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Volumn 16, Issue 3, 2004, Pages 555-568

Constructing elliptic curves over finite fields using double eta-quotients

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Indexed keywords


EID: 85009962838     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.460     Document Type: Article
Times cited : (23)

References (27)
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    • Atkin, A.O.L.1    Morain, F.2
  • 3
    • 0003484756 scopus 로고
    • John Wiley & Sons, New York
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  • 6
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    • Enzyklop. d. math. Wissenschaften, volume I 2 Heft 10. Teubner, Stuttgart, 2 edition
    • Max Deuring, Die Klassenkörper der komplexen Multiplikation. In Enzyklop. d. math. Wissenschaften, volume I 2 Heft 10. Teubner, Stuttgart, 2 edition, 1958.
    • (1958) Die Klassenkörper Der Komplexen Multiplikation
    • Deuring, M.1
  • 8
    • 84958522845 scopus 로고    scopus 로고
    • Comparing invariants for class fields of imaginary quadratic fields
    • In Claus Fieker and David R. Kohel, editors, Berlin, Springer-Verlag
    • Andreas Enge, François Morain, Comparing invariants for class fields of imaginary quadratic fields. In Claus Fieker and David R. Kohel, editors, Algorithmic Number Theory — ANTS-V, volume 2369 of Lecture Notes in Computer Science, pages 252–266, Berlin, 2002. Springer-Verlag.
    • (2002) Algorithmic Number Theory — ANTS-V, Volume 2369 of Lecture Notes in Computer Science , pp. 252-266
    • Enge, A.1    Morain, F.2
  • 9
    • 85009941870 scopus 로고    scopus 로고
    • Further investigations of the generalised Weber functions
    • Andreas Enge, François Morain, Further investigations of the generalised Weber functions. In preparation, 2005.
    • (2005) Preparation
    • Enge, A.1    Morain, F.2
  • 10
    • 20444447977 scopus 로고    scopus 로고
    • Modular curves of composite level.
    • Andreas Enge, Reinhard Schertz, Modular curves of composite level. To appear in Acta Arithmetica, 2005.
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    • Enge, A.1    Schertz, R.2
  • 16
    • 0039202156 scopus 로고
    • Fundamenta nova theoriae functionum ellipticarum
    • Chelsea, New York, 2 (1969) edition
    • Carl Gustav, Jacob Jacobi, Fundamenta nova theoriae functionum ellipticarum. In Gesammelte Werke, pages 49–239. Chelsea, New York, 2 (1969) edition, 1829.
    • (1829) Gesammelte Werke , pp. 49-239
    • Gustav, C.1    Jacobi, J.2
  • 17
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • Neal Koblitz Elliptic curve cryptosystems. Mathematics of Computation 48(177) (January 1987), 203–209.
    • (1987) Mathematics of Computation , vol.48 , Issue.177 , pp. 203-209
    • Koblitz, N.1
  • 19
    • 85009967725 scopus 로고
    • Constructing elliptic curves with given group order over large finite fields
    • In Leonard M. Adleman and Ming-Deh Huang, editors, Berlin, Springer-Verlag
    • Georg-Johann Lay, Horst G. Zimmer, Constructing elliptic curves with given group order over large finite fields. In Leonard M. Adleman and Ming-Deh Huang, editors, Algorithmic Number Theory, volume 877 of Lecture Notes in Computer Science, pages 250–263, Berlin, 1994. Springer-Verlag.
    • (1994) Algorithmic Number Theory, Volume 877 of Lecture Notes in Computer Science , pp. 250-263
    • Lay, G.-J.1    Zimmer, H.G.2
  • 20
    • 0001258323 scopus 로고
    • Factoring integers with elliptic curves
    • H. W. Lenstra Jr.., Factoring integers with elliptic curves. Annals of Mathematics 126 (1987), 649–673.
    • (1987) Annals of Mathematics , vol.126 , pp. 649-673
    • Lenstra, H.W.1
  • 23
    • 0002926101 scopus 로고
    • Zur expliziten Berechnung von Ganzheitsbasen in Strahlklassenkörpern über einem imaginär-quadratischen Zahlkörper
    • Reinhard Schertz, Zur expliziten Berechnung von Ganzheitsbasen in Strahlklassenkörpern über einem imaginär-quadratischen Zahlkörper. Journal of Number Theory 34(1) (January 1990), 41–53.
    • (1990) Journal of Number Theory , vol.34 , Issue.1 , pp. 41-53
    • Schertz, R.1
  • 27
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.