-
1
-
-
84860002294
-
Asymptotic behaviour of the degree of regularity of semi-regular polynomial systems
-
P. Gianni, editor
-
M. Bardet, J.-C. Faugère, B. Salvy, and B. Yang. Asymptotic behaviour of the degree of regularity of semi-regular polynomial systems. In P. Gianni, editor, The Effective Methods in Algebraic Geometry Conference, Mega 2005, pages 1 -14, May 2005.
-
(2005)
The Effective Methods in Algebraic Geometry Conference, Mega 2005, May
, pp. 1-14
-
-
Bardet, M.1
Faugère, J.-C.2
Salvy, B.3
Yang, B.4
-
2
-
-
84972552380
-
A theorem on refining division orders by the reverse lexicographic order
-
D. Bayer and M. Stillman. A theorem on refining division orders by the reverse lexicographic order. Duke Mathematical Journal, 55(2):321-328, 1987.
-
(1987)
Duke Mathematical Journal
, vol.55
, Issue.2
, pp. 321-328
-
-
Bayer, D.1
Stillman, M.2
-
3
-
-
85001726432
-
The shape of the shape lemma
-
ISSAC '94, New York, NY, USA, ACM
-
E. Becker, T. Mora, M. G. Marinari, and C. Traverso. The shape of the shape lemma. In Proceedings of the international symposium on Symbolic and algebraic computation, ISSAC '94, pages 129-133, New York, NY, USA, 1994. ACM.
-
(1994)
Proceedings of the International Symposium on Symbolic and Algebraic Computation
, pp. 129-133
-
-
Becker, E.1
Mora, T.2
Marinari, M.G.3
Traverso, C.4
-
4
-
-
0031232428
-
The magma algebra system. I. The user language
-
W. Bosma, J. Cannon, and C. Playoust. The Magma algebra system. I. The user language. Journal of Symbolic Computation, 24(3-4):235-265, 1997.
-
(1997)
Journal of Symbolic Computation
, vol.24
, Issue.3-4
, pp. 235-265
-
-
Bosma, W.1
Cannon, J.2
Playoust, C.3
-
5
-
-
0346885832
-
Fast algorithms for zero-dimensional polynomial systems using duality
-
A. Bostan, B. Salvy, and E. Schost. Fast algorithms for zero-dimensional polynomial systems using duality. Applicable Algebra in Engineering, Communication and Computing, 14(4):239-272, 2003.
-
(2003)
Applicable Algebra in Engineering, Communication and Computing
, vol.14
, Issue.4
, pp. 239-272
-
-
Bostan, A.1
Salvy, B.2
Schost, E.3
-
6
-
-
27644502063
-
LinBox: A generic library for exact linear algebra
-
A. M. Cohen, X.-S. Gao, and N. Takayama, editors,. World Scientific Pub., August 2002
-
J.-G. Dumas, T. Gautier, M. Giesbrecht, P. Giorgi, B. Hovinen, E. Kaltofen, B. D. Saunders, W. J. Turner, and G. Villard. LinBox: A generic library for exact linear algebra. In A. M. Cohen, X.-S. Gao, and N. Takayama, editors, ICMS'2002, Proceedings of the 2002 International Congress of Mathematical Software, Beijing, China, pages 40-50. World Scientific Pub., August 2002.
-
ICMS'2002, Proceedings of the 2002 International Congress of Mathematical Software, Beijing, China
, pp. 40-50
-
-
Dumas, J.-G.1
Gautier, T.2
Giesbrecht, M.3
Giorgi, P.4
Hovinen, B.5
Kaltofen, E.6
Saunders, B.D.7
Turner, W.J.8
Villard, G.9
-
9
-
-
0036045901
-
A new efficient algorithm for computing Gröbner bases without reduction to zero (F5)
-
ISSAC '02, New York, NY, USA, ACM
-
J.-C. Faugère. A new efficient algorithm for computing Gröbner bases without reduction to zero (F5). In Proceedings of the 2002 international symposium on Symbolic and algebraic computation, ISSAC '02, pages 75-83, New York, NY, USA, 2002. ACM.
