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Volumn 6212 LNCS, Issue , 2010, Pages 241-254

Cryptanalysis of the hidden matrix cryptosystem

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC SYSTEM; CRYPTOSYSTEMS; DISTINGUISHERS; HIDDEN MATRIX; MAXIMUM DEGREE; POLYNOMIAL-TIME; PUBLIC KEYS; QUADRATIC EQUATIONS; RANDOM SYSTEMS; RECOVERY ATTACKS; UPPER BOUND;

EID: 77955855625     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-14712-8_15     Document Type: Conference Paper
Times cited : (7)

References (25)
  • 4
    • 84860002294 scopus 로고    scopus 로고
    • Asymptotic behaviour of the degree of regularity of semi-regular polynomial systems
    • Eighth International Symposium on Effective Methods in Algebraic Geometry (2005)
    • Bardet, M., Faug̀ere, J.-C., Salvy, B., Yang, B.-Y.: Asymptotic behaviour of the degree of regularity of semi-regular polynomial systems. In: Proc. of MEGA 2005, Eighth International Symposium on Effective Methods in Algebraic Geometry (2005)
    • (2005) Proc. of MEGA
    • Bardet, M.1    Faug̀ere, J.-C.2    Salvy, B.3    Yang, B.-Y.4
  • 5
    • 51049092298 scopus 로고    scopus 로고
    • Time-area optimized publickey engines: MQ-cryptosystems as replacement for elliptic curves?
    • Oswald, E., Rohatgi, P. (eds.) CHES 2008., Springer, Heidelberg
    • Bogdanov, A., Eisenbarth, T., Rupp, A., Wolf, C.: Time-area optimized publickey engines: MQ-cryptosystems as replacement for elliptic curves? In: Oswald, E., Rohatgi, P. (eds.) CHES 2008. LNCS, vol.5154, pp. 45-61. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5154 , pp. 45-61
    • Bogdanov, A.1    Eisenbarth, T.2    Rupp, A.3    Wolf, C.4
  • 6
    • 35048862324 scopus 로고    scopus 로고
    • A new variant of the matsumoto-imai cryptosystem through perturbation
    • Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004., Springer, Heidelberg
    • Ding, J.: A new variant of the matsumoto-imai cryptosystem through perturbation. In: Bao, F., Deng, R., Zhou, J. (eds.) PKC 2004. LNCS, vol.2947, pp. 305-318. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.2947 , pp. 305-318
    • Ding, J.1
  • 7
    • 38049140588 scopus 로고    scopus 로고
    • Practical cryptanalysis of sflash
    • Menezes,A. (ed.) CRYPTO 2007., Springer, Heidelberg
    • Dubois, V., Fouque, P.-A., Shamir, A., Stern, J.: Practical cryptanalysis of sflash. In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol.4622, pp. 1-12. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4622 , pp. 1-12
    • Dubois, V.1    Fouque, P.-A.2    Shamir, A.3    Stern, J.4
  • 8
    • 0036045901 scopus 로고    scopus 로고
    • A new efficient algorithm for computing Gröbner bases without reduction to zero (F5)
    • Mora, T. (ed.), July, ACM Press, New York, (2002) ISBN: 1-58113-484-3
    • Faug̀ere, J.-C.: A new efficient algorithm for computing Gröbner bases without reduction to zero (F5). In: Mora, T. (ed.) Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation ISSAC, July 2002, pp. 75-83. ACM Press, New York (2002) ISBN: 1-58113-484-3
    • (2002) Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation ISSAC , pp. 75-83
    • Faug̀ere, J.-C.1
  • 9
    • 35248840150 scopus 로고    scopus 로고
    • Algebraic cryptanalysis of hidden field equation (hfe) cryptosystems using gröbner bases
    • Boneh, D. (ed.) CRYPTO 2003., Springer, Heidelberg
    • Faug̀ere, 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
    • Faug̀ere, J.-C.1    Joux, A.2
  • 10
    • 24944454273 scopus 로고    scopus 로고
    • Differential cryptanalysis for multivariate schemes
    • Cramer, R. (ed.) EUROCRYPT 2005., Springer, Heidelberg
    • Fouque, P.-A., Granboulan, L., Stern, J.: Differential cryptanalysis for multivariate schemes. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol.3494, pp. 341-353. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3494 , pp. 341-353
    • Fouque, P.-A.1    Granboulan, L.2    Stern, J.3
  • 11
    • 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
  • 12
    • 85022127411 scopus 로고
    • Algebraic methods for constructing asymmetric cryptosystems
