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Volumn 4450 LNCS, Issue , 2007, Pages 233-248

High Order Linearization Equation (HOLE) attack on multivariate public key cryptosystems

Author keywords

Algebraic cryptanalysis; High order linearization equation; Multivariate public key cryptosystem; Quadratic polynomial

Indexed keywords

ALGEBRA; COMPUTATIONAL COMPLEXITY; LINEARIZATION; MATHEMATICAL OPERATORS;

EID: 38049027287     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-71677-8_16     Document Type: Conference Paper
Times cited : (44)

References (33)
  • 1
    • 3042547883 scopus 로고    scopus 로고
    • A fast and secure implementation of Sflash
    • Springer
    • Mehdi-Laurent Akkar, Nicolas T. Courtois, Romain Duteuil, and Louis Goubin. A fast and secure implementation of Sflash. In PKC-2003, LNCS, volume 2567, pages 267-278. Springer, 2003.
    • (2003) PKC-2003, LNCS , vol.2567 , pp. 267-278
    • Akkar, M.1    Courtois, N.T.2    Duteuil, R.3    Goubin, L.4
  • 2
    • 35048863447 scopus 로고    scopus 로고
    • Gwénolé Ars and Jean-Charles Faugère and Hideki Imai and Mitsuru Kawazoe and Makoto Sugita Comparison between XL and Gröbner Basis Algorithms, Asiacrypt 2004, LNCS, V. 3329
    • Gwénolé Ars and Jean-Charles Faugère and Hideki Imai and Mitsuru Kawazoe and Makoto Sugita Comparison between XL and Gröbner Basis Algorithms, Asiacrypt 2004, LNCS, V. 3329.
  • 4
    • 84937560136 scopus 로고    scopus 로고
    • Nicolas T. Courtois The security of hidden field equations (HFE) In C. Naccache, editor, Progress in cryptology, CT-RSA, LNCS, 2020, pages 266-281. Springer, 2001
    • Nicolas T. Courtois The security of hidden field equations (HFE) In C. Naccache, editor, Progress in cryptology, CT-RSA, LNCS, volume 2020, pages 266-281. Springer, 2001
  • 5
    • 77649327985 scopus 로고    scopus 로고
    • Efficient algorithms for solving overdefined systems of multivariate polynomial equations
    • B. Preenel, editor, Advances in cryptology, Eurocrypt 2000, Springer
    • Nicolas Courtois, Alexander Klimov, Jacques Patarin, and Adi Shamir. Efficient algorithms for solving overdefined systems of multivariate polynomial equations. In B. Preenel, editor, Advances in cryptology, Eurocrypt 2000, LNCS, volume 1807, pages 392-407. Springer, 2000.
    • (2000) LNCS , vol.1807 , pp. 392-407
    • Courtois, N.1    Klimov, A.2    Patarin, J.3    Shamir, A.4
  • 6
    • 84958765510 scopus 로고    scopus 로고
    • Cryptanalysis of Block Ciphers with Overdefined Systems of Equations
    • Springer
    • Nicolas Courtois, Josef Pieprzyk: Cryptanalysis of Block Ciphers with Overdefined Systems of Equations. ASIACRYPT 2002, LNCS 2501, 267-287, Springer 2002.
    • (2002) LNCS. ASIACRYPT 2002 , vol.2501 , pp. 267-287
    • Nicolas Courtois, J.P.1
  • 7
    • 33746656845 scopus 로고    scopus 로고
    • On the Goubin-Courtois attack on TTM
    • J. Chen and T. Moh. On the Goubin-Courtois attack on TTM. Cryptology ePrint Archive, 72, 2001. http://eprint.iacr.org/2001/072.
    • (2001) Cryptology ePrint Archive , vol.72
    • Chen, J.1    Moh, T.2
  • 9
    • 35048862324 scopus 로고    scopus 로고
    • A new variant of the Matsumoto-Imai cryptosystem through perturbation
    • F. Bao, R. Deng, and J. Zhou, editors, the 7th International Workshop on Practice and Theory in Public key Cryptography, Singapore, PKC'04, Springer
    • Jintai Ding. A new variant of the Matsumoto-Imai cryptosystem through perturbation. In F. Bao, R. Deng, and J. Zhou, editors, the 7th International Workshop on Practice and Theory in Public key Cryptography, Singapore, (PKC'04), LNCS, volume 2947, pages 305-318. Springer, 2004.
    • (2004) LNCS , vol.2947 , pp. 305-318
    • Ding, J.1
  • 10
    • 38049015177 scopus 로고    scopus 로고
    • Jintai Ding and Jason Gower Inoculating Multivariate Schemes Against Differential Attacks. Accepted for PKC-2006, IACR eprint 2005/255.
    • Jintai Ding and Jason Gower Inoculating Multivariate Schemes Against Differential Attacks. Accepted for PKC-2006, IACR eprint 2005/255.
  • 13
    • 24144432125 scopus 로고    scopus 로고
    • Jintai Ding, and D. S. Schmidt Cryptanalysis of HFEV and the internal perturbation of HFE. The 8th International Workshop on Practice and Theory in Public key Cryptography, Jan. 2005, Switzerland (PKC'05), Lecture Notes in Computer Sciences, 3386, pages 288301 Springer, 2005.
