메뉴 건너뛰기




Volumn 95, Issue 2, 2002, Pages 167-189

Factoring polynomials and the knapsack problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036696751     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-314X(01)92763-5     Document Type: Article
Times cited : (78)

References (19)
  • 1
    • 0033658634 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • Implementation
    • G. Hanrot and P. Zimmermann, Implementation, http://www.loria.fr/~zimmerma/free.
    • Hanrot, G.1    Zimmermann, P.2
  • 6
    • 0031281466 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • Implementation
    • M. van Hoeij, Implementation, http://www.math.fsu.edu/~hoeij/knapsack.html.
    • van Hoeij, M.1
  • 8
    • 0002311062 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • "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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • "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 scopus 로고
    • 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 scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.