메뉴 건너뛰기




Volumn 2587, Issue , 2003, Pages 283-297

Efficient computations of the tate pairing for the large MOV degrees

Author keywords

Efficient computation; Elliptic curve cryptosystem; Jacobian coordinate; MOV degree; Tate pairing

Indexed keywords


EID: 35248849357     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36552-4_20     Document Type: Article
Times cited : (28)

References (28)
  • 1
    • 84874324906 scopus 로고    scopus 로고
    • Identity-based encryption from the Weil pairing
    • CRYPTO 2001, Springer-Verlag
    • D. Boneh, and M. Franklin, "Identity-based encryption from the Weil pairing", CRYPTO 2001, LNCS 2139, pp.213-229, Springer-Verlag, 2001.
    • (2001) LNCS , vol.2139 , pp. 213-229
    • Boneh, D.1    Franklin, M.2
  • 2
    • 84937428623 scopus 로고    scopus 로고
    • Efficient Algorithms for Pairing-Based Cryptosystems
    • CRYPTO 2002, Springer-Verlag
    • P. Barreto, H. Kim, B. Lynn, and M. Scott, "Efficient Algorithms for Pairing-Based Cryptosystems", CRYPTO 2002, LNCS 2442, pp.354-368, Springer-Verlag, 2002.
    • (2002) LNCS , vol.2442 , pp. 354-368
    • Barreto, P.1    Kim, H.2    Lynn, B.3    Scott, M.4
  • 3
    • 84946840347 scopus 로고    scopus 로고
    • Short Signatures from the Weil Pairing
    • ASIACRYPT 2001, Springer-Verlag
    • D. Boneh, B. Lynn, and H. Shacham, "Short Signatures from the Weil Pairing", ASIACRYPT 2001, LNCS 2248, pp.514-532, Springer-Verlag, 2001.
    • (2001) LNCS , vol.2248 , pp. 514-532
    • Boneh, D.1    Lynn, B.2    Shacham, H.3
  • 5
    • 84947743704 scopus 로고    scopus 로고
    • Efficient elliptic curve exponentiation using mixed coordinates
    • Asiacrypt'98, Springer-Verlag
    • H. Cohen, A. Miyaji and T. Ono, "Efficient elliptic curve exponentiation using mixed coordinates", Asiacrypt'98, LNCS 1514, pp.51-65, Springer-Verlag, 1998.
    • (1998) LNCS , vol.1514 , pp. 51-65
    • Cohen, H.1    Miyaji, A.2    Ono, T.3
  • 7
    • 0032649638 scopus 로고    scopus 로고
    • The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems
    • G. Frey, M. Müller, and H. Rück, "The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems", IEEE Trans. on Information Theory, vol.45, pp.1717-1718, 1999.
    • (1999) IEEE Trans. on Information Theory , vol.45 , pp. 1717-1718
    • Frey, G.1    Müller, M.2    Rück, H.3
  • 8
    • 84946832010 scopus 로고    scopus 로고
    • Supersingular Curves in Cryptography
    • Asiacrypt 2001, Springer-Verlag
    • S.D. Galbraith, "Supersingular Curves in Cryptography", Asiacrypt 2001, LNCS 2248, pp.495-513, Springer-Verlag, 2001.
    • (2001) LNCS , vol.2248 , pp. 495-513
    • Galbraith, S.D.1
  • 9
    • 82955246861 scopus 로고    scopus 로고
    • Implementing the Tate pairing
    • ANTS V, Springer-Verlag
    • S. D. Galbraith, K. Harrison, and D. Soldera, "Implementing the Tate pairing", ANTS V, LNCS 2369, pp.324-337, Springer-Verlag, 2002.
    • (2002) LNCS , vol.2369 , pp. 324-337
    • Galbraith, S.D.1    Harrison, K.2    Soldera, D.3
  • 12
    • 84949515158 scopus 로고    scopus 로고
    • Fast Implementation of Public-Key Cryptography on DSP TMS320C6201
    • CHES'99
    • K. Itoh, M. Takenaka, N. Torii, S. Temma, and Y. Kurihara, "Fast Implementation of Public-Key Cryptography on DSP TMS320C6201", CHES'99, LNCS 1717, pp.61-72, 1999.
