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Volumn 9, Issue 1, 1997, Pages 75-95

Equivalences between elliptic curves and real quadratic congruence function fields

Author keywords

Continued fractions; Discrete logarithm; Elliptic curves; Real quadratic congruence function field; Reduced ideals

Indexed keywords


EID: 85010002201     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.191     Document Type: Article
Times cited : (12)

References (22)
  • 2
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    • Adams, W.W.1    Razar, M.J.2
  • 3
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    • Quadratische Körper im Gebiete der höheren Kongruenzen I, II
    • E. ARTIN, Quadratische Körper im Gebiete der höheren Kongruenzen I, II. Math. Zeitschr. 19 (1924), 153-206.
    • (1924) Math. Zeitschr , vol.19 , pp. 153-206
    • Artin, E.1
  • 9
    • 0028444535 scopus 로고
    • A key exchange protocol using real quadratic fields
    • R. SCHEIDLER, J. A. BUCHMANN & H. C. WILLIAMS, A key exchange protocol using real quadratic fields. J. Cryptology 7, 171-199, 1994.
    • (1994) J. Cryptology , vol.7 , pp. 171-199
    • Scheidler, R.1    Buchmann, J.A.2    Williams, H.C.3
  • 10
    • 0000954985 scopus 로고    scopus 로고
    • Key-exchange in real quadratic congruence function fields. Designs
    • R. SCHEIDLER, A. STEIN, & H. C. WILLIAMS, Key-exchange in real quadratic congruence function fields. Designs, Codes and Cryptography 7, (1996), no. 1/2, 153-174.
    • (1996) Codes and Cryptography , vol.7 , Issue.1-2 , pp. 153-174
    • Scheidler, R.1    Stein, A.2    Williams, H.C.3
  • 11
    • 0003026340 scopus 로고
    • Analytische Zahlentheorie in Körpern der Charakteristik p
    • F. K. SCHMIDT, Analytische Zahlentheorie in Körpern der Charakteristik p. Math. Zeitschr. 33 (1931), 1-32.
    • (1931) Math. Zeitschr , vol.33 , pp. 1-32
    • Schmidt, F.K.1
  • 14
    • 84968515365 scopus 로고
    • On Gauss’s Class Number Problems
    • D. SHANKS, On Gauss’s Class Number Problems. Math. Comp. 23 (1969), 151-163.
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    • Shanks, D.1
  • 18
    • 84958056344 scopus 로고    scopus 로고
    • Elliptic Congruence Function Fields. Proc. of ANTS II, Bordeaux, 1996
    • A. STEIN, Elliptic Congruence Function Fields. Proc. of ANTS II, Bordeaux, 1996, Lecture Notes in Computer Science 1122, Springer (1996), 375-384.
    • (1996) Lecture Notes in Computer Science , vol.1122 , pp. 375-384
    • Stein, A.1
  • 21
    • 0002533027 scopus 로고
    • Artin’s Theorie der quadratischen Kongruenzfunktionenkörper und ihre Anwendung auf die Berechnung der Einheiten-und Klassengruppen
    • B. WEIS & H. G. ZIMMER, Artin’s Theorie der quadratischen Kongruenzfunktionenkörper und ihre Anwendung auf die Berechnung der Einheiten-und Klassengruppen. Mitt. Math. Ges. Hamburg, Sond. XII (1991), no. 2.
    • (1991) Mitt. Math. Ges. Hamburg, Sond , Issue.2
    • Weis, B.1    Zimmer, H.G.2
  • 22
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    • On the Parallel Generation of the Residues for the Continued Fraction Algorithm
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    • (1987) Math. Comp , vol.48 , pp. 405-423
    • Williams, H.C.1    Wunderlich, M.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.