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Volumn 3076, Issue , 2004, Pages 169-183

Improved Weil and Tate pairings for elliptic and hyperelliptic curves

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; GEOMETRY; NUMBER THEORY; PUBLIC KEY CRYPTOGRAPHY;

EID: 35048886487     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-24847-7_12     Document Type: Article
Times cited : (19)

References (11)
  • 1
    • 84937428623 scopus 로고    scopus 로고
    • Efficient algorithms for pairing-based cryptosystems
    • M. Yung, editor, Advances in Cryptology - Crypto 2002, Springer-Verlag
    • Paulo S.L.M. Barreto, Hae Y. Kim, Ben Lynn, and Michael Scott. Efficient algorithms for pairing-based cryptosystems. In M. Yung, editor, Advances in Cryptology - Crypto 2002, pages 354-368. LNCS 2442, Springer-Verlag, 2002.
    • (2002) LNCS , vol.2442 , pp. 354-368
    • Barreto, P.S.L.M.1    Kim, H.Y.2    Lynn, B.3    Scott, M.4
  • 2
    • 35048900981 scopus 로고    scopus 로고
    • On the Selection of Pairing-Friendly Groups
    • M. Matsui and R. Zuccherato, editors, Selected Areas in Cryptography - SAC 2003, Springer-Verlag
    • Paulo S.L.M. Barreto, Ben Lynn, and Michael Scott. On the Selection of Pairing-Friendly Groups. In: M. Matsui and R. Zuccherato, editors, Selected Areas in Cryptography - SAC 2003, LNCS 3006, Springer-Verlag, 2004.
    • (2004) LNCS , vol.3006
    • Barreto, P.S.L.M.1    Lynn, B.2    Scott, M.3
  • 3
    • 0037623983 scopus 로고    scopus 로고
    • Identity-based encryption from the Weil pairing
    • electronic
    • Dan Boneh and Matthew Franklin. Identity-based encryption from the Weil pairing. SIAM J. Comput., 32(3):586-615 (electronic), 2003.
    • (2003) SIAM J. Comput. , vol.32 , Issue.3 , pp. 586-615
    • Boneh, D.1    Franklin, M.2
  • 4
    • 84968494137 scopus 로고
    • Computing in the Jacobian of a hyperelliptic curve
    • David G. Cantor. Computing in the Jacobian of a hyperelliptic curve. Math. Comp., 48(177):95-101, 1987.
    • (1987) Math. Comp. , vol.48 , Issue.177 , pp. 95-101
    • Cantor, D.G.1
  • 5
    • 0345490614 scopus 로고    scopus 로고
    • p - x + d
    • Advances in Cryptology - Asiacrypt 2003, Springer-Verlag
    • p - x + d. Advances in Cryptology - Asiacrypt 2003, pages 111-123, LNCS 2894, Springer-Verlag, 2003.
    • (2003) LNCS , vol.2894 , pp. 111-123
    • Duursma, I.M.1    Lee, H.-S.2
  • 6
    • 35248862491 scopus 로고    scopus 로고
    • Fast elliptic curve arithmetic and improved Weil pairing evaluation
    • Marc Joye, editor, Topics in Cryptology - CT-RSA 2003, The Cryptographers' Track at the RSA Conference 2003, San Francisco, CA, USA, April 13-17, 2003, Proceedings, Springer-Verlag
    • Kirsten Eisenträger, Kristin Lauter, and Peter L. Montgomery. Fast elliptic curve arithmetic and improved Weil pairing evaluation. In Marc Joye, editor, Topics in Cryptology - CT-RSA 2003, The Cryptographers' Track at the RSA Conference 2003, San Francisco, CA, USA, April 13-17, 2003, Proceedings, pages 343-354, LNCS 2612, Springer-Verlag, 2003.
    • (2003) LNCS , vol.2612 , pp. 343-354
    • Eisenträger, K.1    Lauter, K.2    Montgomery, P.L.3
  • 7
    • 84968502759 scopus 로고
    • A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves
    • Gerhard Frey and Hans-Georg Rück. A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves. Math. Comp., 62(206):865-874, 1994.
    • (1994) Math. Comp. , vol.62 , Issue.206 , pp. 865-874
    • Frey, G.1    Rück, H.-G.2
  • 8
    • 82955246861 scopus 로고    scopus 로고
    • Implementing the Tate Pairing
    • Claus Fieker and David R. Kohel, editors, Algorithmic Number Theory, 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002 Springer-Verlag
    • Steven Galbraith, Keith Harrison, and David Soldera. Implementing the Tate Pairing. In Claus Fieker and David R. Kohel, editors, Algorithmic Number Theory, 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002, pages 324-337. LNCS 2369, Springer-Verlag, 2002.
    • (2002) LNCS , vol.2369 , pp. 324-337
    • Galbraith, S.1    Harrison, K.2    Soldera, D.3
  • 9
    • 84958550160 scopus 로고    scopus 로고
    • The Weil and Tate pairings as building blocks for public key cryptosystems (survey)
    • Claus Fieker and David R. Kohel, editors, Algorithmic Number Theory, 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002, Springer-Verlag
    • Antoine Joux. The Weil and Tate pairings as building blocks for public key cryptosystems (survey). In Claus Fieker and David R. Kohel, editors, Algorithmic Number Theory, 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002, pages 20-32. LNCS 2369, Springer-Verlag, 2002.
    • (2002) LNCS , vol.2369 , pp. 20-32
    • Joux, A.1
  • 11
    • 0003357475 scopus 로고
    • The Arithmetic of Elliptic Curves
    • Springer-Verlag
    • Joseph Silverman. The Arithmetic of Elliptic Curves. GTM 106, Springer-Verlag, 1986.
    • (1986) GTM , vol.106
    • Silverman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.