메뉴 건너뛰기




Volumn 6841 LNCS, Issue , 2011, Pages 724-742

Inverting HFE systems is quasi-polynomial for all fields

Author keywords

[No Author keywords available]

Indexed keywords

CRYPTOGRAPHY;

EID: 80051965157     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-22792-9_41     Document Type: Conference Paper
Times cited : (53)

References (21)
  • 2
    • 79952495417 scopus 로고    scopus 로고
    • Cryptanalysis of Multivariate and Odd-Characteristic HFE Variants
    • Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. Springer, Heidelberg
    • Bettale, L., Faugère, J.-C., Perret, L.: Cryptanalysis of Multivariate and Odd-Characteristic HFE Variants. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 441-458. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6571 , pp. 441-458
    • Bettale, L.1    Faugère, J.-C.2    Perret, L.3
  • 6
    • 77954402021 scopus 로고    scopus 로고
    • Growth of the ideal generated by a quadratic boolean function
    • Sendrier, N. (ed.) PQCrypto 2010. Springer, Heidelberg
    • Ding, J., Hodges, T.J., Kruglov, V.: Growth of the ideal generated by a quadratic boolean function. In: Sendrier, N. (ed.) PQCrypto 2010. LNCS, vol. 6061, pp. 13-27. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6061 , pp. 13-27
    • Ding, J.1    Hodges, T.J.2    Kruglov, V.3
  • 8
    • 56649111148 scopus 로고    scopus 로고
    • Algebraic attack on HFE revisited
    • Wu, T.-C., Lei, C.-L., Rijmen, V., Lee, D.-T. (eds.) ISC 2008. Springer, Heidelberg
    • Ding, J., Schmidt, D., Werner, F.: Algebraic attack on HFE revisited. In: Wu, T.-C., Lei, C.-L., Rijmen, V., Lee, D.-T. (eds.) ISC 2008. LNCS, vol. 5222, pp. 215-227. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5222 , pp. 215-227
    • Ding, J.1    Schmidt, D.2    Werner, F.3
  • 9
    • 78650844194 scopus 로고    scopus 로고
    • The degree of regularity of HFE systems
    • Abe, M. (ed.) ASIACRYPT 2010. Springer, Heidelberg
    • Dubois, V., Gama, N.: The degree of regularity of HFE systems. In: Abe, M. (ed.) ASIACRYPT 2010. LNCS, vol. 6477, pp. 557-576. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6477 , pp. 557-576
    • Dubois, V.1    Gama, N.2
  • 10
    • 35248840150 scopus 로고    scopus 로고
    • Algebraic cryptanalysis of hidden field equation (HFE) cryptosystems using gröbner bases
    • Boneh, D. (ed.) CRYPTO 2003. Springer, Heidelberg
    • Faugère, J.-C., Joux, A.: Algebraic cryptanalysis of hidden field equation (HFE) cryptosystems using gröbner bases. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 44-60. Springer, Heidelberg (2003)
    • (2003) LNCS , vol.2729 , pp. 44-60
    • Faugère, J.-C.1    Joux, A.2
  • 12
    • 33749551989 scopus 로고    scopus 로고
    • Inverting HFE Is Quasipolynomial
    • Dwork, C. (ed.) CRYPTO 2006. Springer, Heidelberg
    • Granboulan, L., Joux, A., Stern, J.: Inverting HFE Is Quasipolynomial. In: Dwork, C. (ed.) CRYPTO 2006. LNCS, vol. 4117, pp. 345-356. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4117 , pp. 345-356
    • Granboulan, L.1    Joux, A.2    Stern, J.3
  • 13
    • 84957060922 scopus 로고    scopus 로고
    • Cryptanalysis of the HFE Public Key Cryptosystem by Relinearization
    • Wiener, M. (ed.) CRYPTO 1999. Springer, Heidelberg
    • Kipnis, A., Shamir, A.: Cryptanalysis of the HFE Public Key Cryptosystem by Relinearization. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 19-30. Springer, Heidelberg (1999)
    • (1999) LNCS , vol.1666 , pp. 19-30
    • Kipnis, A.1    Shamir, A.2
  • 15
    • 77954565760 scopus 로고    scopus 로고
    • MXL3: An Efficient Algorithm for Computing Gröbner Bases of Zero-Dimensional Ideals
    • Lee, D., Hong, S. (eds.) ICISC 2009. Springer, Heidelberg
    • Mohamed, M., Cabarcas, D., Ding, J., Buchmann, J., Bulygin, S.: MXL3: An Efficient Algorithm for Computing Gröbner Bases of Zero-Dimensional Ideals. In: Lee, D., Hong, S. (eds.) ICISC 2009. LNCS, vol. 5984, pp. 87-100. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.5984 , pp. 87-100
    • Mohamed, M.1    Cabarcas, D.2    Ding, J.3    Buchmann, J.4    Bulygin, S.5
  • 16
    • 85033537496 scopus 로고
    • Public quadratic polynomial-tuples for efficient signatureverification and message-encryption
    • Günther, C.G. (ed.) EUROCRYPT 1988. Springer, Heidelberg
    • Matsumoto, T., Imai, H.: Public quadratic polynomial-tuples for efficient signatureverification and message-encryption. In: Günther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 419-453. Springer, Heidelberg (1988)
    • (1988) LNCS , vol.330 , pp. 419-453
    • Matsumoto, T.1    Imai, H.2
  • 18
    • 84957640013 scopus 로고
    • Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt '88
    • Coppersmith, D. (ed.) CRYPTO 1995. Springer, Heidelberg
    • Patarin, J.: Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt '88. In: Coppersmith, D. (ed.) CRYPTO 1995. LNCS, vol. 963, pp. 248-261. Springer, Heidelberg (1995)
    • (1995) LNCS , vol.963 , pp. 248-261
    • Patarin, J.1
  • 19
    • 0032628303 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • Shor, P.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Rev. 41(2), 303-332 (1999)
    • (1999) SIAM Rev. , vol.41 , Issue.2 , pp. 303-332
    • Shor, P.1
  • 21
    • 33646770907 scopus 로고    scopus 로고
    • Theoretical Analysis of XL over Small Fields
    • Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. Springer, Heidelberg
    • Yang, B.-Y., Chen, J.-M.: Theoretical Analysis of XL over Small Fields. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, vol. 3108, pp. 277-288. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.3108 , pp. 277-288
    • Yang, B.-Y.1    Chen, J.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.