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Volumn 5, Issue 3, 1996, Pages 231-253

An implementation of the number field sieve

Author keywords

Factorization; Number field sieve

Indexed keywords


EID: 0030300309     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.1996.10504590     Document Type: Article
Times cited : (22)

References (24)
  • 2
    • 0003742699 scopus 로고    scopus 로고
    • This manual is part of the program distribution, available by anonymous ftp from the host megrez. math. u-bordeaux.fr
    • C. Batut, D. Bernardi, H. Cohen and M. Olivier, User's Guide to Pari-GP. This manual is part of the program distribution, available by anonymous ftp from the host megrez. math. u-bordeaux.fr.
    • User's Guide to Pari-Gp
    • Batut, C.1    Bernardi, D.2    Cohen, H.3    Olivier, M.4
  • 6
    • 21144460202 scopus 로고
    • Solving linear equations over GF(2): Block Lanczos algorithm
    • D. Coppersmith, "Solving linear equations over GF(2): Block Lanczos algorithm", Linear Algebra and its Applications 192 (1993), 3360.
    • (1993) Linear Algebra and Its Applications , vol.192 , pp. 3360
    • Coppersmith, D.1
  • 8
    • 0010300083 scopus 로고
    • Über Beziehungen zwischen den Primidealen eines algebraischen Korpers und den Substitutionen seiner Gruppe
    • Reprinted in Gesammelte Abhandlungen, Band II, Springer, Berlin, 1968
    • F. G. Frobenius. "Über Beziehungen zwischen den Primidealen eines algebraischen Korpers und den Substitutionen seiner Gruppe", Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin (1896), pp. 689-703. Reprinted in Gesammelte Abhandlungen, Band II, Springer, Berlin, 1968.
    • (1896) Sitzungsberichte Der Königlich Preußischen Akademie Der Wissenschaften Zu Berlin , pp. 689-703
    • Frobenius, F.G.1
  • 9
    • 84957652084 scopus 로고
    • Lattice sieving and trial division
    • Lecture Notes in Comp. Sci, Springer, Berlin
    • R. A. Golliver, A. K. Lenstra, and K. S. McCurley, "Lattice sieving and trial division", pp. 18-27 in Algorithmic Number Theory (edited by -L. M. Adleman and M.-D. Huang), Lecture Notes in Comp. Sci. 877, Springer, Berlin, 1994.
    • (1994) Algorithmic Number Theory , vol.877 , pp. 18-27
    • Golliver, R.A.1    Lenstra, A.K.2    McCurley, K.S.3
  • 10
    • 0003657590 scopus 로고
    • Seminumerical Algorithms, 2nd ed., Addison-Wesley, Reading, MA, or 3rd ed
    • D. E. Knuth, The Art of Computer Programming, vol. 2: Seminumerical Algorithms, 2nd ed., Addison-Wesley, Reading, MA, 1981 (or 3rd ed., 1997).
    • (1981) The Art of Computer Programming , vol.2
    • Knuth, D.E.1
  • 11
    • 84988216913 scopus 로고
    • Solving large sparse linear systems over finite fields
    • Lecture Notes in Comp. Sci, Springer, Berlin
    • B. A. LaMacchia and A. M. Odlyzko, "Solving large sparse linear systems over finite fields", pp. 109-133 Advances in Cryptology: CRYPTO '90 (edited by A. J. Menezes and S. A. Vanstone), Lecture Notes in Comp. Sci. 537, Springer, Berlin, 1991.
    • (1991) Pp. 109-133 Advances in Cryptology: CRYPTO '90 , vol.537
    • Lamacchia, B.A.1    Odlyzko, A.M.2
  • 13
    • 85023815962 scopus 로고    scopus 로고
    • The Development of the Number Field Sieve, Lecture Notes in Math
    • A. K. Lenstra and H. W. Lenstra Jr., The Development of the Number Field Sieve, Lecture Notes in Math. 1554, Springer, Berlin, 1993.
    • Springer, Berlin , pp. 1993
    • Lenstra, A.K.1    Lenstra, H.W.2
  • 14
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • A. K. Lenstra, H. W. Lenstra Jr., and L. Lovasz, "Factoring polynomials with rational coefficients", Mathematische Annalen, 261 (1982), 515-534.
    • (1982) Mathematische Annalen , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovasz, L.3
  • 18
    • 84957682846 scopus 로고
    • A block Lanczos algorithm for finding dependencies over GF(2)
    • Lecture Notes in Comp. Sci. 921, Springer, Berlin
    • Peter L. Montgomery, "A block Lanczos algorithm for finding dependencies over GF(2)", pp. 106-120 in Advances in Cryptology: Eurocrypt '95 (edited by L. C. Guillou and J.J. Quisquater), Lecture Notes in Comp. Sci. 921, Springer, Berlin, 1995.
    • (1995) Pp. 106-120 in Advances in Cryptology: Eurocrypt '95
    • Montgomery, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.