메뉴 건너뛰기




Volumn 5381 LNCS, Issue , 2008, Pages 18-34

Efficient pairing computation on genus 2 curves in projective coordinates

Author keywords

Efficient implementation; Genus 2 hyperelliptic curves; Miller's algorithm; Projective coordinates; Tate pairing

Indexed keywords

EFFICIENT IMPLEMENTATION; GENUS 2 HYPERELLIPTIC CURVES; MILLER'S ALGORITHM; PROJECTIVE COORDINATES; TATE PAIRING;

EID: 70350657323     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-04159-4_2     Document Type: Conference Paper
Times cited : (7)

References (32)
  • 2
    • 33847698965 scopus 로고    scopus 로고
    • Barreto, P.L.S.M., Galbraith, S., Ó hÉigeartaigh, C., Scott, M.: Efficient Pairing Computation on Supersingular Abelian Varieties. Design, Codes and Cryptography 42, 239-271 (2007)
    • Barreto, P.L.S.M., Galbraith, S., Ó hÉigeartaigh, C., Scott, M.: Efficient Pairing Computation on Supersingular Abelian Varieties. Design, Codes and Cryptography 42, 239-271 (2007)
  • 3
    • 84937428623 scopus 로고    scopus 로고
    • Efficient Algorithm for Pairing-Based Cryptosystems
    • Yung, M, ed, CRYPTO 2002, Springer, Heidelberg
    • Barreto, P.L.S.M., Kim, H.Y., Lynn, B., Scott, M.: Efficient Algorithm for Pairing-Based Cryptosystems. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, p. 354. Springer, Heidelberg (2002)
    • (2002) LNCS , vol.2442 , pp. 354
    • Barreto, P.L.S.M.1    Kim, H.Y.2    Lynn, B.3    Scott, M.4
  • 4
    • 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
  • 5
    • 84946840347 scopus 로고    scopus 로고
    • Short Signatures from the Weil Pairing
    • Boyd, C, ed, ASIACRYPT 2001, Springer, Heidelberg
    • 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)
    • (2001) LNCS , vol.2248 , pp. 514-532
    • Boneh, D.1    Lynn, B.2    Shacham, H.3
  • 6
    • 24944579882 scopus 로고    scopus 로고
    • Chatterjee, S., Sarkar, P., Barua, R.: Efficient Computation of Tate Pairing in Projective Coordinate over General Characteristic Fields. In: Park, C.-s., Chee, S. (eds.) ICISC 2004. LNCS, 3506, pp. 168-181. Springer, Heidelberg (2005)
    • Chatterjee, S., Sarkar, P., Barua, R.: Efficient Computation of Tate Pairing in Projective Coordinate over General Characteristic Fields. In: Park, C.-s., Chee, S. (eds.) ICISC 2004. LNCS, vol. 3506, pp. 168-181. Springer, Heidelberg (2005)
  • 7
    • 23944466280 scopus 로고    scopus 로고
    • Choie, Y., Lee, E.: Implementation of Tate Pairing on Hyperelliptic Curve of Genus 2. In: Lim, J.-I., Lee, D.-H. (eds.) ICISC 2003. LNCS, 2971, pp. 97-111. Springer, Heidelberg (2004)
    • Choie, Y., Lee, E.: Implementation of Tate Pairing on Hyperelliptic Curve of Genus 2. In: Lim, J.-I., Lee, D.-H. (eds.) ICISC 2003. LNCS, vol. 2971, pp. 97-111. Springer, Heidelberg (2004)
  • 9
    • 0345490614 scopus 로고    scopus 로고
    • p - x + d
    • Laih, C.-S, ed, ASIACRYPT 2003, Springer, Heidelberg
    • p - x + d. In: Laih, C.-S. (ed.) ASIACRYPT 2003. LNCS, vol. 2894, pp. 111-123. Springer, Heidelberg (2003)
    • (2003) LNCS , vol.2894 , pp. 111-123
    • Duursma, I.M.1    Lee, H.-S.2
  • 11
    • 50049117602 scopus 로고    scopus 로고
    • Freeman, D.: Constructing Pairing-Friendly Genus 2 Curves over Prime Fields with Ordinary Jacobians. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. LNCS, 4575, pp. 152-176. Springer, Heidelberg (2007)
    • Freeman, D.: Constructing Pairing-Friendly Genus 2 Curves over Prime Fields with Ordinary Jacobians. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. LNCS, vol. 4575, pp. 152-176. Springer, Heidelberg (2007)
