메뉴 건너뛰기




Volumn 1423, Issue , 1998, Pages 621-638

The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; NUMBER THEORY; POLYNOMIAL APPROXIMATION;

EID: 84947723337     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0054897     Document Type: Conference Paper
Times cited : (5)

References (19)
  • 1
    • 84960566741 scopus 로고
    • Multiples of points on elliptic curves and continued fractions
    • W.A. Adams and M.J. Razar, Multiples of points on elliptic curves and continued fractions, Proc. London Math. Soc. 41 (1980), pp. 481-498.
    • (1980) Proc. London Math. Soc , vol.41 , pp. 481-498
    • Adams, W.A.1    Razar, M.J.2
  • 3
    • 84874800178 scopus 로고
    • A public key cryptosystem and a signature scheme based on discrete logarithms
    • T. ElGamal, A public key cryptosystem and a signature scheme based on discrete logarithms, IEEE Thins. Inform. Theory 31 (1985), pp. 469-472.
    • (1985) IEEE Thins. Inform. Theory , vol.31 , pp. 469-472
    • ElGamal, T.1
  • 4
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • N. Koblitz, Elliptic curve cryptosystems, Math. Comp. 48 (1987), pp. 203-209.
    • (1987) Math. Comp , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 6
    • 85015402934 scopus 로고
    • Uses of elliptic curves in cryptography
    • Lecture Notes in Computer Science, Springer-Verlag
    • V. Miller, Uses of elliptic curves in cryptography, Advances in Cryptology - CRYPTO '85, Lecture Notes in Computer Science 218 (1986), Springer-Verlag, pp. 417-426.
    • (1986) Advances in Cryptology - CRYPTO '85 , vol.218 , pp. 417-426
    • Miller, V.1
  • 9
    • 84919085619 scopus 로고
    • An improved algorithm for computing logarithms over GF(p) and its cryptographic significance
    • S. Pohlig and M. Heilman, An improved algorithm for computing logarithms over GF(p) and its cryptographic significance, IEEE Trans. Inform. Theory 24 (1978), pp. 918-924.
    • (1978) IEEE Trans. Inform. Theory , vol.24 , pp. 918-924
    • Pohlig, S.1    Heilman, M.2
  • 10
    • 1842754787 scopus 로고    scopus 로고
    • Cryptography in real quadratic congruence function fields
    • CTU Publishing House, Prague, Czech Republic
    • R. Scheidler, Cryptography in real quadratic congruence function fields, Proceedings of Pragocrypt 1996, CTU Publishing House, Prague, Czech Republic (1996).
    • (1996) Proceedings of Pragocrypt 1996
    • Scheidler, R.1
  • 11
    • 0028444535 scopus 로고
    • A key exchange protocol using real quadratic fields
    • R. Scheidler, J.A. Buchmann and H.C. Williams, A key exchange protocol using real quadratic fields, J. Cryptology 7 (1994) pp. 171-199.
    • (1994) J. Cryptology , vol.7 , pp. 171-199
    • Scheidler, R.1    Buchmann, J.A.2    Williams, H.C.3
  • 12
    • 0000954985 scopus 로고    scopus 로고
    • Key-exchange in real quadratic congruence function fields
    • R. Scheidler, A. Stein and H.C. Williams, Key-exchange in real quadratic congruence function fields, Des. Codes Cryptogr. 7 (1996), pp. 153-174.
    • (1996) Des. Codes Cryptogr , vol.7 , pp. 153-174
    • Scheidler, R.1    Stein, A.2    Williams, H.C.3
  • 13
    • 84966233278 scopus 로고
    • Elliptic curves over finite fields and the computation of square roots mod p
    • R. Schoof, Elliptic curves over finite fields and the computation of square roots mod p, Math. Comp. 44 (1985), pp. 483-494.
    • (1985) Math. Comp , vol.44 , pp. 483-494
    • Schoof, R.1
  • 14
    • 0002993497 scopus 로고
    • The infrastructure of a real quadratic field and its applications
    • Boulder, Colorado
    • D. Shanks, The infrastructure of a real quadratic field and its applications, Proc. 1972 Number Theory Conf, Boulder, Colorado, 1972, pp. 217-224.
    • (1972) Proc. 1972 Number Theory Conf , pp. 217-224
    • Shanks, D.1
  • 15
    • 84947734581 scopus 로고    scopus 로고
    • CTU Publishing House, Prague, Czech Republic
    • A. Stein, Equivalences between elliptic curves and real quadratic congruence function fields, Proceedings of Pragocrypt 1996, CTU Publishing House, Prague, Czech Republic (1996).
    • (1996) Proceedings of Pragocrypt 1996
    • Stein, A.1
  • 17
    • 0002533027 scopus 로고
    • Artin’s Theorie der quadratischen Kongruenzfunkionenkörper und ihre Anwendung auf die Berechnung der Einheiten- und Klassen-grupen
    • B. Weiss and H.G. Zimmer, Artin’s Theorie der quadratischen Kongruenzfunkionenkörper und ihre Anwendung auf die Berechnung der Einheiten- und Klassen-grupen, Mitt. Math. Ges. Hamburg XII (1991), pp. 261-286.
    • (1991) Mitt. Math. Ges. Hamburg , vol.12 , pp. 261-286
    • Weiss, B.1    Zimmer, H.G.2
  • 18
    • 0031569756 scopus 로고    scopus 로고
    • The continued fraction algorithm and regulator for quadratic function fields of characteristic 2
    • R.J. Zuccherato, The continued fraction algorithm and regulator for quadratic function fields of characteristic 2, Journal of Algebra 190 (1997), pp. 563-587.
    • (1997) Journal of Algebra , vol.190 , pp. 563-587
    • Zuccherato, R.J.1
  • 19
    • 0011041668 scopus 로고    scopus 로고
    • New Applications of Elliptic Curves and Function Fields in Cryptography
    • Department of Combinatorics and Optimization, University of Waterloo, Canada
    • R.J. Zuccherato, New Applications of Elliptic Curves and Function Fields in Cryptography, Ph.D. Thesis, Department of Combinatorics and Optimization, University of Waterloo, Canada (1997).
    • (1997) Ph.D. Thesis
    • Zuccherato, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.