-
(2002)
Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation
, pp. 75-83
-
-
Faugère, J.-C.1
-
10
-
-
84906781950
-
Using symmetries in the index calculus for elliptic curves discrete logarithm
-
J.-C. Faugère, P. Gaudry, L. Huot, and G. Renault. Using symmetries in the index calculus for elliptic curves discrete logarithm. Journal of Cryptology, pages 1-41, 2013. doi 10.1007/s00145-013-9158-5.
-
(2013)
Journal of Cryptology
, pp. 1-41
-
-
Faugère, J.-C.1
Gaudry, P.2
Huot, L.3
Renault, G.4
-
11
-
-
25944479355
-
Efficient computation of zero-dimensional Gröbner bases by change of ordering
-
J.-C. Faugère, P. Gianni, D. Lazard, and T. Mora. Efficient computation of zero-dimensional Gröbner bases by change of ordering. Journal of Symbolic Computation, 16(4):329-344, 1993.
-
(1993)
Journal of Symbolic Computation
, vol.16
, Issue.4
, pp. 329-344
-
-
Faugère, J.-C.1
Gianni, P.2
Lazard, D.3
Mora, T.4
-
12
-
-
84901675900
-
Symmetrized summation polynomials: Using small order torsion points to speed up elliptic curve index calculus, 2014
-
EUROCRYPT
-
J.-C. Faugère, L. Huot, A. Joux, G. Renault, and V. Vitse. Symmetrized summation polynomials: Using small order torsion points to speed up elliptic curve index calculus, 2014. To appear in the proceedings of the 33rd Annual International Conference on the Theory and Applications of Cryptographic Techniques (EUROCRYPT 2014).
-
(2014)
Proceedings of the 33rd Annual International Conference on the Theory and Applications of Cryptographic Techniques
-
-
Faugère, J.-C.1
Huot, L.2
Joux, A.3
Renault, G.4
Vitse, V.5
-
13
-
-
79959685370
-
Fast algorithm for change of ordering of zero-dimensional Gröbner bases with sparse multiplication matrices
-
ISSAC '11, New York, NY, USA, ACM
-
J.-C. Faugère and C. Mou. Fast algorithm for change of ordering of zero-dimensional Gröbner bases with sparse multiplication matrices. In ISSAC '11: Proceedings of the 2011 international symposium on Symbolic and algebraic computation, ISSAC '11, pages 1-8, New York, NY, USA, 2011. ACM.
-
(2011)
ISSAC '11: Proceedings of the 2011 International Symposium on Symbolic and Algebraic Computation
, pp. 1-8
-
-
Faugère, J.-C.1
Mou, C.2
-
15
-
-
0000082080
-
-
PhD thesis, Institut de Mathématique et Sciences Physiques de l'Université de Nice
-
A. Galligo. A Propos du Théorème de Préparation de Weierstrass. PhD thesis, Institut de Mathématique et Sciences Physiques de l'Université de Nice, 1973.
-
(1973)
A Propos du Théorème de Préparation de Weierstrass
-
-
Galligo, A.1
-
16
-
-
85034753633
-
Algebraic solution of systems of polynomial equations using Gröbner bases
-
Springer
-
P. Gianni and T. Mora. Algebraic solution of systems of polynomial equations using Gröbner bases. In Applied Algebra, Algebraic Algorithms and Error Correcting Codes, Proceedings of AAECC-5, volume 356 of LNCS, pages 247-257. Springer, 1989.
-
(1989)
Applied Algebra, Algebraic Algorithms and Error Correcting Codes, Proceedings of AAECC-5, Volume 356 of LNCS
, pp. 247-257
-
-
Gianni, P.1
Mora, T.2
-
17
-
-
38249024753
-
A simple Hankel interpretation of the Berlekamp-Massey algorithm
-
E. Jonckheere and C. Ma. A simple Hankel interpretation of the Berlekamp-Massey algorithm. Linear Algebra and its Applications, 125:65-76, 1989.
-
(1989)
Linear Algebra and Its Applications
, vol.125
, pp. 65-76
-
-
Jonckheere, E.1
Ma, C.2
-
18
-
-
0022052639
-
Fast algorithms for the characteristic polynomial
-
June
-
W. Keller-Gehrig. Fast algorithms for the characteristic polynomial. Theor. Comput. Sci., 36:309-317, June 1985.
-
(1985)
Theor. Comput. Sci.
