메뉴 건너뛰기




Volumn 1, Issue , 2004, Pages 522-526

Optimal tower fields for hyperelliptic curve cryptosystems

Author keywords

Cryptographic application; Efficient implementation; Embedded system; Hyperelliptic curve cryptosystem; Optimal tower field

Indexed keywords

CRYPTOGRAPHIC APPLICATION; EFFICIENT IMPLEMENTATION; HYPERELLIPTIC CURVE CRYPTOSYSTEM; OPTIMAL TOWER FIELD;

EID: 21744447105     PISSN: 10586393     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (9)

References (30)
  • 5
    • 54149111619 scopus 로고    scopus 로고
    • Cantor versus Harley: Optimization and analysis of explicit formulae for hyperelliptic curve cryptosystem
    • February
    • T. Wollinger, J. Pelzl, and C. Paar, "Cantor versus Harley: Optimization and Analysis of Explicit Formulae for Hyperelliptic Curve Cryptosystem," http://www.crypto.rub.de/Publikationen/texte/ wollinger_etal_explicit_formulae_for_HECC. pdf, February 2004. Technical Report.
    • (2004) Technical Report
    • Wollinger, T.1    Pelzl, J.2    Paar, C.3
  • 6
    • 84957677506 scopus 로고    scopus 로고
    • Optimal extension fields for fast arithmetic in public-key algorithms
    • (H. Krawczyk, ed.), LNCS 1462, (Berlin, Germany), Springer-Verlag
    • D. V. Bailey and C. Paar, "Optimal Extension Fields for Fast Arithmetic in Public-Key Algorithms," in Advances in Cryptology - CRYPTO '98 (H. Krawczyk, ed.), LNCS 1462, (Berlin, Germany), pp. 472-485, Springer-Verlag, 1998.
    • (1998) Advances in Cryptology - CRYPTO '98 , pp. 472-485
    • Bailey, D.V.1    Paar, C.2
  • 7
    • 0015414321 scopus 로고
    • Inverse of elements of a galois field
    • October
    • G. I. Davida. Inverse of Elements of a Galois Field. Electronic Letters, 8(21):518-520, October 1972.
    • (1972) Electronic Letters , vol.8 , Issue.21 , pp. 518-520
    • Davida, G.I.1
  • 9
    • 21144441469 scopus 로고    scopus 로고
    • Generic efficient arithmetic algorithms for PAFFs (Processor Adequate Finite Fields) and related algebraic structures
    • LNCS, Springer-Verlag
    • R. M. Avanzi and R. Mihǎlescu, "Generic Efficient Arithmetic Algorithms for PAFFs (Processor Adequate Finite Fields) and Related Algebraic Structures," in Tenth Annual Workshop on Selected Areas in Cryptography - SAC 2003, LNCS, Springer-Verlag, 2003.
    • (2003) Tenth Annual Workshop on Selected Areas in Cryptography - SAC 2003
    • Avanzi, R.M.1    Mihǎlescu, R.2
  • 10
    • 3042629398 scopus 로고
    • A Family of jacobians suitable for discrete log cryptosystems
    • (Shafi Goldwasser, ed.), LNCS 403, (Berlin), Springer-Verlag
    • N. Koblitz, "A Family of Jacobians Suitable for Discrete Log Cryptosystems," in Advances in Cryptology - CRYPTO '88 (Shafi Goldwasser, ed.), LNCS 403, (Berlin), pp.94 - 99, Springer-Verlag, 1988.
    • (1988) Advances in Cryptology - CRYPTO '88 , pp. 94-99
    • Koblitz, N.1
  • 12
    • 0033685799 scopus 로고    scopus 로고
    • On the practical performance of hyperelliptic curve cryptosystems in software implementation
    • April. IEICE Trans
    • Y. Sakai and K. Sakurai, "On the Practical Performance of Hyperelliptic Curve Cryptosystems in Software Implementation," in IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E83-A NO.4, pp. 692-703, April 2000. IEICE Trans.
    • (2000) IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences , vol.E83-A , Issue.4 , pp. 692-703
