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Volumn 5011 LNCS, Issue , 2008, Pages 342-356

Efficient hyperelliptic arithmetic using balanced representation for divisors

Author keywords

[No Author keywords available]

Indexed keywords

HYPERELLIPTIC CURVE;

EID: 44649099054     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-79456-1_23     Document Type: Conference Paper
Times cited : (26)

References (11)
  • 1
    • 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
  • 2
    • 84968494137 scopus 로고
    • Computing in the Jacobian of a hyperelliptic curve
    • Cantor, D.G.: 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
  • 4
    • 38349058155 scopus 로고    scopus 로고
    • Explicit formulas for real hyperelliptic curves of genus 2 in affine representation
    • Carlet, C, Sunar, B, eds, WAIFI 2007, Springer, Heidelberg
    • Erickson, S., Jacobson, M.J., Shang, N., Shen, S., Stein, A.: Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. In: Carlet, C., Sunar, B. (eds.) WAIFI 2007. LNCS, vol. 4547, pp. 202-218. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4547 , pp. 202-218
    • Erickson, S.1    Jacobson, M.J.2    Shang, N.3    Shen, S.4    Stein, A.5
  • 5
    • 44649093441 scopus 로고    scopus 로고
    • Galbraith, S.D, Pujolas, J, Ritzenthaler, C, Smith, B, Distortion maps for genus two curves
    • Galbraith, S.D., Pujolas, J., Ritzenthaler, C., Smith, B.: Distortion maps for genus two curves
  • 6
    • 85076879913 scopus 로고    scopus 로고
    • Fast arithmetic on hyperelliptic curves via continued fraction expansions
    • Shaska, T, Huffman, W, Joyner, D, Ustimenko, V, eds, Advances in Coding Theory and Cryptography, World Scientific Publishing, Singapore
    • Jacobson, M., Scheidler, R., Stein, A.: Fast arithmetic on hyperelliptic curves via continued fraction expansions. In: Shaska, T., Huffman, W., Joyner, D., Ustimenko, V. (eds.) Advances in Coding Theory and Cryptography. Series on Coding Theory and Cryptology, vol. 3, pp. 201-244. World Scientific Publishing, Singapore (2007)
    • (2007) Series on Coding Theory and Cryptology , vol.3 , pp. 201-244
    • Jacobson, M.1    Scheidler, R.2    Stein, A.3
  • 7
    • 44649193998 scopus 로고    scopus 로고
    • Cryptographic protocols on real hyperelliptic curves
    • Jacobson, M.J., Scheidler, R., Stein, A.: Cryptographic protocols on real hyperelliptic curves. Adv. Math. Commun. 1(2), 197-221 (2007)
    • (2007) Adv. Math. Commun , vol.1 , Issue.2 , pp. 197-221
    • Jacobson, M.J.1    Scheidler, R.2    Stein, A.3
  • 8
    • 13644249451 scopus 로고    scopus 로고
    • Formulae for arithmetic on genus 2 hyperelliptic curves
    • Lange, T.: Formulae for arithmetic on genus 2 hyperelliptic curves. Appl. Algebra Engrg. Comm. Comput. 15(5), 295-328 (2005)
    • (2005) Appl. Algebra Engrg. Comm. Comput , vol.15 , Issue.5 , pp. 295-328
    • Lange, T.1
  • 9
    • 0040575045 scopus 로고    scopus 로고
    • Real and imaginary quadratic representations of hyperel-liptic function fields
    • Paulus, S., Rück, H.-G.: Real and imaginary quadratic representations of hyperel-liptic function fields. Math. Comp. 68(227), 1233-1241 (1999)
    • (1999) Math. Comp , vol.68 , Issue.227 , pp. 1233-1241
    • Paulus, S.1    Rück, H.-G.2
  • 10
    • 84947748768 scopus 로고    scopus 로고
    • Paulus, S., Stein, A.: Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves. In: Buhler, J.P. (ed.) ANTS 1998. LNCS, 1423, pp. 576-591. Springer, Heidelberg (1998)
    • Paulus, S., Stein, A.: Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves. In: Buhler, J.P. (ed.) ANTS 1998. LNCS, vol. 1423, pp. 576-591. Springer, Heidelberg (1998)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.