, vol.36
, pp. 309-317
-
-
Keller-Gehrig, W.1
-
19
-
-
0025065775
-
On the complexity of computing a Gröbner basis for the radical of a zero dimensional ideal
-
STOC '90, New York, NY, USA,. ACM
-
Y. N. Lakshman. On the complexity of computing a Gröbner basis for the radical of a zero dimensional ideal. In Proceedings of the twenty-second annual ACM symposium on Theory of computing, STOC '90, pages 555-563, New York, NY, USA, 1990. ACM.
-
(1990)
Proceedings of the Twenty-second Annual ACM Symposium on Theory of Computing
, pp. 555-563
-
-
Lakshman, Y.N.1
-
20
-
-
85034440461
-
Gröbner bases gaussian elimination and resolution of systems of algebraic equations
-
J. van Hulzen editor, Springer Berlin / Heidelberg
-
D. Lazard. Gröbner bases, gaussian elimination and resolution of systems of algebraic equations. In J. van Hulzen, editor, Computer Algebra, volume 162 of Lecture Notes in Computer Science, pages 146-156. Springer Berlin / Heidelberg, 1983.
-
(1983)
Computer Algebra, Volume 162 of Lecture Notes in Computer Science
, pp. 146-156
-
-
Lazard, D.1
-
21
-
-
84937740421
-
Shift-register synthesis and bch decoding
-
J. Massey. Shift-register synthesis and bch decoding. Information Theory, IEEE Transactions on, 15(1):122-127, 1969.
-
(1969)
Information Theory, IEEE Transactions on
, vol.15
, Issue.1
, pp. 122-127
-
-
Massey, J.1
-
22
-
-
0037447691
-
Degrevlex Gröbner bases of generic complete intersections
-
G. Moreno-Socías. Degrevlex Gröbner bases of generic complete intersections. Journal of Pure and Applied Algebra, 180(3):263-283, 2003.
-
(2003)
Journal of Pure and Applied Algebra
, vol.180
, Issue.3
, pp. 263-283
-
-
Moreno-Socías, G.1
-
27
-
-
0033131339
-
Solving zero-dimensional systems through the rational univariate representation
-
F. Rouillier. Solving zero-dimensional systems through the rational univariate representation. Applicable Algebra in Engineering, Communication and Computing, 9(5):433-461, 1999.
-
(1999)
Applicable Algebra in Engineering, Communication and Computing
, vol.9
, Issue.5
, pp. 433-461
-
-
Rouillier, F.1
-
28
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
Oct
-
J. T. Schwartz. Fast probabilistic algorithms for verification of polynomial identities. J. ACM, 27(4):701-717, Oct. 1980.
-
(1980)
J ACM
, vol.27
, Issue.4
, pp. 701-717
-
-
Schwartz, J.T.1
-
29
-
-
34250487811
-
Gaussian elimination is not optimal
-
V. Strassen. Gaussian elimination is not optimal. Numerische Mathematik, 13(4):354-356, 1969.
-
(1969)
Numerische Mathematik
, vol.13
, Issue.4
, pp. 354-356
-
-
Strassen, V.1
-
31
-
-
0022583143
-
Solving sparse linear equations over finite fields
-
D. H. Wiedemann. Solving sparse linear equations over finite fields. IEEE Trans. Inf. Theor., 32(1):54-62, 1986.
-
(1986)
IEEE Trans. Inf. Theor.
, vol.32
, Issue.1
, pp. 54-62
-
-
Wiedemann, D.H.1
-
32
-
-
84925463455
-
Probabilistic algorithms for sparse polynomials
-
E. Ng, editor, Springer Berlin Heidelberg
-
R. Zippel. Probabilistic algorithms for sparse polynomials. In E. Ng, editor, Symbolic and Algebraic Computation, volume 72 of Lecture Notes in Computer Science, pages 216-226. Springer Berlin Heidelberg, 1979.
-
(1979)
Symbolic and Algebraic Computation, Volume 72 of Lecture Notes in Computer Science
, pp. 216-226
-
-
Zippel, R.1
|