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Volumn 5011 LNCS, Issue , 2008, Pages 60-73

Abelian varieties with prescribed embedding degree

Author keywords

[No Author keywords available]

Indexed keywords

CM-METHODS; Q-WEIL NUMBER;

EID: 44649167142     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-79456-1_3     Document Type: Conference Paper
Times cited : (17)

References (14)
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    • Boneh, D., Goh, E.-J., Nissim, K.: Evaluating 2-DNFformulas on ciphertexts. In: Kilian, J. (ed.) TCC 2005. LNCS, 3378, pp. 325-341. Springer, Heidelberg (2005)
    • Boneh, D., Goh, E.-J., Nissim, K.: Evaluating 2-DNFformulas on ciphertexts. In: Kilian, J. (ed.) TCC 2005. LNCS, vol. 3378, pp. 325-341. Springer, Heidelberg (2005)
  • 2
    • 44649144048 scopus 로고    scopus 로고
    • Freeman, D., Scott, M., Teske, E.: A taxonomy of pairing-friendly elliptic curves. In: Cryptology eprint 2006/371, http://eprint.iacr.org
    • Freeman, D., Scott, M., Teske, E.: A taxonomy of pairing-friendly elliptic curves. In: Cryptology eprint 2006/371, http://eprint.iacr.org
  • 3
    • 84968502759 scopus 로고
    • A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves
    • Frey, G., Rück, H.: A remark concerning m-divisibility and the discrete logarithm 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.2
  • 4
    • 84946832010 scopus 로고    scopus 로고
    • Supersingular curves in cryptography
    • Boyd, C, ed, ASI-ACRYPT 2001, Springer, Heidelberg
    • Galbraith, S.: Supersingular curves in cryptography. In: Boyd, C. (ed.) ASI-ACRYPT 2001. LNCS, vol. 2248, pp. 495-513. Springer, Heidelberg (2001)
    • (2001) LNCS , vol.2248 , pp. 495-513
    • Galbraith, S.1
  • 5
    • 11244319809 scopus 로고    scopus 로고
    • Construction of CM Picard curves
    • Koike, K., Weng, A.: Construction of CM Picard curves. Math. Comp. 74, 499-518 (2004)
    • (2004) Math. Comp , vol.74 , pp. 499-518
    • Koike, K.1    Weng, A.2
  • 7
    • 33746100516 scopus 로고    scopus 로고
    • Cryptography from pairings
    • Blake, I.F, Seroussi, G, Smart, N.P, eds, Cambridge University Press, Cambridge
    • Paterson, K.: Cryptography from pairings. In: Blake, I.F., Seroussi, G., Smart, N.P. (eds.) Advances in Elliptic Curve Cryptography, pp. 215-251. Cambridge University Press, Cambridge (2005)
    • (2005) Advances in Elliptic Curve Cryptography , pp. 215-251
    • Paterson, K.1
  • 8
    • 84937426999 scopus 로고    scopus 로고
    • Supersingular abelian varieties in cryptology
    • Yung, M, ed, CRYPTO 2002, Springer, Heidelberg
    • Rubin, K., Silverberg, A.: Supersingular abelian varieties in cryptology. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 336-353. Springer, Heidelberg (2002)
    • (2002) LNCS , vol.2442 , pp. 336-353
    • Rubin, K.1    Silverberg, A.2
  • 10
    • 0003201529 scopus 로고
    • Classes d'isoǵenie des variétés abéliennes sur un corps fini (d'après T. Honda). Séminaire Bourbaki 1968/69, Springer Lect. Notes in Math. 179
    • Tate, J.: Classes d'isoǵenie des variétés abéliennes sur un corps fini (d'après T. Honda). Séminaire Bourbaki 1968/69, Springer Lect. Notes in Math. 179, exposé 352 pp. 95-110 (1971)
    • (1971) exposé , vol.352 , pp. 95-110
    • Tate, J.1
  • 11
    • 0033480564 scopus 로고    scopus 로고
    • Examples of genus two CM curves defined over the rationals
    • van Wamelen, P.: Examples of genus two CM curves defined over the rationals. Math. Comp. 68, 307-320 (1999)
    • (1999) Math. Comp , vol.68 , pp. 307-320
    • van Wamelen, P.1
  • 12
    • 0001556633 scopus 로고
    • Abelian varieties over finite fields
    • Waterhouse, W.C.: Abelian varieties over finite fields. Ann. Sci. École Norm. Sup. 2(4), 521-560 (1969)
    • (1969) Ann. Sci. École Norm. Sup , vol.2 , Issue.4 , pp. 521-560
    • Waterhouse, W.C.1
  • 13
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    • Constructing hyperelliptic curves of genus 2 suitable for cryptography
    • Weng, A.: Constructing hyperelliptic curves of genus 2 suitable for cryptography. Math. Comp. 72, 435-458 (2003)
    • (2003) Math. Comp , vol.72 , pp. 435-458
    • Weng, A.1
  • 14
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    • Weng, A.: Hyperelliptic CM-curves of genus 3. Journal of the Ramanujan Mathematical Society 16(4), 339-372 (2001)
    • Weng, A.: Hyperelliptic CM-curves of genus 3. Journal of the Ramanujan Mathematical Society 16(4), 339-372 (2001)


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