    • (1999) LNCS , vol.1717 , pp. 61-72
    • Itoh, K.1    Takenaka, M.2    Torii, N.3    Temma, S.4    Kurihara, Y.5
  • 13
    • 84946844750 scopus 로고    scopus 로고
    • A One Round Protocol for Tripartite Diffie-Hellman
    • ANTS IV, Springer-Verlag
    • A. Joux, "A One Round Protocol for Tripartite Diffie-Hellman", ANTS IV, LNCS 1838, pp.385-393, Springer-Verlag, 2000.
    • (2000) LNCS , vol.1838 , pp. 385-393
    • Joux, A.1
  • 14
    • 84958550160 scopus 로고    scopus 로고
    • The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems (survey)
    • ANTS V, Springer-Verlag
    • A. Joux, "The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems (survey)", ANTS V, LNCS 2369, pp.20-32, Springer-Verlag, 2002.
    • (2002) LNCS , vol.2369 , pp. 20-32
    • Joux, A.1
  • 15
    • 84968503742 scopus 로고
    • Elliptic curve cryptosystems
    • N. Koblitz, "Elliptic curve cryptosystems", Math. of Comp., vol.48, pp.203-209, 1987.
    • (1987) Math. of Comp. , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 17
    • 85015402934 scopus 로고
    • Use of elliptic curves in cryptography
    • CRYPTO'85, Springer-Verlag
    • V. Miller, "Use of elliptic curves in cryptography", CRYPTO'85, LNCS 218. p.417-426, Springer-Verlag, 1986.
    • (1986) LNCS , vol.218 , pp. 417-426
    • Miller, V.1
  • 18
    • 0035336179 scopus 로고    scopus 로고
    • New explicit conditions of elliptic curve traces for FR-reduction
    • May
    • A. Miyaji, M. Nakabayashi, and S. Takano, "New explicit conditions of elliptic curve traces for FR-reduction", IEICE Trans. Fundamentals, E84-A(5), May, 2001.
    • (2001) IEICE Trans. Fundamentals , vol.E84-A , Issue.5
    • Miyaji, A.1    Nakabayashi, M.2    Takano, S.3
  • 19
    • 0027662341 scopus 로고
    • Reducing Elliptic Curve Logarithms to Logarithms in a Finite Field
    • A. Menezes, T. Okamoto, and S. Vanstone, "Reducing Elliptic Curve Logarithms to Logarithms in a Finite Field", IEEE Trans. on Information Theory, vol.39, pp.1639-1646, 1993.
    • (1993) IEEE Trans. on Information Theory , vol.39 , pp. 1639-1646
    • Menezes, A.1    Okamoto, T.2    Vanstone, S.3
  • 21
    • 84937389342 scopus 로고    scopus 로고
    • The Gap Problems: A new class of problems for the security of cryptographic primitives
    • PKC 2001, Springer-Verlag
    • T. Okamoto, P. Pointcheval, "The Gap Problems: a new class of problems for the security of cryptographic primitives", PKC 2001, LNCS 1992, pp.104-118, Springer-Verlag, 2001.
    • (2001) LNCS , vol.1992 , pp. 104-118
    • Okamoto, T.1    Pointcheval, P.2
  • 23
    • 3142668308 scopus 로고    scopus 로고
    • Hardware Implementation of Finite Fields of Characteristic Three
    • D. Page, and N. Smart, "Hardware Implementation of Finite Fields of Characteristic Three", to appear in the proceedings of CHES 2002.
    • Proceedings of CHES 2002
    • Page, D.1    Smart, N.2
  • 28
    • 84946849368 scopus 로고    scopus 로고
    • Self-Blindable Credential Certificates from the Weil pairing
    • ASIACRYPT 2001, Springer-Verlag
    • E. R. Verheul, "Self-Blindable Credential Certificates from the Weil pairing", ASIACRYPT 2001, LNCS 2248, pp.533-551, Springer-Verlag, 2001.
    • (2001) LNCS , vol.2248 , pp. 533-551
    • Verheul, E.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.