-Verlag, pp. 392-407.
-
LNCS
, vol.1807
, pp. 392-407
-
-
Courtois, N.1
Shamir, A.2
Patarin, J.3
Klimov, A.4
-
8
-
-
84937560136
-
The security of Hidden Field Equations (HFE)
-
Cryptographers' Track RSA Conference 2001, San Francisco 8-12 Avril Springer-Verlag
-
Nicolas Courtois: The security of Hidden Field Equations (HFE); Cryptographers' Track RSA Conference 2001, San Francisco 8-12 Avril 2001, LNCS2020, Springer-Verlag, pp. 266-281.
-
(2001)
LNCS
, vol.2020
, pp. 266-281
-
-
Courtois, N.1
-
10
-
-
33645586143
-
-
PhD thesis, Paris 6 University, in French
-
Nicolas Courtois: La sécurité des primitives cryptographiques basées sur les problèmes algébriques multivariables MQ, IP, MinRank, et HFE, PhD thesis, Paris 6 University, 2001, in French. Available at http://www.minrank.org/phd.pdf.
-
(2001)
La Sécurité des Primitives Cryptographiques Basées Sur Les Problèmes Algébriques Multivariables MQ, IP, MinRank, et HFE
-
-
Courtois, N.1
-
11
-
-
35248882733
-
Generic Attacks and the Security of Quartz
-
PKC 2003, in these proceedings. A preliminary version was Royal Holloway, University of London, September
-
Nicolas Courtois: Generic Attacks and the Security of Quartz, PKC 2003, in these proceedings. A preliminary version was presented at the second Nessie workshop, Royal Holloway, University of London, September 2001.
-
(2001)
Second Nessie Workshop
-
-
Courtois, N.1
-
12
-
-
35248819443
-
Some new aspects concerning the Analysis of HFE type Cryptosystems
-
June 3-7, Porquerolles Island, France
-
Magnus Daum, Patrick Felke: Some new aspects concerning the Analysis of HFE type Cryptosystems; Presented at Yet Another Conference on Cryptography (YACC'02), June 3-7, 2002, Porquerolles Island, France.
-
(2002)
Yet Another Conference on Cryptography (YACC'02)
-
-
Daum, M.1
Felke, P.2
-
15
-
-
35248815260
-
Computing Gröbner basis without reduction to 0, technical report LIP6, in preparation, source: Private communication
-
Catania, Italy, 3-6 April
-
Jean-Charles Faugère: Computing Gröbner basis without reduction to 0, technical report LIP6, in preparation, source: private communication. Also presented at the Workshop on Applications of Commutative Algebra, Catania, Italy, 3-6 April 2002.
-
(2002)
Workshop on Applications of Commutative Algebra
-
-
Faugère, J.-C.1
-
17
-
-
84947255402
-
Cryptanalysis of SFLASH
-
Eurocrypt 2002, Springer
-
Henri Gilbert, Marine Minier: Cryptanalysis of SFLASH, Eurocrypt 2002, LNCS 2332, pp. 288-298, Springer.
-
LNCS
, vol.2332
, pp. 288-298
-
-
Gilbert, H.1
Minier, M.2
-
19
-
-
35248825287
-
Algebraic Aspects of CryptographySpringer-Verlag, ACM3
-
Neal Koblitz: "Algebraic Aspects of Cryptography"; Springer-Verlag, ACM3, 1998, Chapter 4: "Hidden Monomial Cryptosystems", pp. 80-102.
-
(1998)
Chapter 4: "Hidden Monomial Cryptosystems"
, pp. 80-102
-
-
Koblitz, N.1
-
20
-
-
85033537496
-
Public Quadratic Polynomial-tuples for efficient signature-verification and message-encryption
-
Springer-Verlag
-
Tsutomu Matsumoto, Hideki Imai: "Public Quadratic Polynomial-tuples for efficient signature-verification and message-encryption", Eurocrypt'88, Springer-Verlag 1998, pp. 419-453.
-
(1998)
Eurocrypt'88
, pp. 419-453
-
-
Matsumoto, T.1
Imai, H.2
-
21
-
-
84957640013
-
Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt'88
-
Springer-Verlag
-
Jacques Patarin: "Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt'88"; Crypto'95, Springer-Verlag, pp. 248-261.
-
Crypto'95
, pp. 248-261
-
-
Patarin, J.1
-
22
-
-
84947932132
-
Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): Two new families of Asymmetric Algorithms
-
Springer Verlag, The extended version
-
Jacques Patarin: "Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): two new families of Asymmetric Algorithms"; Eurocrypt'96, Springer Verlag, pp. 33-48. The extended version can be found at http://www.minrank.org/hfe.ps
-
Eurocrypt'96
, pp. 33-48
-
-
Patarin, J.1
-
23
-
-
35248850040
-
-
Mémoire d'habilitation à diriger des recherches de l'Université Paris 7
-
Jacques Patarin: La Cryptographie Multivariable;, Mémoire d'habilitation à diriger des recherches de l'Université Paris 7, 1999.
-
(1999)
La Cryptographie Multivariable
-
-
Patarin, J.1
-
24
-
-
84947768941
-
C*-+ and HM - Variations around two schemes of T. Matsumoto and H. Imai
-
Springer-Verlag
-
Jacques Patarin, Nicolas Courtois , Louis Goubin: "C*-+ and HM - Variations around two schemes of T. Matsumoto and H. Imai" ; Asiacrypt 1998, Springer-Verlag, pp. 35-49.
-
Asiacrypt 1998
, pp. 35-49
-
-
Patarin, J.1
Courtois, N.2
Goubin, L.3
-
25
-
-
84937576636
-
Quartz, 128-bit long digital signatures
-
Cryptographers' Track Rsa Conference 2001, San Francisco 8-12 April 2001, Springer-Verlag. Note: The Quartz signature scheme has been updated since, see [26]
-
Jacques Patarin, Louis Goubin, Nicolas Courtois: Quartz, 128-bit long digital signatures; Cryptographers' Track Rsa Conference 2001, San Francisco 8-12 April 2001, LNCS2020, Springer-Verlag. Note: The Quartz signature scheme has been updated since, see [26].
-
LNCS
, vol.2020
-
-
Patarin, J.1
Goubin, L.2
Courtois, N.3
-
27
-
-
20744433590
-
Cryptanalysis of the HFE Public Key Cryptosystem
-
Can be found
-
Adi Shamir, Aviad Kipnis: "Cryptanalysis of the HFE Public Key Cryptosystem"; Crypto'99. Can be found at http://www.minrank.org/hfesubreg.ps
-
Crypto'99
-
-
Shamir, A.1
Kipnis, A.2
-
28
-
-
34250487811
-
Gaussian Elimination is Not Optimal
-
Volker Strassen: Gaussian Elimination is Not Optimal; Numerische Mathematik, vol 13, pp 354-356, 1969.
-
(1969)
Numerische Mathematik
, vol.13
, pp. 354-356
-
-
Strassen, V.1
|