  • 12
    • 33746737510 scopus 로고    scopus 로고
    • Frey, G., Lange, T.: Fast Bilinear Maps from The Tate-Lichtenbaum Pairing on Hyperelliptic Curves. In: Hess, F., Pauli, S., Pohst, M. (eds.) ANTS 2006. LNCS, 4076, pp. 466-479. Springer, Heidelberg (2006)
    • Frey, G., Lange, T.: Fast Bilinear Maps from The Tate-Lichtenbaum Pairing on Hyperelliptic Curves. In: Hess, F., Pauli, S., Pohst, M. (eds.) ANTS 2006. LNCS, vol. 4076, pp. 466-479. Springer, Heidelberg (2006)
  • 13
    • 84968502759 scopus 로고
    • A Remark Concerning m-Divisibility and the Discrete Logarithm Problem in the Divisor Class Group of Curves
    • Frey, G., Rück, H.-G.: A Remark Concerning m-Divisibility and the Discrete Logarithm Problem in the Divisor Class Group of Curves. Mathematics of Computation 62(206), 865-874 (1994)
    • (1994) Mathematics of Computation , vol.62 , Issue.206 , pp. 865-874
    • Frey, G.1    Rück, H.-G.2
  • 14
    • 38049150652 scopus 로고    scopus 로고
    • Ate Pairing on Hyperelliptic Curves
    • Naor, M, ed, EUROCRYPT 2007, Springer, Heidelberg
    • Granger, R., Hess, F., Oyono, R., Thériault, N., Vercauteren, F.: Ate Pairing on Hyperelliptic Curves. In: Naor, M. (ed.) EUROCRYPT 2007. LNCS, vol. 4515, pp. 430-447. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4515 , pp. 430-447
    • Granger, R.1    Hess, F.2    Oyono, R.3    Thériault, N.4    Vercauteren, F.5
  • 16
    • 38349029414 scopus 로고    scopus 로고
    • Ó hÉigeartaigh, C., Scott, M.: Pairing Calculation on Supersingular Genus 2 Curves. In: Biham, E., Youssef, A.M. (eds.) SAC 2006. LNCS, 4356, pp. 302-316. Springer, Heidelberg (2007)
    • Ó hÉigeartaigh, C., Scott, M.: Pairing Calculation on Supersingular Genus 2 Curves. In: Biham, E., Youssef, A.M. (eds.) SAC 2006. LNCS, vol. 4356, pp. 302-316. Springer, Heidelberg (2007)
  • 18
    • 70350662129 scopus 로고    scopus 로고
    • Hitt, L.: Families of Genus 2 Curves with Small Embedding Degree, Cryptology ePrint Archive, Report 2007/001 (2007), http://eprint.iacr.org/2007/ 001
    • Hitt, L.: Families of Genus 2 Curves with Small Embedding Degree, Cryptology ePrint Archive, Report 2007/001 (2007), http://eprint.iacr.org/2007/ 001
  • 19
    • 84946844750 scopus 로고    scopus 로고
    • Joux, A.: A One-Round Protocol for Tripartite Diffie-Hellman. In: Bosma, W. (ed.) ANTS 2000. LNCS 1838, 1838, pp. 385-394. Springer, Heidelberg (2000)
    • Joux, A.: A One-Round Protocol for Tripartite Diffie-Hellman. In: Bosma, W. (ed.) ANTS 2000. LNCS 1838, vol. 1838, pp. 385-394. Springer, Heidelberg (2000)
  • 21
    • 70350628767 scopus 로고    scopus 로고
    • 5 + ax, Cryptology ePrint Archive, Report 2008/026 (2008), http://eprint.iacr.org/2008/026
    • 5 + ax, Cryptology ePrint Archive, Report 2008/026 (2008), http://eprint.iacr.org/2008/026
  • 23
    • 50049130844 scopus 로고    scopus 로고
    • 7 - x ± 1. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. LNCS, 4575, pp. 349-366. Springer, Heidelberg (2007)
    • 7 - x ± 1. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds.) Pairing 2007. LNCS, vol. 4575, pp. 349-366. Springer, Heidelberg (2007)
  • 31
    • 34548111023 scopus 로고    scopus 로고
    • Scaling Security in Pairing-based Protocols, Cryptology ePrint Archive
    • Report 2005/139
    • Scott, M.: Scaling Security in Pairing-based Protocols, Cryptology ePrint Archive, Report 2005/139 (2005), http://eprint.iacr.org/2005/139
    • (2005)
    • Scott, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.