    • Calmet, J. (ed.) AAECC 1985., Springer, Heidelberg
    • Imai, H., Matsumoto, T.: Algebraic Methods for Constructing Asymmetric Cryptosystems. In: Calmet, J. (ed.) AAECC 1985. LNCS, vol.229, pp. 108-119. Springer, Heidelberg (1986)
    • (1986) LNCS , vol.229 , pp. 108-119
    • Imai, H.1    Matsumoto, T.2
  • 13
    • 84957613067 scopus 로고    scopus 로고
    • Cryptanalysis of the oil and vinegar signature scheme
    • Krawczyk, H. (ed.) CRYPTO 1998., Springer, Heidelberg
    • Kipnis, A., Shamir, A.: Cryptanalysis of the oil and vinegar signature scheme. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol.1462, pp. 257-266. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1462 , pp. 257-266
    • Kipnis, A.1    Shamir, A.2
  • 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
  • 17
    • 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
  • 18
    • 84947932132 scopus 로고    scopus 로고
    • Hidden fields equations (hfe) and isomorphisms of polynomials (ip): Two new families of asymmetric algorithms
    • Maurer, U.M. (ed.) EUROCRYPT 1996., Springer, Heidelberg
    • Patarin, J.: Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): two new families of asymmetric algorithms. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol.1070, pp. 33-48. Springer, Heidelberg (1996)
    • (1996) LNCS , vol.1070 , pp. 33-48
    • Patarin, J.1
  • 19
    • 33645599274 scopus 로고    scopus 로고
    • The oil and vinegar signature scheme
    • Presented at the
    • Patarin, J.: The Oil and Vinegar signature scheme. Presented at the Dagstuhl Workshop on Cryptography (1997)
    • (1997) Dagstuhl Workshop on Cryptography
    • Patarin, J.1
  • 20
    • 84947768941 scopus 로고    scopus 로고
    • C + and HM: Variations on Two Schemes of T.Matsumoto and H.Imai
    • Ohta, K., Pei, D. (eds.) ASIACRYPT 1998., Springer, Heidelberg
    • Patarin, J., Courtois, N., Goubin, L.: C+ and HM: Variations on Two Schemes of T.Matsumoto and H.Imai. In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol.1514, pp. 35-50. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1514 , pp. 35-50
    • Patarin, J.1    Courtois, N.2    Goubin, L.3
  • 22
    • 84937576636 scopus 로고    scopus 로고
    • Quartz, 128-bit long digital signatures
    • Naccache, D. (ed.) CT-RSA 2001, Springer, Heidelberg
    • Patarin, J., Courtois, N., Goubin, L.: Quartz, 128-bit long digital signatures. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, vol.2020, pp. 282-297. Springer, Heidelberg (2001)
    • (2001) LNCS , vol.2020 , pp. 282-297
    • Patarin, J.1    Courtois, N.2    Goubin, L.3
  • 23
    • 84947768941 scopus 로고    scopus 로고
    • C+ and hm: Variations around two schemes of t.matsumoto and h.imai
    • Ohta, K., Pei, D. (eds.) ASIACRYPT 1998, Springer, Heidelberg
    • Patarin, J., Goubin, L., Courtois, N.: C+ and hm: Variations around two schemes of t.matsumoto and h.imai. In: Ohta, K., Pei, D. (eds.) ASIACRYPT 1998. LNCS, vol.1514, pp. 35-49. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1514 , pp. 35-49
    • Patarin, J.1    Goubin, L.2    Courtois, N.3
  • 24
    • 40249092492 scopus 로고    scopus 로고
    • Taxonomy of Public Key Schemes based on the problem of Multivariate Quadratic equations
    • Report(2005) 077)
    • Wolf, C., Preneel, B.: Taxonomy of Public Key Schemes based on the problem of Multivariate Quadratic equations. Cryptology ePrint Archive, Report 2005/077 (2005), http://eprint.iacr.org/
    • (2005) Cryptology EPrint Archive
    • Wolf, C.1    Preneel, B.2
  • 25
    • 24944488104 scopus 로고    scopus 로고
    • Perturbed hidden matrix cryptosystems
    • Gervasi, O., Gavrilova, M.L., Kumar, V., Lagańa, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005., Springer, Heidelberg
    • Wu, Z., Ding, J., Gower, J.E., Ye, D.F.: Perturbed hidden matrix cryptosystems. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Lagańa, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol.3481, pp. 595-602. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3481 , pp. 595-602
    • Wu, Z.1    Ding, J.2    Gower, J.E.3    Ye, D.F.4


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