-
1
-
-
84929727140
-
-
Springer-Verlag, LNCS 877
-
L. Adleman, J. De Marrais and M. Huang, A subexponential algorithm for discrete logarithms over the rational subgroup of the jacobians of large genus hyperelliptic curves over finite fields, Algorithmic Number Theory, Springer-Verlag, LNCS 877 (1994) 28-40
-
(1994)
A Subexponential Algorithm for Discrete Logarithms Over the Rational Subgroup of the Jacobians of Large Genus Hyperelliptic Curves Over Finite Fields, Algorithmic Number Theory
, pp. 28-40
-
-
Adleman, L.1
De Marrais, J.2
Huang, M.3
-
2
-
-
33646803467
-
A Weil descent attack against elliptic curve cryptosystems over quartic extension field I
-
Japan
-
S. Arita, K. Matsuo, K. Nagao and M. Shimura, A Weil descent attack against elliptic curve cryptosystems over quartic extension field I, Proceedings of SCIS2004, IEICE, Japan (2004).
-
(2004)
Proceedings of SCIS2004, IEICE
-
-
Arita, S.1
Matsuo, K.2
Nagao, K.3
Shimura, M.4
-
5
-
-
84896355346
-
Elliptic and hyperelliptic curves with weak coverings against Weil descent attack
-
J. Chao, Elliptic and hyperelliptic curves with weak coverings against Weil descent attack, Talk at the 11th Elliptic Curve Cryptography Workshop (2007).
-
(2007)
Talk at the 11th Elliptic Curve Cryptography Workshop
-
-
Chao, J.1
-
6
-
-
4544381452
-
The GHS attack in odd characteristic
-
C. Diem, The GHS attack in odd characteristic, J. Ramanujan Math. Soc., 18 (1) (2003) 1-32.
-
(2003)
J. Ramanujan Math. Soc.
, vol.18
, Issue.1
, pp. 1-32
-
-
Diem, C.1
-
7
-
-
84896381679
-
Index calculus in class groups of plane curves of small degree
-
C. Diem, Index calculus in class groups of plane curves of small degree, Proceedings of ANTS VII (2006). Available from http://www.math.unileipzig.de/ ~diem/preprints/small-degree.ps
-
(2006)
Proceedings of ANTS VII
-
-
Diem, C.1
-
9
-
-
0042833029
-
A general framework for subexponential discrete logarithm algorithms
-
A. Enge and P. Gaudry, A general framework for subexponential discrete logarithm algorithms, Acta Arith., 102 (2002) 83-103. (Pubitemid 37072847)
-
(2002)
Acta Arithmetica
, vol.102
, Issue.1
, pp. 83-103
-
-
Enge, A.1
Gaudry, P.2
-
11
-
-
0038060517
-
Weil descent of Jacobians
-
S. D. Galbraith, Weil descent of Jacobians, Discrete Applied Mathematics, 128 (1) (2003) 165-180.
-
(2003)
Discrete Applied Mathematics
, vol.128
, Issue.1
, pp. 165-180
-
-
Galbraith, S.D.1
-
12
-
-
84948978775
-
An algorithm for solving the discrete logarithm problem on hyperelliptic curves
-
Springer-Verlag, LNCS 1807
-
P. Gaudry, An Algorithm for solving the discrete logarithm problem on hyperelliptic curves, Advances in cryptology EUROCRYPTO 2000, Springer-Verlag, LNCS 1807 (2000) 19-34.
-
(2000)
Advances in Cryptology EUROCRYPTO 2000
, pp. 19-34
-
-
Gaudry, P.1
-
13
-
-
38049124867
-
A double large prime variation for small genus hyperelliptic index calculus
-
P. Gaudry, N. Thériault, E. Thomé and C. Diem, A double large prime variation for small genus hyperelliptic index calculus, Math. Comp., 76 (2007) 47-492.
-
(2007)
Math. Comp.
, vol.76
, pp. 47-492
-
-
Gaudry, P.1
Thériault, N.2
Thomé, E.3
Diem, C.4
-
14
-
-
0001788567
-
Constructive and destructive facets of weil descent on elliptic curves
-
DOI 10.1007/s00145-001-0011-x
-
P. Gaudry, F. Hess and N. Smart, Constructive and destructive facets of Weil descent on elliptic curves, J. Cryptol, 15 (2002) 19-46. (Pubitemid 44126469)
-
(2002)
Journal of Cryptology
, vol.15
, Issue.1
, pp. 19-46
-
-
Gaudry, P.1
Hess, F.2
Smart, N.P.3
-
15
-
-
69849107700
-
Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem
-
P. Gaudry, Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem, Journal of Symbolic Computation, Elsevier, 44, 12 (2009) 1690-1702.
