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Volumn 3969 LNCS, Issue , 2006, Pages 155-163

On degrees of polynomial interpolations related to elliptic curve cryptography

Author keywords

Division polynomials; Elliptic curves; Polynomial interpolation

Indexed keywords

COMPUTER SCIENCE; CURVE FITTING; INTERPOLATION; NUMERICAL METHODS; POLYNOMIALS;

EID: 33746720140     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11779360_13     Document Type: Conference Paper
Times cited : (7)

References (10)
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    • Cassels, J. W. S.: A note on the division values of ℘(u). Proc. Cambridge Philos. Soc. 45 (1949) 167-172.
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    • Cassels, J.W.S.1
  • 2
    • 2442561528 scopus 로고    scopus 로고
    • On the interpolation of bivariate polynomials related to the Diffie-Hellman mapping
    • Kiltz, E., Winterhof, A.: On the interpolation of bivariate polynomials related to the Diffie-Hellman mapping. Bull. Austral. Math. Soc. 69 (2004) 305-315.
    • (2004) Bull. Austral. Math. Soc. , vol.69 , pp. 305-315
    • Kiltz, E.1    Winterhof, A.2
  • 3
    • 84949811945 scopus 로고    scopus 로고
    • Polynomial interpolation of the elliptic curve and XTR discrete logarithm
    • Berlin Heidelberg: Springer
    • Lange, T., Winterhof, A.: Polynomial interpolation of the elliptic curve and XTR discrete logarithm, Proc. COCOON 2002, Lect. Notes Comput Sci., 2387, 137-143, Berlin Heidelberg: Springer, 2002.
    • (2002) Proc. COCOON 2002, Lect. Notes Comput Sci. , vol.2387 , pp. 137-143
    • Lange, T.1    Winterhof, A.2
  • 4
    • 0038736946 scopus 로고    scopus 로고
    • q by boolean functions and by polynomial in several variables modulo a divisor of q - 1
    • q by boolean functions and by polynomial in several variables modulo a divisor of q - 1. Discrete. Appl. Math. 128 (2003) 193-206.
    • (2003) Discrete. Appl. Math. , vol.128 , pp. 193-206
    • Lange, T.1    Winterhof, A.2
  • 5
    • 29244434909 scopus 로고    scopus 로고
    • Interpolation of the elliptic curve Diffie-Hellman mapping
    • Berlin Heidelberg: Springer
    • Lange, T., Winterhof, A.: Interpolation of the elliptic curve Diffie-Hellman mapping, Proc. AAECC 2003, Lect. Notes Comput. Sci., 2643, 51-60, Berlin Heidelberg: Springer, 2003.
    • (2003) Proc. AAECC 2003, Lect. Notes Comput. Sci. , vol.2643 , pp. 51-60
    • Lange, T.1    Winterhof, A.2
  • 6
    • 3242690781 scopus 로고    scopus 로고
    • Generalized division polynomials
    • Satoh, T.: Generalized division polynomials. Math. Scand. 94 (2004) 161-184.
    • (2004) Math. Scand. , vol.94 , pp. 161-184
    • Satoh, T.1
  • 7
    • 0003357475 scopus 로고
    • The arithmetic of elliptic curves
    • Berlin-Heidelberg-New York: Springer
    • Silverman, J. H.: "The arithmetic of elliptic curves". GTM, 106. Berlin-Heidelberg-New York: Springer 1985.
    • (1985) GTM , vol.106
    • Silverman, J.H.1
  • 8
    • 0039033770 scopus 로고
    • Class-numbers of complex quadratic fields, Modular functions of one variable, I
    • (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), Berlin: Springer
    • Stark, H.M.: Class-numbers of complex quadratic fields, Modular functions of one variable, I, (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), Lect. Notes in Math., 320, 153-174, Berlin: Springer, 1973.
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    • Stark, H.M.1
  • 9
    • 84945129491 scopus 로고    scopus 로고
    • Evidence that XTR is more secure than supersingular elliptic: Curve cryptosystem
    • Berlin Heidelberg: Springer-Verlag
    • Verheul, E.R.: Evidence that XTR is more secure than supersingular elliptic: curve cryptosystem, Advances in cryptology - EUROCRYPT 2001, 2045, 195-210, Berlin Heidelberg: Springer-Verlag, 2001.
    • (2001) Advances in Cryptology - EUROCRYPT 2001 , vol.2045 , pp. 195-210
    • Verheul, E.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.