-
1
-
-
1542298031
-
ab curve and their application to discrete-log based public key cryptosystems
-
In Japanese
-
ab curve and their application to discrete-log based public key cryptosystems. IEICE Transactions, J82-A(8):1291-1299, 1999. In Japanese. English translation in the proceedings of the Conference on The Mathematics of Public Key Cryptography, Toronto 1999.
-
(1999)
IEICE Transactions
, vol.J82-A
, Issue.8
, pp. 1291-1299
-
-
Arita, S.1
-
2
-
-
1542268098
-
-
English translation, Toronto
-
ab curve and their application to discrete-log based public key cryptosystems. IEICE Transactions, J82-A(8):1291-1299, 1999. In Japanese. English translation in the proceedings of the Conference on The Mathematics of Public Key Cryptography, Toronto 1999.
-
(1999)
Proceedings of the Conference on the Mathematics of Public Key Cryptography
-
-
-
4
-
-
84862055451
-
Changing the ordering of gröbner bases with LLL: Case of two variables
-
Loria, February
-
A. Basiri and J.-C. Faugère. Changing the ordering of gröbner bases with LLL: Case of two variables. Technical report, Loria, http://www.inria.fr/rrrt/rr-4746.html, February 2003.
-
(2003)
Technical Report
-
-
Basiri, A.1
Faugère, J.-C.2
-
5
-
-
85001726432
-
The shape of the shape lemma
-
ACM Press
-
E. Becker, T. Mora, M. G. Marinari, and C. Traverse. The shape of the shape lemma. In Proceedings of the international symposium on Symbolic and algebraic computation, pages 129-133. ACM Press, 1994.
-
(1994)
Proceedings of the International Symposium on Symbolic and Algebraic Computation
, pp. 129-133
-
-
Becker, E.1
Mora, T.2
Marinari, M.G.3
Traverse, C.4
-
8
-
-
33646925446
-
An algorithmical criterion for the solvability of algebraic systems
-
German
-
B. Buchberger. An algorithmical criterion for the solvability of algebraic systems. Aequationes Mathematicae, 4(3):374-383, 1970. (German).
-
(1970)
Aequationes Mathematicae
, vol.4
, Issue.3
, pp. 374-383
-
-
Buchberger, B.1
-
9
-
-
84980263493
-
A criterion for detecting unnecessary reductions in the construction of gröbner basis
-
Proc. EUROSAM 79, Springer Verlag
-
B. Buchberger. A criterion for detecting unnecessary reductions in the construction of gröbner basis. In Proc. EUROSAM 79, volume 72 of Lecture Notes in Computer Science, pages 3-21. Springer Verlag, 1979.
-
(1979)
Lecture Notes in Computer Science
, vol.72
, pp. 3-21
-
-
Buchberger, B.1
-
10
-
-
85034434822
-
A note on the complexity of constructing Gröbner bases
-
EUROCAL '83, European Computer Algebra Conference, van Hulzen J.A. (ed.). Springer
-
B. Buchberger. A note on the complexity of constructing Gröbner bases. In van Hulzen J.A. (ed.) EUROCAL '83, European Computer Algebra Conference, volume 162 of Lecture Notes in Computer Science, pages 137-145. Springer, 1983.
-
(1983)
Lecture Notes in Computer Science
, vol.162
, pp. 137-145
-
-
Buchberger, B.1
-
11
-
-
0002803133
-
Gröbner bases: An algorithmic method in polynomial ideal theory
-
R. P. Company, editor, chapter 6. Bose
-
B. Buchberger. Gröbner bases: an algorithmic method in polynomial ideal theory. In R. P. Company, editor. Recent trends in multidimensional system theory, chapter 6, pages 184-232. Bose, 1985.
-
(1985)
Recent Trends in Multidimensional System Theory
, pp. 184-232
-
-
Buchberger, B.1
-
12
-
-
0003908675
-
-
Undergraduate Texts in Mathematics. Springer-Verlag. second edition
-
D. Cox, J. Little, and D. O'Shea. Ideals, Varieties, and Algorithms. Undergraduate Texts in Mathematics. Springer-Verlag, 1996. second edition.
-
(1996)
Ideals, Varieties, and Algorithms
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
13
-
-
0033143274
-
A new efficient algorithm for computing gröbner bases (f4)
-
June
-
J.-C. Faugère. A new efficient algorithm for computing gröbner bases (f4). Journal of Pure and Applied Algebra, 139(1-3):61-88, June 1999.
