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Volumn 3357, Issue , 2004, Pages 170-181

Efficient Doubling on Genus Two Curves over Binary Fields

Author keywords

Binary fields; Explicit group operations; Fast arithmetic; Hyperelliptic curves

Indexed keywords

BINARY FIELDS; DOUBLINGS; ELLIPTIC CURVE; EXPLICIT GROUP OPERATIONS; FAST ARITHMETIC; FAST COMPUTATION; FIELD OPERATION; HYPER-ELLIPTIC CURVES; SLIDING WINDOW METHODS; SPEED UP;

EID: 23044501623     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30564-4_12     Document Type: Article
Times cited : (30)

References (21)
  • 2
    • 21744439939 scopus 로고    scopus 로고
    • Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations
    • [Ava03] to appear in CHES
    • [Ava03] R. M. Avanzi. Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations. Cryptology ePrint Archive, Report 2003/253, 2003. to appear in CHES 2004.
    • (2004) Cryptology EPrint Archive, Report 2003/253, 2003
    • Avanzi, R.M.1
  • 3
    • 35248899439 scopus 로고    scopus 로고
    • Countermeasures Against Differential Power Analysis for Hyperelliptic Curve Cryptosystems
    • [Ava04]
    • [Ava04] R. M. Avanzi. Countermeasures Against Differential Power Analysis for Hyperelliptic Curve Cryptosystems. In Proceedings of CHES 2003, volume 2779 of LNCS, pages 366-381, 2004.
    • (2004) Proceedings of CHES 2003, Volume 2779 of LNCS , vol.2779 , pp. 366-381
    • Avanzi, R.M.1
  • 5
    • 84968494137 scopus 로고
    • Computing in the Jacobian of a hyperelliptic curve
    • [Can87]
    • [Can87] D. G. Cantor. Computing in the Jacobian of a hyperelliptic curve. Math. Comp., 48:95-101, 1987.
    • (1987) Math. Comp. , vol.48 , pp. 95-101
    • Cantor, D.G.1
  • 6
    • 13644263766 scopus 로고    scopus 로고
    • Mathematical Background of Public Key Cryptography
    • [FL03] IEM Essen
    • [FL03] G. Frey and T. Lange. Mathematical Background of Public Key Cryptography. Technical Report 10, IEM Essen, 2003.
    • (2003) Technical Report 10
    • Frey, G.1    Lange, T.2
  • 7
    • 84968502759 scopus 로고
    • A remark concerning m-divisibility and the discrete logarithm problem in the divisor class group of curves
    • [FR94]
    • [FR94] G. Frey and H. G. Rück. A remark concerning m-divisibility and the discrete logarithm problem in the divisor class group of curves. Math. Comp., 62:865-874, 1994.
    • (1994) Math. Comp. , vol.62 , pp. 865-874
    • Frey, G.1    Rück, H.G.2
  • 9
    • 84948978775 scopus 로고    scopus 로고
    • An algorithm for solving the discrete log problem on hyperelliptic curves
    • [Gau00] Springer
    • [Gau00] P. Gaudry. An algorithm for solving the discrete log problem on hyperelliptic curves. In Advances in Cryptology - Eurocrypt'2000, Lect. Notes Comput. Sci., pages 19-34. Springer, 2000.
    • (2000) Advances in Cryptology - Eurocrypt'2000, Lect. Notes Comput. Sci. , pp. 19-34
    • Gaudry, P.1
  • 11
    • 23044495111 scopus 로고    scopus 로고
    • A double large prime variation for small genus hyperelliptic index calculus
    • [GT04]
    • [GT04] P. Gaudry and E. Thomé. A double large prime variation for small genus hyperelliptic index calculus. Cryptology ePrint Archive, Report 2004/153, 2004.
    • (2004) Cryptology EPrint Archive, Report 2004/153
    • Gaudry, P.1    Thomé, E.2
  • 12
    • 0024864204 scopus 로고
    • Hyperelliptic cryptosystems
    • [Kob89]
    • [Kob89] N. Koblitz. Hyperelliptic cryptosystems. J. Cryptology, 1:139-150, 1989.
    • (1989) J. Cryptology , vol.1 , pp. 139-150
    • Koblitz, N.1
  • 13
    • 15544366188 scopus 로고    scopus 로고
    • Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
    • [Lan04a]
    • [Lan04a] T. Lange. Formulae for Arithmetic on Genus 2 Hyperelliptic Curves. http://www.itsc.ruhr-uni-bochum.de/tanja/preprints.html, 2004. to appear in J. AAECC.
    • (2004) J. AAECC.
    • Lange, T.1
  • 16
    • 84947262754 scopus 로고    scopus 로고
    • Securing elliptic curve point multiplication against side-channel attacks
    • [MÖ1]
    • [MÖ1] B. Möller. Securing elliptic curve point multiplication against side-channel attacks. In Proc. of ISC 2001, pages 324-334, 2001.
    • (2001) Proc. of ISC , vol.2001 , pp. 324-334
    • Möller, B.1
  • 17
    • 3042619844 scopus 로고    scopus 로고
    • An Elementary Introduction to Hyperelliptic Curves
    • [MWZ98] N. Koblitz, editor, Springer
    • [MWZ98] A. J. Menezes, Y.-H. Wu, and R. Zuccherato. An Elementary Introduction to Hyperelliptic Curves. In N. Koblitz, editor, Algebraic Aspects of Cryptography, pages 155-178. Springer, 1998.
    • (1998) Algebraic Aspects of Cryptography , pp. 155-178
    • Menezes, A.J.1    Wu, Y.-H.2    Zuccherato, R.3
  • 18
    • 35048859612 scopus 로고    scopus 로고
    • Improvement of Thériault Algorithm of Index Calculus for Jacobian of Hyperelliptic Curves of Small Genus
    • [Nag04]
    • [Nag04] K. Nagao. Improvement of Thériault Algorithm of Index Calculus for Jacobian of Hyperelliptic Curves of Small Genus. Cryptology ePrint Archive, Report 2004/161, 2004.
    • (2004) Cryptology EPrint Archive, Report 2004/161
    • Nagao, K.1
  • 19
    • 84895261044 scopus 로고    scopus 로고
    • Special Hyperelliptic Curve Cryptosystems of Genus Two: Efficient Arithmetic and Fast Implementation
    • [PWP04] to appear
    • [PWP04] J. Pelzl, T. Wollinger, and C. Paar. Special Hyperelliptic Curve Cryptosystems of Genus Two: Efficient Arithmetic and Fast Implementation. In Embedded Cryptographic Hardware: Design and Security, 2004. to appear.
    • (2004) Embedded Cryptographic Hardware: Design and Security
    • Pelzl, J.1    Wollinger, T.2    Paar, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.