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Volumn 2259, Issue , 2001, Pages 181-189

Two topics in hyperelliptic cryptography

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY;

EID: 23044531187     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45537-x_14     Document Type: Conference Paper
Times cited : (10)

References (19)
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  • 2
    • 84968494137 scopus 로고
    • Computing in the Jacobian of a hyperelliptic curve
    • D.G. Cantor. Computing in the Jacobian of a hyperelliptic curve. Math. Comp., 48, 95-101, 1987.
    • (1987) Math. Comp. , vol.48 , pp. 95-101
    • Cantor, D.G.1
  • 3
    • 0001113371 scopus 로고    scopus 로고
    • An extension of Satoh’s algorithm and its implementation
    • M. Fouquet, P. Gaudry and R. Harley. An extension of Satoh’s algorithm and its implementation. J. Ramanujan Math. Soc., 15, 281-318, 2000.
    • (2000) J. Ramanujan Math. Soc. , vol.15 , pp. 281-318
    • Fouquet, M.1    Gaudry, P.2    Harley, R.3
  • 4
    • 84968502759 scopus 로고
    • A remark concerning m-divisibility and the discrete logarithm problem in the divisor class group of curves
    • G. Frey and H.-G. Rück. A remark concerning m-divisibility and the discrete logarithm problem in the divisor class group of curves. Math. Comp., 62, 865-874, 1994.
    • (1994) Math. Comp. , vol.62 , pp. 865-874
    • Frey, G.1    Rück, H.-G.2
  • 5
    • 84949294875 scopus 로고    scopus 로고
    • Applications of arithmetical geometry to cryptographic constructions
    • G. Frey, Applications of arithmetical geometry to cryptographic constructions, Preprint, 2000.
    • (2000) Preprint
    • Frey, G.1
  • 7
    • 84948978775 scopus 로고    scopus 로고
    • An algorithm for solving the discrete log problem on hyperelliptic curves
    • Springer-Verlag LNCS
    • P. Gaudry. An algorithm for solving the discrete log problem on hyperelliptic curves. Advances in Cryptology,EUR OCRYPT 2000, Springer-Verlag LNCS 1807, 19-34, 2000.
    • (2000) Advances in Cryptology,Eur OCRYPT 2000 , vol.1807 , pp. 19-34
    • Gaudry, P.1
  • 8
    • 84946825131 scopus 로고    scopus 로고
    • Counting points on hyperelliptic curves over finite fields
    • Springer-Verlag LNCS
    • P. Gaudry and R. Harley. Counting points on hyperelliptic curves over finite fields. ANTS-IV, Springer-Verlag LNCS 1838, 313-332, 2000.
    • (2000) ANTS-IV , vol.1838 , pp. 313-332
    • Gaudry, P.1    Harley, R.2
  • 9
    • 84945147855 scopus 로고    scopus 로고
    • Constructive and destructive facets of Weil descent on elliptic curves
    • P. Gaudry, F. Hess and N.P. Smart. Constructive and destructive facets of Weil descent on elliptic curves. To appear J. Cryptology.
    • To Appear J. Cryptology
    • Gaudry, P.1    Hess, F.2    Smart, N.P.3
  • 10
    • 84949294877 scopus 로고    scopus 로고
    • Counting points on hyperelliptic curves using Monsky-Washnitzer cohomology
    • K. Kedlaya. Counting points on hyperelliptic curves using Monsky-Washnitzer cohomology. Preprint 2001.
    • (2001) Preprint
    • Kedlaya, K.1
  • 11
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    • Elliptic curve cryptosystems
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    • (1987) Math. Comp. , vol.48 , pp. 203-209
    • Koblitz, N.1
  • 12
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    • Hyperelliptic cryptosystems
    • N. Koblitz. Hyperelliptic cryptosystems. J. Cryptology, 1, 139-150, 1989.
    • (1989) J. Cryptology , vol.1 , pp. 139-150
    • Koblitz, N.1
  • 13
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    • Use of elliptic curves in cryptography
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    • Miller, V.1
  • 14
    • 0001100056 scopus 로고    scopus 로고
    • The canonical lift of an ordinary elliptic curve over a finite field and its point counting
    • T. Satoh. The canonical lift of an ordinary elliptic curve over a finite field and its point counting. J. Ramanujan Math. Soc., 15, 247-270, 2000.
    • (2000) J. Ramanujan Math. Soc , vol.15 , pp. 247-270
    • Satoh, T.1
  • 15
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    • Satoh’s algorithm in characteristic two
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  • 16
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    • On the performance of hyperelliptic cryptosystems
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    • N.P. Smart. On the performance of hyperelliptic cryptosystems. Advances in Cryptology,EUR OCRYPT’99, Springer-Verlag, LNCS 1592, 165-175, 1999.
    • (1999) Advances in Cryptology,Eur OCRYPT’99 , vol.1592 , pp. 165-175
    • Smart, N.P.1
  • 19
    • 84949294879 scopus 로고    scopus 로고
    • Constructing hyperelliptic curves of genus 2 suitable for cryptography
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    • (2000) Preprint
    • Weng, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.