    • Sakai, Y.1    Sakurai, K.2
  • 13
    • 21744458239 scopus 로고    scopus 로고
    • Fast genus two hyperelliptic curve cryptosystems
    • IEICE
    • K. Matsuo, J. Chao, and S. Tsujii, "Fast Genus Two Hyperelliptic Curve Cryptosystems," in ISEC2001-31, IEICE, 2001.
    • (2001) ISEC2001-31
    • Matsuo, K.1    Chao, J.2    Tsujii, S.3
  • 17
    • 3042622329 scopus 로고    scopus 로고
    • Master's thesis, Department of Electrical Engineering and Information Sciences, Ruhr-Universitaet Bochum, Bochum, Germany, September
    • J. Pelzl, "Hyperelliptic Cryptosystems on Embedded Microprocessor," Master's thesis, Department of Electrical Engineering and Information Sciences, Ruhr-Universitaet Bochum, Bochum, Germany, September 2002.
    • (2002) Hyperelliptic Cryptosystems on Embedded Microprocessor
    • Pelzl, J.1
  • 19
    • 35248899925 scopus 로고    scopus 로고
    • Hyperelliptic curve cryptosystems: Closing the performance gap to elliptic curves
    • (C. D. Walter, Ç. K. Koç, and C. Paar, eds.), Springer-Verlag, September. LNCS 2779
    • J. Pelzl, T. Wollinger, J. Guajardo, and C. Paar. "Hyperelliptic Curve Cryptosystems: Closing the Performance Gap to Elliptic Curves," in Workshop on Cryptographic Hardware and Embedded Systems - CHES 2003 (C. D. Walter, Ç. K. Koç, and C. Paar, eds.), pp. 349 - 365, Springer-Verlag, September 2003. LNCS 2779.
    • (2003) Workshop on Cryptographic Hardware and Embedded Systems - CHES 2003 , pp. 349-365
    • Pelzl, J.1    Wollinger, T.2    Guajardo, J.3    Paar, C.4
  • 23
    • 0024864204 scopus 로고
    • Hyperelliptic cryptosystems
    • N. Koblitz, "Hyperelliptic Cryptosystems," Journal of Cryptology, vol. 1, no. 3, pp. 129-150, 1989.
    • (1989) Journal of Cryptology , vol.1 , Issue.3 , pp. 129-150
    • Koblitz, N.1
  • 25
    • 3042619844 scopus 로고    scopus 로고
    • Berlin, Germany: Springer-Verlag, first ed., 1998. In: Koblitz, N., Algebraic Aspects of Cryptography, Springer-Verlag Berlin
    • A. Menezes, Y. Wu, and R. Zuccherato, An Elementary Introduction to Hyperelliptic Curves. Berlin, Germany: Springer-Verlag, first ed., 1998. In: Koblitz, N., Algebraic Aspects of Cryptography, Springer-Verlag Berlin, 1998.
    • (1998) An Elementary Introduction to Hyperelliptic Curves.
    • Menezes, A.1    Wu, Y.2    Zuccherato, R.3
  • 27
    • 84968494137 scopus 로고
    • Computing in jacobian of a hyperelliptic curve
    • January
    • D. Cantor, "Computing in Jacobian of a Hyperelliptic Curve," in Mathematics of Computation, vol. 48(177), pp. 95 - 101, January 1987.
    • (1987) Mathematics of Computation , vol.48 , Issue.177 , pp. 95-101
    • Cantor, D.1
  • 28
    • 0003358349 scopus 로고
    • Tata lectures on theta II
    • Birkhäuser
    • D. Mumford, "Tata lectures on theta II," in Prog. Math., vol. 43, Birkhäuser, 1984.
    • (1984) Prog. Math. , vol.43
    • Mumford, D.1
  • 29
    • 84946825131 scopus 로고    scopus 로고
    • Counting points on hyperelliptic curves over finite fields
    • (W. Bosma, ed.), LNCS 1838, (Berlin), Springer Verlag
    • P. Gaudry and R. Harley, "Counting Points on Hyperelliptic Curves over Finite Fields," in ANTS IV (W. Bosma, ed.), LNCS 1838, (Berlin), pp. 297 - 312, Springer Verlag, 2000.
    • (2000) ANTS IV , pp. 297-312
    • Gaudry, P.1    Harley, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.