-
1
-
-
0033658634
-
Factorization in ℤ[x]: The searching phase
-
"ISSAC'2000 Proceedings"
-
J. Abbott, V. Shoup, and P. Zimmermann, Factorization in ℤ[x]: The searching phase, in "ISSAC'2000 Proceedings," pp. 1-7, 2000.
-
(2000)
, pp. 1-7
-
-
Abbott, J.1
Shoup, V.2
Zimmermann, P.3
-
2
-
-
0031232428
-
The Magma algebra system I: The user language
-
W. Bosma, J. Cannon, and C. Playoust, The Magma algebra system I: The user language, J. Symbolic Comput. 24 (1997), 235-265.
-
(1997)
J. Symbolic Comput
, vol.24
, pp. 235-265
-
-
Bosma, W.1
Cannon, J.2
Playoust, C.3
-
3
-
-
85031445979
-
-
Belabas Pari-GP, now maintained by K
-
H. Cohen, Pari-GP, now maintained by K. Belabas, http://www.parigp-home.de.
-
-
-
Cohen, H.1
-
4
-
-
0040294772
-
Analysis of PSLQ, an integer relation finding algorithm
-
"manuscript"
-
H. R. P. Ferguson, D. H. Bailey, and S. Arno, Analysis of PSLQ, an integer relation finding algorithm, "manuscript," 1995, http://www.cecm.sfu.ca/organics/papers/bailey.
-
(1995)
-
-
Ferguson, H.R.P.1
Bailey, D.H.2
Arno, S.3
-
5
-
-
85031438354
-
Implementation
-
G. Hanrot and P. Zimmermann, Implementation, http://www.loria.fr/~zimmerma/free.
-
-
-
Hanrot, G.1
Zimmermann, P.2
-
6
-
-
0031281466
-
Factorization of differential operators with rational functions coefficients
-
M. van Hoeij, Factorization of differential operators with rational functions coefficients, J. Symbolic Comput. 24 (1997), 537-561.
-
(1997)
J. Symbolic Comput
, vol.24
, pp. 537-561
-
-
van Hoeij, M.1
-
7
-
-
84871002351
-
Implementation
-
M. van Hoeij, Implementation, http://www.math.fsu.edu/~hoeij/knapsack.html.
-
-
-
van Hoeij, M.1
-
8
-
-
0002311062
-
Polynomial factorization
-
"Computer Algebra" (B. Buchberger et al., eds) 2nd ed., Springer-Verlag, Berlin
-
E. Kaltofen, Polynomial factorization, in "Computer Algebra" (B. Buchberger et al., eds) 2nd ed., pp. 95-113, Springer-Verlag, Berlin, 1982.
-
(1982)
, pp. 95-113
-
-
Kaltofen, E.1
-
9
-
-
84958966710
-
Segment LLL-reduction of lattice bases
-
"Cryptography and Lattices Conference (CaLC),"
-
H. Koy and C. P. Schnorr, Segment LLL-reduction of lattice bases, "Cryptography and Lattices Conference (CaLC)," 2001.
-
(2001)
-
-
Koy, H.1
Schnorr, C.P.2
-
10
-
-
34250244723
-
Factoring polynomials with rational coefficients
-
A. K. Lenstra, H. W. Lenstra, and L. Lovász, Factoring polynomials with rational coefficients, Math. Ann. 261 (1982), 515-534.
-
(1982)
Math. Ann
, vol.261
, pp. 515-534
-
-
Lenstra, A.K.1
Lenstra, H.W.2
Lovász, L.3
-
11
-
-
84966217433
-
An inequality about factors of polynomials
-
M. Mignotte, An inequality about factors of polynomials, Math. Comput. 28 (1974), 1153-1157.
-
(1974)
Math. Comput
, vol.28
, pp. 1153-1157
-
-
Mignotte, M.1
-
12
-
-
85028851995
-
Factoring polynomials via relation-finding
-
"ISTCS '92," Springer Lecture Notes in Computer Science Springer, Berlin
-
V. Miller, Factoring polynomials via relation-finding, "ISTCS '92," Springer Lecture Notes in Computer Science, Vol. 601, pp. 115-121, Springer, Berlin, 1992.
-
(1992)
, vol.601
, pp. 115-121
-
-
Miller, V.1
-
13
-
-
0001856072
-
A unified method for multivariate polynomial factorization
-
T. Sasaki, T. Saito, and T. Hilano, A unified method for multivariate polynomial factorization, Japan J. Ind. Appl. Math. 1 (10) (1993), 21-39.
-
(1993)
Japan J. Ind. Appl. Math
, vol.1
, Issue.10
, pp. 21-39
-
-
Sasaki, T.1
Saito, T.2
Hilano, T.3
-
14
-
-
0000962711
-
-
"Factorization of Univariate Integer Polynomials by Diophantine Approximation and an Improved Basis Reduction Algorithm," Lecture Notes in Computer Science Springer-Verlag, Berlin
-
A. Schönhage, "Factorization of Univariate Integer Polynomials by Diophantine Approximation and an Improved Basis Reduction Algorithm," Lecture Notes in Computer Science, Vol. 172, pp. 436-447, Springer-Verlag, Berlin, 1984.
-
(1984)
, vol.172
, pp. 436-447
-
-
Schönhage, A.1
-
15
-
-
33846200465
-
Lattice basis reduction: Improved practical algorithms and solving subset sum problems 181-191
-
C. P. Schnorr and M. Euchner, Lattice basis reduction: improved practical algorithms and solving subset sum problems, Math. Programming 66 (1994), 181-191.
-
(1994)
Math. Programming
, vol.66
, pp. 181-191
-
-
Schnorr, C.P.1
Euchner, M.2
-
16
-
-
85031446998
-
-
NTL, A library for doing number theory
-
V. Shoup, NTL, A library for doing number theory, http://www.shoup.net/.
-
-
-
Shoup, V.1
-
17
-
-
0003635009
-
"Faster Algorithms for Integer Lattice Basis Reduction"
-
Technical Report 249, Departement Informatik, ETH Zurich
-
A. Storjohann, "Faster Algorithms for Integer Lattice Basis Reduction," Technical Report 249, Departement Informatik, ETH Zurich, 1996.
-
(1996)
-
-
Storjohann, A.1
-
18
-
-
0000955648
-
Solving exponential diophantine equations using lattice basis reduction algorithms
-
B. de Weger, Solving exponential diophantine equations using lattice basis reduction algorithms, J. Number Theory 26 (1987), 325-367.
-
(1987)
J. Number Theory
, vol.26
, pp. 325-367
-
-
de Weger, B.1
-
19
-
-
0000625977
-
On Hensel factorization, I
-
H. Zassenhaus, On Hensel factorization, I., J. Number Theory 1 (1969), 291-311.
-
(1969)
J. Number Theory
, vol.1
, pp. 291-311
-
-
Zassenhaus, H.1
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