메뉴 건너뛰기




Volumn 2894, Issue , 2003, Pages 93-110

Parallelizing explicit formula for arithmetic in the Jacobian of hyperelliptic curves

Author keywords

Encapsulated add and double; Explicit formula; Hyperelliptic curve cryptography; Jacobian; Parallel algorithm

Indexed keywords

CRYPTOGRAPHY; GEOMETRY; PARALLEL ALGORITHMS; SECURITY OF DATA; SIDE CHANNEL ATTACK;

EID: 0345058969     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-40061-5_6     Document Type: Article
Times cited : (13)

References (24)
  • 1
    • 84968494137 scopus 로고
    • Computing in the Jacobian of a Hyperelliptic curve
    • D. G. Cantor. Computing in the Jacobian of a Hyperelliptic curve. In Mathematics of Computation, volume 48, pages 95-101, 1987.
    • (1987) Mathematics of Computation , vol.48 , pp. 95-101
    • Cantor, D.G.1
  • 3
    • 84880293917 scopus 로고    scopus 로고
    • Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems
    • J.-S. Coron. Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems. Proceedings of CHES 1999, pp 292-302, 1999.
    • (1999) Proceedings of CHES 1999 , pp. 292-302
    • Coron, J.-S.1
  • 4
    • 84946825131 scopus 로고    scopus 로고
    • Counting Points on Hyperelliptic Curves over Finite Fields
    • ANTS IV, Berlin, Springer-Verlag
    • P. Gaudry and R. Harley Counting Points on Hyperelliptic Curves over Finite Fields. In ANTS IV, volume 1838 of LNCS; pp 297-312, Berlin, 2000, Springer-Verlag.
    • (2000) LNCS , vol.1838 , pp. 297-312
    • Gaudry, P.1    Harley, R.2
  • 7
    • 84974665915 scopus 로고    scopus 로고
    • Improved Elliptic Curve Multiplication Methods Resistant Against Side Channel Attacks
    • Proceedings of Indocrypt 2002
    • T. Izu, B. Möller and T. Takagi. Improved Elliptic Curve Multiplication Methods Resistant Against Side Channel Attacks. Proceedings of Indocrypt 2002, LNCS 2551, pp 296-313.
    • LNCS , vol.2551 , pp. 296-313
    • Izu, T.1    Möller, B.2    Takagi, T.3
  • 8
    • 0024864204 scopus 로고
    • Hyperelliptic Cryptosystems
    • N. Koblitz. Hyperelliptic Cryptosystems. In Journal of Cryptology, 1: pages 139-150, 1989.
    • (1989) Journal of Cryptology , vol.1 , pp. 139-150
    • Koblitz, N.1
  • 11
    • 21744445228 scopus 로고    scopus 로고
    • Efficient Arithmetic on Genus 2 Curves over Finite Fields via Explicit Formulae
    • T. Lange. Efficient Arithmetic on Genus 2 Curves over Finite Fields via Explicit Formulae. Cryptology ePrint Archive, Report 2002/121, 2002. http://eprint.iacr.org/.
    • (2002) Cryptology ePrint Archive, Report 2002/121
    • Lange, T.1
  • 12
    • 21444461295 scopus 로고    scopus 로고
    • Inversion-free Arithmetic on Genus 2 Hyperelliptic Curves
    • T. Lange. Inversion-free Arithmetic on Genus 2 Hyperelliptic Curves. Cryptology ePrint Archive, Report 2002/147, 2002. http://eprint.iacr.org/.
    • (2002) Cryptology ePrint Archive, Report 2002/147
    • Lange, T.1
  • 13
    • 23044490544 scopus 로고    scopus 로고
    • Weighted Co-ordinates on Genus 2 Hyperelliptic Curves
    • T. Lange. Weighted Co-ordinates on Genus 2 Hyperelliptic Curves. Cryptology ePrint Archive, Report 2002/153, 2002. http://eprint.iacr.org/.
    • (2002) Cryptology ePrint Archive, Report 2002/153
    • Lange, T.1
  • 14
    • 3042578346 scopus 로고    scopus 로고
    • Fast Genus Two Hyperelliptic Curve Cryptosystems
    • K. Matsuo, J. Chao and S. Tsujii. Fast Genus Two Hyperelliptic Curve Cryptosystems. In ISEC2001, IEICE,2001.
    • (2001) ISEC2001, IEICE
    • Matsuo, K.1    Chao, J.2    Tsujii, S.3
  • 17
    • 35248868367 scopus 로고    scopus 로고
    • IACR ePrint Archive
    • Also available at IACR ePrint Archive, http://eprint.iacr.org/.
  • 19
    • 84968484435 scopus 로고
    • Speeding the Pollard and Elliptic Curve Methods for Factorisation
    • P. Montgomery. Speeding the Pollard and Elliptic Curve Methods for Factorisation. In Math. Comp., vol 48, pp 243-264, 1987.
    • (1987) Math. Comp. , vol.48 , pp. 243-264
    • Montgomery, P.1
  • 20
    • 84946828690 scopus 로고    scopus 로고
    • Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves
    • ANTS IV, Berlin Springer-Verlag
    • K. Nagao. Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves. ANTS IV, LNCS 1838, Berlin 2000, Springer-Verlag.
    • (2000) LNCS , vol.1838
    • Nagao, K.1
  • 24
    • 3042539163 scopus 로고    scopus 로고
    • Improving Harley Algorithms for Jacobians of Genus 2 Hyperelliptic Curves
    • ICICE, Japan, in Japanese
    • M. Takahashi. Improving Harley Algorithms for Jacobians of Genus 2 Hyperelliptic Curves. In Proc of SCIS 2002, ICICE, Japan, 2002, in Japanese.
    • (2002) Proc of SCIS 2002
    • Takahashi, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.