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Volumn 6487 LNCS, Issue , 2010, Pages 312-326

Generating more Kawazoe-Takahashi genus 2 pairing-friendly hyperelliptic curves

Author keywords

hyperelliptic curves; pairing friendly curves

Indexed keywords

HYPERELLIPTIC CURVE; PAIRING-FRIENDLY CURVES; PARAMETERIZING;

EID: 78650288523     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-17455-1_20     Document Type: Conference Paper
Times cited : (8)

References (25)
  • 2
    • 35248835023 scopus 로고    scopus 로고
    • Constructing elliptic curves with prescribed embedding degree
    • Cimato, S., Galdi, C., Persiano, G. (eds. Springer, Heidelberg
    • Barreto, P.S.L.M., Lynn, B., Scott, M.: Constructing elliptic curves with prescribed embedding degree. In: Cimato, S., Galdi, C., Persiano, G. (eds.) SCN 2002. LNCS, vol. 2576, pp. 263-273. Springer, Heidelberg (2002)
    • (2002) SCN 2002 LNCS , vol.2576 , pp. 263-273
    • 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
    • Boneh, D., Franklin, M.: Identity-based encryption from the Weil pairing. SIAM Journal of Computing 32(3), 586-615 (2003)
    • (2003) SIAM Journal of Computing , vol.32 , Issue.3 , pp. 586-615
    • Boneh, D.1    Franklin, M.2
  • 4
    • 84946840347 scopus 로고    scopus 로고
    • Short Signatures from the Weil Pairing
    • Advances in Cryptology - ASIACRYPT 2001
    • Boneh, D., Lynn, B., Shacham, H.: Short signatures from the Weil Pairing. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 514-532. Springer, Heidelberg (2001) (Pubitemid 33371204)
    • (2002) Lecture Notes in Computer Science , Issue.2248 , pp. 514-532
    • Boneh, D.1    Lynn, B.2    Shacham, H.3
  • 5
    • 0031232428 scopus 로고    scopus 로고
    • The magma algebra system I the user language
    • Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language. J. Symbolic Comput. 24(3-4), 235-265 (1997)
    • (1997) J. Symbolic Comput. , vol.24 , Issue.3-4 , pp. 235-265
    • Bosma, W.1    Cannon, J.2    Playoust, C.3
  • 6
    • 33745604534 scopus 로고    scopus 로고
    • Pairing-friendly elliptic curves of prime order
    • Preneel, B., Tavares, S. (eds.) Springer, Heidelberg
    • Barreto, P.S.L.M., Naehrig, M.: Pairing-friendly elliptic curves of prime order. In: Preneel, B., Tavares, S. (eds.) SAC 2005. LNCS, vol. 3897, pp. 319-331. Springer, Heidelberg (2006)
    • (2006) SAC 2005 LNCS , vol.3897 , pp. 319-331
    • Barreto, P.S.L.M.1    Naehrig, M.2
  • 7
    • 23944463638 scopus 로고    scopus 로고
    • Elliptic curves suitable for pairing based cryptography
    • Brezing, F., Weng, A.: Elliptic curves suitable for pairing based cryptography. Designs Codes and Cryptography 37(1), 133-141 (2005)
    • (2005) Designs Codes and Cryptography , vol.37 , Issue.1 , pp. 133-141
    • Brezing, F.1    Weng, A.2
  • 9
    • 35048824357 scopus 로고    scopus 로고
    • 5+ax over finite prime fields
    • Matsui, M., Zuccherato, R.J. (eds.) Springer, Heidelberg (
    • 5+ax over finite prime fields. In: Matsui, M., Zuccherato, R.J. (eds.) SAC 2003. LNCS, vol. 3006, pp. 26-41. Springer, Heidelberg (2004)
    • (2004) SAC 2003 LNCS , vol.3006 , pp. 26-41
    • Furukawa, E.1    Kawazoe, M.2    Takahashi, T.3
  • 10
    • 33746705572 scopus 로고    scopus 로고
    • Constructing pairing-friendly elliptic curves with embedding degree 10
    • Hess, F., Pauli, S., Pohst, M. (eds.) Springer, Heidelberg
    • Freeman, D.: Constructing pairing-friendly elliptic curves with embedding Degree 10. In: Hess, F., Pauli, S., Pohst, M. (eds.) ANTS-VII 2006. LNCS, vol. 4076, pp. 452-465. Springer, Heidelberg (2006)
    • (2006) ANTS-VII 2006 LNCS , vol.4076 , pp. 452-465
    • Freeman, D.1
  • 11
    • 78650285151 scopus 로고    scopus 로고
    • A generalized brezing-weng method constructing ordinary pairingfriendly abelian varieties
    • Galbraith, S.D., Paterson, K.G. (eds.) Springer, Heidelberg
