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Volumn 38, Issue 3, 2006, Pages 383-393

A low-memory algorithm for point counting on picard curves

Author keywords

Curve cryptography; Picard curves; Point counting

Indexed keywords

CRYPTOGRAPHY; STORAGE ALLOCATION (COMPUTER);

EID: 31344446940     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-005-1598-y     Document Type: Article
Times cited : (3)

References (8)
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    • Point counting on Picard curves
    • posted on March 31, PII S 0025-5718(05)01758-8, to appear in print
    • M. Bauer, E. Teske and A. Weng, Point counting on Picard curves, Math. Comp., posted on March 31, 2005 PII S 0025-5718(05)01758-8, to appear in print.
    • (2005) Math. Comp.
    • Bauer, M.1    Teske, E.2    Weng, A.3
  • 4
    • 84958532498 scopus 로고    scopus 로고
    • An improved baby step giant step algorithm for point counting of hyperelliptic curves over finite fields
    • C. Flecker and D. Kohel (eds.), LNCS, Springer
    • K. Matsuo, J. Chao and S. Tsujii, An improved baby step giant step algorithm for point counting of hyperelliptic curves over finite fields In C. Flecker and D. Kohel (eds.), ANTS V, LNCS, Vol. 2369, Springer (2002) pp 461-474.
    • (2002) ANTS V , vol.2369 , pp. 461-474
    • Matsuo, K.1    Chao, J.2    Tsujii, S.3
  • 5
    • 84919085619 scopus 로고
    • An improved algorithm for computing logarithms over CF(p) and its cryptographic significance
    • S. Pohlig and M. Hellman, An improved algorithm for computing logarithms over CF(p) and its cryptographic significance, IEEE Trans. Inform Theory. Vol. 24 (1978) pp 106-110.
    • (1978) IEEE Trans. Inform Theory , vol.24 , pp. 106-110
    • Pohlig, S.1    Hellman, M.2
  • 6
    • 84966238549 scopus 로고
    • Monte Carlo methods for indes computation (mod p)
    • I. M. Pollard, Monte Carlo methods for indes computation (mod p). Math Comp., Vol. 32 (143) (1978) pp 918-924
    • (1978) Math Comp. , vol.32 , Issue.143 , pp. 918-924
    • Pollard, I.M.1
  • 7
    • 0345058968 scopus 로고    scopus 로고
    • Indes calculus attack for hyperelliptic curves of small genus
    • G. Laih, (ed), LNCS 2894, Springer
    • N. Thénault, Indes calculus attack for hyperelliptic curves of small genus. In G. Laih, (ed), Advances in cryptology, Asiacrypt 2003, LNCS 2894, Springer (2003) pp 75-92
    • (2003) Advances in Cryptology, Asiacrypt 2003 , pp. 75-92
    • Thénault, N.1
  • 8
    • 17444376558 scopus 로고    scopus 로고
    • Parallel collision search with cryptanalytic applications
    • P. C. van Oorschot and M. J. Wiener, Parallel collision search with cryptanalytic applications, J. Cryptol. Vol. 12 (1999) pp. 1-28.
    • (1999) J. Cryptol. , vol.12 , pp. 1-28
    • Van Oorschot, P.C.1    Wiener, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.