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Volumn 2247, Issue , 2001, Pages 99-107

Elliptic curves of prime order over optimal extension fields for use in cryptography

Author keywords

Complex multiplication; Cryptography; Elliptic curve; Optimal extension field

Indexed keywords

GEOMETRY; LARGE SCALE SYSTEMS;

EID: 84974710254     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45311-3_10     Document Type: Conference Paper
Times cited : (6)

References (14)
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    • H. Baier. Efficient Computation of Singular Moduli with Application in Cryptography. In Fundamentals of Computing Theory, Proceedings of FCT 2001, LNCS 2138, pages 71-82, Berlin, 2001. Springer-Verlag.
    • (2001) Fundamentals of Computing Theory, Proceedings of FCT 2001 , pp. 71-82
    • Baier, H.1
  • 4
    • 84947763991 scopus 로고    scopus 로고
    • Efficient Construction of Cryptographically Strong Elliptic Curves
    • LNCS 1977, Berlin, Springer-Verlag
    • H. Baier and J. Buchmann. Efficient Construction of Cryptographically Strong Elliptic Curves. In Progress in Cryptology - INDOCRYPT2000, LNCS 1977, pages 191-202, Berlin, 2000. Springer-Verlag.
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    • Baier, H.1    Buchmann, J.2
  • 5
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    • Optimal Extension Fields for fast Arithmetic in Public-Key Algorithms
    • LNCS 1462, Berlin, Springer-Verlag
    • D. Bailey and C. Paar. Optimal Extension Fields for fast Arithmetic in Public-Key Algorithms. In Advances in Cryptology - CRYPTO’98, LNCS 1462, pages 472-485, Berlin, 1998. Springer-Verlag.
    • (1998) Advances in Cryptology - CRYPTO’98 , pp. 472-485
    • Bailey, D.1    Paar, C.2
  • 6
    • 0001224411 scopus 로고    scopus 로고
    • Efficient Arithmetic in Finite Field Extensions with Application in Elliptic Curve Cryptography
    • to appear
    • D. Bailey and C. Paar. Efficient Arithmetic in Finite Field Extensions with Application in Elliptic Curve Cryptography. Journal of Cryptology, 2001. to appear.
    • (2001) Journal of Cryptology
    • Bailey, D.1    Paar, C.2
  • 9
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    • Finding Secure Curves with the Satoh-FGH Algorithm and an Eary-Abort Strategy
    • LNCS 2045, Berlin, Springer-Verlag
    • M. Fouquet, P. Gaudry, and R. Harley. Finding Secure Curves with the Satoh-FGH Algorithm and an Eary-Abort Strategy. In Proceedings of Eurocrypt 2001, LNCS 2045, pages 14-29, Berlin, 2001. Springer-Verlag.
    • (2001) Proceedings of Eurocrypt 2001 , pp. 14-29
    • Fouquet, M.1    Gaudry, P.2    Harley, R.3
  • 10
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    • Constructive and descructive facets of Weil descent on elliptic curves
    • to appear
    • P. Gaudry, F. Hess, and N.P. Smart. Constructive and descructive facets of Weil descent on elliptic curves. Journal of Cryptology, 2001. to appear.
    • (2001) Journal of Cryptology
    • Gaudry, P.1    Hess, F.2    Smart, N.P.3
  • 11
    • 84968503742 scopus 로고
    • Elliptic Curve Cryptosystems
    • N. Koblitz. Elliptic Curve Cryptosystems. Mathematics of Computation, 48: 203-209, 1987.
    • (1987) Mathematics of Computation , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 12
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    • Constructing elliptic curves with given group order over large finite fields
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    • G.-J. Lay and H.G. Zimmer. Constructing elliptic curves with given group order over large finite fields. In Proceedings of ANTS I, LNCS 877, pages 250-263, 1994.
    • (1994) Proceedings of ANTS I , pp. 250-263
    • Lay, G.-J.1    Zimmer, H.G.2
  • 13
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    • Use of Elliptic Curves in Cryptography
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    • V. Miller. Use of Elliptic Curves in Cryptography. In Proceedings of CRYPTO '85, LNCS 218, pages 417-426, Berlin, 1986. Springer-Verlag.
    • (1986) Proceedings of CRYPTO '85 , pp. 417-426
    • Miller, V.1
  • 14
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    • A new polynomial factorization algorithm and its implementation
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.