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Volumn 8260 LNCS, Issue , 2013, Pages 94-107

Solving the elliptic curve discrete logarithm problem using semaev polynomials, weil descent and gröbner basis methods-an experimental study

Author keywords

[No Author keywords available]

Indexed keywords

ELLIPTIC CURVE DISCRETE LOGARITHM PROBLEMS; GROBNER BASIS; SYSTEM OF POLYNOMIAL EQUATIONS; WEIL DESCENTS;

EID: 84893386748     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-42001-6_7     Document Type: Article
Times cited : (12)

References (10)
  • 1
    • 78049343086 scopus 로고    scopus 로고
    • Hybrid approach for solving multivariate systems over finite fields
    • Bettale, L., Faugere, J.-C., Perret, L.: Hybrid approach for solving multivariate systems over finite fields. J. Math. Crypt. 3, 177-197 (2009)
    • (2009) J. Math. Crypt. , vol.3 , pp. 177-197
    • Bettale, L.1    Faugere, J.-C.2    Perret, L.3
  • 3
    • 79957476584 scopus 로고    scopus 로고
    • On the discrete logarithm problem in elliptic curves
    • Diem, C.: On the discrete logarithm problem in elliptic curves. Compositio Mathematica 147(1), 75-104 (2011)
    • (2011) Compositio Mathematica , vol.147 , Issue.1 , pp. 75-104
    • Diem, C.1
  • 4
    • 0033143274 scopus 로고    scopus 로고
    • A new efficient algorithm for computing Grobner bases (F4)
    • Faugere, J.-C.: A new efficient algorithm for computing Grobner bases (F4). Journal of Pure and Applied Algebra 139, 61-88 (1999)
    • (1999) Journal of Pure and Applied Algebra , vol.139 , pp. 61-88
    • Faugere, J.-C.1
  • 6
    • 84860003880 scopus 로고    scopus 로고
    • Improving the complexity of index calculus algorithms in elliptic curves over binary fields
    • Pointcheval, D., Johansson, T. (eds.) Springer, Heidelberg
    • Faugere, J.-C., Perret, L., Petit, C., Renault, G.: Improving the complexity of index calculus algorithms in elliptic curves over binary fields. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 27-44. Springer, Heidelberg (2012)
    • (2012) EUROCRYPT 2012. LNCS , vol.7237 , pp. 27-44
    • Faugere, J.-C.1    Perret, L.2    Petit, C.3    Renault, G.4
  • 7
    • 69849107700 scopus 로고    scopus 로고
    • Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem
    • Gaudry, P.: Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem. J. Symbolic Computation 44(12), 1690-1702 (2009)
    • (2009) J. Symbolic Computation , vol.44 , Issue.12 , pp. 1690-1702
    • Gaudry, P.1
  • 9
    • 84871537002 scopus 로고    scopus 로고
    • On polynomial systems arising from a Weil descent
    • Wang, X., Sako, K. (eds.) Springer, Heidelberg
    • Petit, C., Quisquater, J.-J.: On polynomial systems arising from a Weil descent. In: Wang, X., Sako, K. (eds.) ASIACRYPT 2012. LNCS, vol. 7658, pp. 451-466. Springer, Heidelberg (2012)
    • (2012) ASIACRYPT 2012. LNCS , vol.7658 , pp. 451-466
    • Petit, C.1    Quisquater, J.-J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.