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Volumn 67, Issue 224, 1998, Pages 1679-1689

An algorithm for evaluation of discrete logarithms in some nonprime finite fields

Author keywords

Cryptography; Discrete logarithms; Finite fields

Indexed keywords


EID: 0039523561     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-98-00969-7     Document Type: Article
Times cited : (6)

References (8)
  • 1
    • 0017018484 scopus 로고
    • New directions in cryptography
    • MR 55:10141
    • W. Diffie and M. Hellman, New directions in cryptography, IEEE Trans. Inform. Theory, IT-22 (1976), 644-654. MR 55:10141
    • (1976) IEEE Trans. Inform. Theory , vol.IT-22 , pp. 644-654
    • Diffie, W.1    Hellman, M.2
  • 2
    • 84919085619 scopus 로고
    • An improved algorithm for computing logarithms over GF(p) and its cryptographic significance
    • MR 58:4617
    • S. Pohlig and M. Hellman, An improved algorithm for computing logarithms over GF(p) and its cryptographic significance, IEEE Trans. Inform. Theory IT-24 (1978) 106-110. MR 58:4617
    • (1978) IEEE Trans. Inform. Theory , vol.IT-24 , pp. 106-110
    • Pohlig, S.1    Hellman, M.2
  • 3
    • 0018724062 scopus 로고
    • A subexponential algorithm for the discrete logarithm problem with applications to cryptography
    • IEEE Computer Society, New York. MR 82a:68004
    • L. Adleman, A subexponential algorithm for the discrete logarithm problem with applications to cryptography, 20th Annual Symposium on Foundations of Computer Science, IEEE Computer Society, New York. 1979, pp. 55-60. MR 82a:68004
    • (1979) 20th Annual Symposium on Foundations of Computer Science , pp. 55-60
    • Adleman, L.1
  • 5
    • 0021468777 scopus 로고
    • Fast evaluation of logarithms in fields of characteristic two
    • MR 85h:65041
    • D. Coppersmith, Fast evaluation of logarithms in fields of characteristic two, IEEE Trans. Inform. Theory IT-30 (1984), 587-594. MR 85h:65041
    • (1984) IEEE Trans. Inform. Theory , vol.IT-30 , pp. 587-594
    • Coppersmith, D.1
  • 6
    • 0039039233 scopus 로고
    • The number of small solutions of a linear homogeneous congruence
    • I. A. Semaev, The number of small solutions of a linear homogeneous congruence, Mat. Zametki 50 (1991), 102-197: English transl. in Math. Notes, 50 (1991). MR 93c:11001
    • (1991) Mat. Zametki , vol.50 , pp. 102-197
    • Semaev, I.A.1
  • 7
    • 0040223200 scopus 로고
    • English transl. in MR 93c:11001
    • I. A. Semaev, The number of small solutions of a linear homogeneous congruence, Mat. Zametki 50 (1991), 102-197: English transl. in Math. Notes, 50 (1991). MR 93c:11001
    • (1991) Math. Notes , vol.50
  • 8
    • 84958036387 scopus 로고    scopus 로고
    • Discrete logarithms: The effectiveness of the index calculus method
    • Springer, Berlin and New York
    • O. Schirokauer, D. Weber and T. Denny, Discrete logarithms: the effectiveness of the index calculus method, Algorithmic number theory, Lecture notes in computer science; vol. 1122, Springer, Berlin and New York, 1996, pp. 337-361.
    • (1996) Algorithmic Number Theory, Lecture Notes in Computer Science , vol.1122 , pp. 337-361
    • Schirokauer, O.1    Weber, D.2    Denny, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.