    • Freeman, D.: A generalized Brezing-Weng method constructing ordinary pairingfriendly abelian varieties. In: Galbraith, S.D., Paterson, K.G. (eds.) Pairing 2008. LNCS, vol. 5209, pp. 148-163. Springer, Heidelberg (2008)
    • (2008) Pairing 2008 LNCS , vol.5209 , pp. 148-163
    • Freeman, D.1
  • 12
    • 50049117602 scopus 로고    scopus 로고
    • Constructing pairing-friendly genus 2 curves with ordinary Jacobians
    • Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds Springer, Heidelberg
    • Freeman, D.: Constructing pairing-friendly genus 2 curves with ordinary Jacobians. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. LNCS, vol. 4575, pp. 152-176. Springer, Heidelberg (2007)
    • (2007) Pairing 2007 LNCS , vol.4575 , pp. 152-176
    • Freeman, D.1
  • 13
    • 44649167142 scopus 로고    scopus 로고
    • Abelian varieties with prescribed embedding degree
    • van der Poorten, A.J., Stein, A. (eds.) Springer, Heidelberg
    • Freeman, D., Stevenhagen, P., Streng, M.: Abelian varieties with prescribed embedding degree. In: van der Poorten, A.J., Stein, A. (eds.) ANTS-VIII 2008. LNCS, vol. 5011, pp. 60-73. Springer, Heidelberg (2008)
    • (2008) ANTS-VIII 2008 LNCS , vol.5011 , pp. 60-73
    • Freeman, D.1    Stevenhagen, P.2    Streng, M.3
  • 14
    • 73849107877 scopus 로고    scopus 로고
    • A Taxonomy of pairing-friendly elliptic curves
    • Freeman, D., Scott, M., Teske, E.: A Taxonomy of pairing-friendly elliptic curves. Journal of Cryptology 23(2) (2009)
    • (2009) Journal of Cryptology , vol.23 , pp. 2
    • Freeman, D.1    Scott, M.2    Teske, E.3
  • 15
    • 77953184177 scopus 로고    scopus 로고
    • Constructing pairing-friendly hyperelliptic curves using weil restrictions
    • Freeman, D., Satoh, T.: Constructing pairing-friendly hyperelliptic curves using Weil restrictions. Cryptography ePrint Archive, Report 2009/103 (2009),
    • (2009) Cryptography ePrint Archive Report 2009 , vol.103
    • Freeman, D.1    Satoh, T.2
  • 16
    • 84946844750 scopus 로고    scopus 로고
    • A one round protocol for tripartite diffie-hellman
    • Bosma, W. (ed. Springer, Heidelberg
    • Joux, A.: A One Round Protocol for Tripartite Diffie-Hellman. In: Bosma, W. (ed.) ANTS 2000. LNCS, vol. 1838, pp. 385-394. Springer, Heidelberg (2000)
    • (2000) ANTS 2000 LNCS , vol.1838 , pp. 385-394
    • Joux, A.1
  • 17
    • 52149103365 scopus 로고    scopus 로고
    • Constructing brezing-weng pairing friendly elliptic curves using elements in the cyclotomic field
    • Galbraith, S.D., Paterson, K.G. (eds.) Springer, Heidelberg
    • Kachisa, E., Schaeffer, E.F., Scott, M.: Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field. In: Galbraith, S.D., Paterson, K.G. (eds.) Pairing 2008. LNCS, vol. 5209, pp. 126-135. Springer, Heidelberg (2008)
    • (2008) Pairing 2008 LNCS , vol.5209 , pp. 126-135
    • Kachisa, E.1    Schaeffer, E.F.2    Scott, M.3
  • 18
    • 52149118038 scopus 로고    scopus 로고
    • 5 +ax
    • Galbraith, S.D., Paterson, K.G. (eds.) Springer, Heidelberg (
    • 5 + ax. In: Galbraith, S.D., Paterson, K.G. (eds.) Pairing 2008. LNCS, vol. 5209, pp. 164-177. Springer, Heidelberg (2008)
    • (2008) Pairing 2008 LNCS , vol.5209 , pp. 164-177
    • Kawazoe, M.1    Takahashi, T.2
  • 22
    • 85020598353 scopus 로고
    • Identity-Based cryptosystems and signature schemes
    • Blakely, G.R., Chaum, D. (eds.) Springer, Heidelberg (
    • Shamir, A.: Identity-Based cryptosystems and signature schemes. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47-53. Springer, Heidelberg (1985)
    • (1985) Crypto 1984 LNCS , vol.196 , pp. 47-53
    • Shamir, A.1
  • 25
    • 78650266482 scopus 로고    scopus 로고
    • Twisted Ate pairing on hyperelliptic curves and application
    • Zhang, F.: Twisted Ate pairing on hyperelliptic curves and application. Cryptology ePrint Archive Report 2008/274 (2008),
    • (2008) Cryptology ePrint Archive Report 2008 , vol.274
    • Zhang, F.1


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