-
(1999)
Journal of Pure and Applied Algebra
, vol.139
, Issue.1-3
, pp. 61-88
-
-
Faugère, J.-C.1
-
14
-
-
77955191864
-
How my computer find all the solutions of cyclic 9
-
World Scientific Publishing Co.
-
J.-C. Faugère. How my computer find all the solutions of cyclic 9. In Lecture Notes Series on Computing, volume 9, pages 1-12. World Scientific Publishing Co., 2001.
-
(2001)
Lecture Notes Series on Computing
, vol.9
, pp. 1-12
-
-
Faugère, J.-C.1
-
15
-
-
0036045901
-
A new efficient algorithm for computing gröbner bases without reduction to zero f5
-
T. Mora, editor. ACM Press, July
-
J.-C. Faugère. A new efficient algorithm for computing gröbner bases without reduction to zero f5. In T. Mora, editor, Proceedings of ISSAC, pages 75-83. ACM Press, July 2002.
-
(2002)
Proceedings of ISSAC
, pp. 75-83
-
-
Faugère, J.-C.1
-
16
-
-
84862046309
-
Examples for LLL
-
Lip6, April
-
J.-C. Faugère. Examples for LLL. Technical report, Lip6, http://calfor.lip6.fr/~jcf/Papers/LLL/index.html, April 2003.
-
(2003)
Technical Report
-
-
Faugère, J.-C.1
-
17
-
-
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, 16:329-344, 1993.
-
(1993)
Journal of Symbolic Computation
, vol.16
, pp. 329-344
-
-
Faugère, J.-C.1
Gianni, P.2
Lazard, D.3
Mora, T.4
-
18
-
-
0942295831
-
ab curves
-
Algorithmic Number Theory - ANTS-IV, W. Bosma, editor, Berlin. Springer-Verlag
-
ab curves. In W. Bosma, editor, Algorithmic Number Theory - ANTS-IV, volume 1838 of Lecture Notes in Computer Science, pages 359-376, Berlin, 2000. Springer-Verlag.
-
(2000)
Lecture Notes in Computer Science
, vol.1838
, pp. 359-376
-
-
Harasawa, R.1
Suzuki, J.2
-
19
-
-
85034440461
-
Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations
-
EUROCAL '83, European Computer Algebra Conference, van Hulzen J. A. (ed.). Springer-Verlag
-
D. Lazard. Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations. In van Hulzen J. A. (ed.) EUROCAL '83, European Computer Algebra Conference, volume 162 of Lecture Notes in Computer Science, pages 146-157. Springer-Verlag, 1983.
-
(1983)
Lecture Notes in Computer Science
, pp. 146-157
-
-
Lazard, D.1
-
20
-
-
85008925874
-
Ideal bases and primary primary decompositionxase of two variables
-
September
-
D. Lazard. Ideal bases and primary primary decompositionxase of two variables. Journal of Symbolic Computation, 1(3):261-270, September 1985.
-
(1985)
Journal of Symbolic Computation
, vol.1
, Issue.3
, pp. 261-270
-
-
Lazard, D.1
-
21
-
-
34250244723
-
Factoring polynomials with rational coefficients
-
A. Lenstra, H. Lenstra, and L. Lovász. Factoring polynomials with rational coefficients. Math. Ann., 261:515-534, 1982.
-
(1982)
Math. Ann.
, vol.261
, pp. 515-534
-
-
Lenstra, A.1
Lenstra, H.2
Lovász, L.3
-
22
-
-
0020733320
-
Factoring multivariate polynomials over finite fields
-
A. K. Lenstra. Factoring multivariate polynomials over finite fields. J. Computer and System Sciences, 30(2):235-248, 1985.
-
(1985)
J. Computer and System Sciences
, vol.30
, Issue.2
, pp. 235-248
-
-
Lenstra, A.K.1
-
23
-
-
0010034194
-
An analogue of minkowskl's geometry of numbers in a field of series
-
K. Mahler. An analogue of minkowskl's geometry of numbers in a field of series. In Annals of Math, volume 42, pages 488-522, 1941.
-
(1941)
Annals of Math
, vol.42
, pp. 488-522
-
-
Mahler, K.1
-
24
-
-
84947751619
-
Lattice basis reduction in function fields
-
Algorithmic Number Theory -ANTS-III, J. P. Buhler, editor, Berlin. Springer-Verlag
-
S. Paulus. Lattice basis reduction in function fields. In J. P. Buhler, editor, Algorithmic Number Theory -ANTS-III, volume 1423 of Lecture Notes in Computer Science, pages 567-575, Berlin, 1998. Springer-Verlag.
-
(1998)
Lecture Notes in Computer Science
, vol.1423
, pp. 567-575
-
-
Paulus, S.1
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