메뉴 건너뛰기




Volumn 7, Issue 1-2, 1996, Pages 153-174

Key-exchange in real quadratic congruence function fields

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000954985     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00125081     Document Type: Article
Times cited : (33)

References (21)
  • 3
    • 33748775925 scopus 로고
    • Quadratische Körper im Gebiete der höheren Kongruenzen I, II
    • E. Artin, Quadratische Körper im Gebiete der höheren Kongruenzen I, II, Math. Zeitschr., Vol. 19 (1924) pp. 153-206.
    • (1924) Math. Zeitschr. , vol.19 , pp. 153-206
    • Artin, E.1
  • 5
    • 0142258937 scopus 로고
    • Heuristics on class groups
    • Number Theory (H. Jager, ed.) Noordwijkerhout, Springer, New York
    • H. Cohen and H. W. Lenstra, Heuristics on class groups, in Number Theory (H. Jager, ed.) (Noordwijkerhout, 1983), Lecture Notes in Mathematics, Springer, New York, 1052 (1984) pp. 26-36.
    • (1983) Lecture Notes in Mathematics , vol.1052 , pp. 26-36
    • Cohen, H.1    Lenstra, H.W.2
  • 6
    • 0003049266 scopus 로고
    • Heuristics on class groups of number fields
    • Number Theory (H. Jager, ed.) Noordwijkerhout, Springer, New York
    • H. Cohen and H. W. Lenstra, Heuristics on class groups of number fields, in Number Theory (H. Jager, ed.) (Noordwijkerhout, 1983), Lecture Notes in Mathematics, Springer, New York, 1068 (1984) pp. 33-62.
    • (1983) Lecture Notes in Mathematics , vol.1068 , pp. 33-62
    • Cohen, H.1    Lenstra, H.W.2
  • 7
    • 0009074064 scopus 로고
    • Lectures on the Theory of Algebraic Functions of One Variable
    • Berlin 314
    • M. Deuring, Lectures on the Theory of Algebraic Functions of One Variable, Lecture Notes in Mathematics, Berlin 314 (1973).
    • (1973) Lecture Notes in Mathematics
    • Deuring, M.1
  • 8
    • 0017018484 scopus 로고
    • New directions in cryptography
    • W. Diffie and M. E. Hellman, New directions in cryptography, IEEE Trans. Inform. Theory, Vol. 22, No. 6, (1976) pp. 644-654.
    • (1976) IEEE Trans. Inform. Theory , vol.22 , Issue.6 , pp. 644-654
    • Diffie, W.1    Hellman, M.E.2
  • 10
    • 0000275849 scopus 로고
    • On the distribution of divisor class groups of curves over finite fields
    • Walter de Gruyter, Berlin and New York
    • E. Friedman and L. C. Washington, On the distribution of divisor class groups of curves over finite fields, Theorie des Nombres, Proc. Int. Number Theory Conf Laval, 1987, Walter de Gruyter, Berlin and New York (1989) pp. 227-239.
    • (1987) Theorie des Nombres, Proc. Int. Number Theory Conf Laval , pp. 227-239
    • Friedman, E.1    Washington, L.C.2
  • 11
    • 0000735764 scopus 로고
    • On the calculation of regulators and class numbers of quadratic fields
    • H. W. Lenstra Jr., On the calculation of regulators and class numbers of quadratic fields, London Math. Soc. Lec. Note Ser., Vol. 56, (1982) pp. 123-150.
    • (1982) London Math. Soc. Lec. Note Ser. , vol.56 , pp. 123-150
    • Lenstra Jr., H.W.1
  • 12
    • 0028444535 scopus 로고
    • A key exchange protocol using real quadratic fields
    • R. Scheidler, J. A. Duchmann and H. C. Williams, A key exchange protocol using real quadratic fields, J. Cryptology, Vol. 7, (1994) pp. 171-199.
    • (1994) J. Cryptology , vol.7 , pp. 171-199
    • Scheidler, R.1    Duchmann, J.A.2    Williams, H.C.3
  • 13
    • 0003026340 scopus 로고
    • Analytische Zahlentheorie in Körpern der Charakteristik p
    • F. K. Schmidt, Analytische Zahlentheorie in Körpern der Charakteristik p, Math. Zeitschr., Vol. 33 (1931) pp. 1-32.
    • (1931) Math. Zeitschr. , vol.33 , pp. 1-32
    • Schmidt, F.K.1
  • 14
    • 0038933271 scopus 로고
    • Quadratic helds and factorization
    • Computational Methods in Number Theory (H. W. Lenstra and R. Tijdemans, eds.), Amsterdam
    • R. J. Schoof, Quadratic helds and factorization, Computational Methods in Number Theory (H. W. Lenstra and R. Tijdemans, eds.), Math. Centrum Tracts, Part II, Amsterdam, 155 (1983) pp. 235-286.
    • (1983) Math. Centrum Tracts , vol.155 , Issue.2 PART , pp. 235-286
    • Schoof, R.J.1
  • 15
    • 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
  • 18
    • 85009970118 scopus 로고
    • An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field
    • Bonn, ACM Press, July 15-17
    • A. Stein and H. G. Zimmer, An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field, Proc. 1991 Int. Symp. on Symbolic and Algebraic Computation, Bonn, ACM Press, July 15-17 (1991) pp. 183-184.
    • (1991) Proc. 1991 Int. Symp. on Symbolic and Algebraic Computation , pp. 183-184
    • Stein, A.1    Zimmer, H.G.2
  • 19
    • 0002533027 scopus 로고
    • Artin's Theorie der quadratischen Kongruenzfunktionenkörper und ihre Anwendung auf die Berechnung der Einheiten-und Klassengruppen
    • B. Weis and H. G. Zimmer, Artin's Theorie der quadratischen Kongruenzfunktionenkörper und ihre Anwendung auf die Berechnung der Einheiten-und Klassengruppen, Mitt. Math. Ges. Hamburg, Sond., Vol. XII, No. 2 (1991) pp. 261-286.
    • (1991) Mitt. Math. Ges. Hamburg, Sond. , vol.12 , Issue.2 , pp. 261-286
    • Weis, B.1    Zimmer, H.G.2
  • 21
    • 0001522153 scopus 로고
    • Ambiguous classes and 2-rank of class groups of quadratic function fields
    • X. Zhang, Ambiguous classes and 2-rank of class groups of quadratic function fields, J. of China University of Science and Technology, Vol. 17, No. 4, (1987) pp. 425-431.
    • (1987) J. of China University of Science and Technology , vol.17 , Issue.4 , pp. 425-431
    • Zhang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.