-
(2009)
Journal of Symbolic Computation, Elsevier
, vol.44
, Issue.12
, pp. 1690-1702
-
-
Gaudry, P.1
-
16
-
-
27544481767
-
Improvements of addition algorithm on genus 3 hyperelliptic curves and their implementation
-
DOI 10.1093/ietfec/E88-A.1.89
-
M. Gonda, K. Matsuo, K. Aoki, J. Chao and S. Tsujii, Improvements of addition algorithm on genus 3 hyperelliptic curves and their implementation, IEICE Transactions on Fundamentals, E88-A (1) (2005) 89-96. (Pubitemid 41536710)
-
(2005)
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
, vol.E88-A
, Issue.1
, pp. 89-96
-
-
Gonda, M.1
Matsuo, K.2
Aoki, K.3
Chao, J.4
Tsujii, S.5
-
18
-
-
35248867395
-
The GHS attack revisited
-
Springer-Verlag, LNCS 2656
-
F. Hess, The GHS attack revisited, Advances in cryptology EUROCRYPTO 2003, Springer-Verlag, LNCS 2656 (2003) 374-387.
-
(2003)
Advances in Cryptology EUROCRYPTO 2003
, pp. 374-387
-
-
Hess, F.1
-
19
-
-
23044512900
-
Generalizing the GHS attack on the elliptic curve discrete logarithm
-
F. Hess, Generalizing the GHS Attack on the Elliptic Curve Discrete Logarithm, LMS J. Comput. Math., 7 (2004) 167-192.
-
(2004)
LMS J. Comput. Math.
, vol.7
, pp. 167-192
-
-
Hess, F.1
-
22
-
-
33847320580
-
Analysis of the Weil Descent Attack of Gaudry, Hess and Smart
-
Topics in Cryptology - CT-RSA 2001 The Cryptographers' Track at RSA Conference 2001 San Francisco, CA, USA, April 8-12, 2001 Proceedings
-
A. Menezes and M. Qu, Analysis of the Weil descent attack of Gaudry, Hess and Smart, Topics in Cryptology CT-RSA 2001, Springer-Verlag, LNCS 2020 (2001) 308-318. (Pubitemid 33255172)
-
(2001)
Lecture notes in computer science
, Issue.2020
, pp. 308-318
-
-
Menezes, A.1
Qu, M.2
-
23
-
-
35048833769
-
Weak Fields for ECC
-
Topics in Cryptology - CT-RSA 2004
-
A. Menezes, E. Teske and A. Weng, Weak Fields for ECC, Topics in Cryptology CT-RSA 2004, Springer-Verlag, LNCS 2964 (2004) 366-386. (Pubitemid 38271232)
-
(2004)
Lecture notes in computer science
, Issue.2964
, pp. 366-386
-
-
Menezes, A.1
Teske, E.2
Weng, A.3
-
24
-
-
84896353539
-
On Weil descent of elliptic curves over quadratic extensions
-
F. Momose, J. Chao and M. Shimura, On Weil descent of elliptic curves over quadratic extensions Proceedings of SCIS 2005 (2005) 787-792.
-
(2005)
Proceedings of SCIS 2005
, pp. 787-792
-
-
Momose, F.1
Chao, J.2
Shimura, M.3
-
25
-
-
84896327057
-
-
1, preprint (2006). Available from http://eprint.iacr.org/2006/347
-
(2006)
1
-
-
Momose, F.1
Chao, J.2
-
28
-
-
68549121006
-
Isogenies and the discrete logarithm problem in jacobians of genus 3 hyperelliptic curves
-
B. Smith, Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves, Journal of Cryptology 22, 4 (2009) 505-529.
-
(2009)
Journal of Cryptology
, vol.22
, Issue.4
, pp. 505-529
-
-
Smith, B.1
-
30
-
-
23044510745
-
Weil descent attack for Kummer extensions
-
N. Thériault, Weil descent attack for Kummer extensions, J. Ramanujan Math. Soc, 18 (2003) 281-312.
-
(2003)
J. Ramanujan Math. Soc
, vol.18
, pp. 281-312
-
-
Thériault, N.1
|