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Volumn , Issue , 2007, Pages 200-243

Fast arithmetic on hyperelliptic curves via continued fraction expansions

Author keywords

Cantor s algorithm; Continued fraction expansion; Hyperelliptic curve; Infrastructure; NUCOMP; Reduced divisor

Indexed keywords


EID: 85076879913     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812772022_0013     Document Type: Chapter
Times cited : (17)

References (17)
  • 1
    • 33748775925 scopus 로고
    • Quadratische Körper im Gebiete der höheren Kongruenzen
    • E. Artin, Quadratische Körper im Gebiete der höheren Kongruenzen. Math. Zeitschr. 19 (1924), 153-206.
    • (1924) Math. Zeitschr. , vol.19 , pp. 153-206
    • Artin, E.1
  • 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 (1987), 95-101.
    • (1987) Math. Comp. , vol.48 , pp. 95-101
    • Cantor, D.G.1
  • 3
    • 28444450250 scopus 로고    scopus 로고
    • How to distinguish hyperelliptic curves in even characteristic
    • De Gruyter (Berlin)
    • A. Enge, How to distinguish hyperelliptic curves in even characteristic. Public-Key Cryptography and Computational Number Theory. De Gruyter (Berlin), 2001, 49-58.
    • (2001) Public-Key Cryptography and Computational Number Theory , pp. 49-58
    • Enge, A.1
  • 7
    • 85115935739 scopus 로고    scopus 로고
    • Cryptographic protocols on real and imaginary hyperelliptic curves
    • M. J. Jacobson, Jr., R. Scheidler, and A. Stein, Cryptographic protocols on real and imaginary hyperelliptic curves, submitted to Advances Math. Comm., 2006.
    • (2006) Advances Math. Comm.
    • Jacobson, M.J.1    Scheidler, R.2    Stein, A.3
  • 8
    • 32844467722 scopus 로고    scopus 로고
    • An improved real quadratic field based key exchange procedure
    • M. J. Jacobson, Jr., R. Scheidler and H. C. Williams, An improved real quadratic field based key exchange procedure. J. Cryptology 19 (2006), 211-239.
    • (2006) J. Cryptology , vol.19 , pp. 211-239
    • Jacobson, M.J.1    Scheidler, R.2    Williams, H.C.3
  • 9
    • 32844473662 scopus 로고    scopus 로고
    • NIST Special Publication, January
    • National Institute of Standards and Technology (NIST), Recommendation on key establishment schemes, NIST Special Publication 800-56, January 2003.
    • (2003) Recommendation on key establishment schemes , pp. 800-856
  • 10
    • 0040575045 scopus 로고    scopus 로고
    • Real and imaginary quadratic representations of hyperelliptic function fields
    • S. Paulus and H.-G. Rück, Real and imaginary quadratic representations of hyperelliptic function fields, Math. Comp. 68 (1999), 1233-1241.
    • (1999) Math. Comp. , vol.68 , pp. 1233-1241
    • Paulus, S.1    Rück, H.-G.2
  • 11
    • 0141907348 scopus 로고    scopus 로고
    • A note on NUCOMP
    • A. J. van der Poorten, A note on NUCOMP. Math. Comp. 72 (2003), 1935-1946.
    • (2003) Math. Comp. , vol.72 , pp. 1935-1946
    • Van Der Poorten, A.J.1
  • 15
    • 4244162562 scopus 로고    scopus 로고
    • Sharp upper bounds for arithmetics in hyperelliptic function fields
    • A. Stein. Sharp upper bounds for arithmetics in hyperelliptic function fields. J. Ramanujan Math. Soc. 16 (2001), 1-86.
    • (2001) J. Ramanujan Math. Soc. , vol.16 , pp. 1-86
    • Stein, A.1
  • 16
    • 0033243810 scopus 로고    scopus 로고
    • Some methods for evaluating the regulator of a real quadratic function field
    • A. Stein and H. C. Williams, Some methods for evaluating the regulator of a real quadratic function field. Experiment. Math. 8 (1999), 119-133.
    • (1999) Experiment. Math. , vol.8 , pp. 119-133
    • Stein, A.1    Williams, H.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.