    • Jintai Ding, and D. S. Schmidt Cryptanalysis of HFEV and the internal perturbation of HFE. The 8th International Workshop on Practice and Theory in Public key Cryptography, Jan. 2005, Switzerland (PKC'05), Lecture Notes in Computer Sciences, volume 3386, pages 288301 Springer, 2005.
  • 14
    • 26444529947 scopus 로고    scopus 로고
    • a new multivariate public key signature scheme. The Third International Conference of Applied Cryptography and Network Security (ACNS
    • New York, June 7-10, Springer, 2005
    • Jintai Ding, and D. S. Schmidt Rainbow, a new multivariate public key signature scheme. The Third International Conference of Applied Cryptography and Network Security (ACNS 2005), New York, June 7-10, 2005, Lecture Notes in Computer Science 3531, Page 164-175, Springer, 2005.
    • (2005) Lecture Notes in Computer Science , vol.3531 , pp. 164-175
    • Ding, J.1    Schmidt Rainbow, D.S.2
  • 15
    • 0033143274 scopus 로고    scopus 로고
    • 4), Journal of Pure and Applied Algebra, V. 139, P. 61-88, June 199.
    • 4), Journal of Pure and Applied Algebra, V. 139, P. 61-88, June 199.
  • 16
    • 24944454273 scopus 로고    scopus 로고
    • Differential Cryptanalysis for Multivariate Schemes Advances in Cryptology - EUROCRYPT 2005
    • Springer
    • P.-A. Fouque, L. Granboulan, and J. Stern. Differential Cryptanalysis for Multivariate Schemes Advances in Cryptology - EUROCRYPT 2005, Lecture Notes in Computer Science 3494 Springer 2005, Page 341-353.
    • (2005) Lecture Notes in Computer Science , vol.3494 , pp. 341-353
    • Fouque, P.-A.1    Granboulan, L.2    Stern, J.3
  • 17
    • 84937500998 scopus 로고    scopus 로고
    • Cryptanalysis of the TTM cryptosystem
    • L. Goubin and N. Courtois. Cryptanalysis of the TTM cryptosystem. LNCS, Springer Verlag, 1976:44-57, 2000.
    • (2000) LNCS, Springer Verlag , vol.1976 , pp. 44-57
    • Goubin, L.1    Courtois, N.2
  • 18
    • 84957060922 scopus 로고    scopus 로고
    • Cryptanalysis of the HFE public key cryptosystem by relinearization
    • M. Wiener, editor, Advances in crytology, Crypto '99, Springer
    • Aviad Kipnis and Adi Shamir. Cryptanalysis of the HFE public key cryptosystem by relinearization. In M. Wiener, editor, Advances in crytology - Crypto '99, LNCS, volume 1666, pages 19-30. Springer, 1999.
    • (1999) LNCS , vol.1666 , pp. 19-30
    • Kipnis, A.1    Shamir, A.2
  • 19
    • 85033537496 scopus 로고
    • Public quadratic polynomial-tuples for efficient signature verification and message encryption
    • C. G. Guenther, editor, Advances in cryptology, EUROCRYPT'88, Springer
    • T. Matsumoto and H. Imai. Public quadratic polynomial-tuples for efficient signature verification and message encryption. In C. G. Guenther, editor, Advances in cryptology - EUROCRYPT'88, LNCS, volume 330, pages 419-453. Springer, 1988.
    • (1988) LNCS , vol.330 , pp. 419-453
    • Matsumoto, T.1    Imai, H.2
  • 20
    • 33746655540 scopus 로고    scopus 로고
    • A fast public key system with signature and master key functions
    • May
    • T. T. Moh. A fast public key system with signature and master key functions. Lecture Notes at EE department of Stanford University., May 1999. http://www.usdsi.com/ttm.html.
    • (1999) Lecture Notes at EE department of Stanford University
    • Moh, T.T.1
  • 21
    • 38049081903 scopus 로고    scopus 로고
    • T.Moh and J.M.Chen and Boyin Yang Building Instances of TTM Immune to the Goubin-Courtois Attack and the Ding-Schmidt Attack. IACR eprint 2004/168, http://eprint.iacr.org.
    • T.Moh and J.M.Chen and Boyin Yang Building Instances of TTM Immune to the Goubin-Courtois Attack and the Ding-Schmidt Attack. IACR eprint 2004/168, http://eprint.iacr.org.
  • 22
    • 38049078459 scopus 로고    scopus 로고
    • NESSIE. European project IST-1999-12324 on New European Schemes for Signature, Integrity and Encryption, http://www.cryptonessie.org.
    • NESSIE. European project IST-1999-12324 on New European Schemes for Signature, Integrity and Encryption, http://www.cryptonessie.org.
  • 23
    • 84957640013 scopus 로고
    • Cryptanalysis of the Matsumoto and Imai public key scheme of Eurocrypt'88
    • D. Coppersmith, editor, Advances in Cryptology -Crypto '95
    • J. Patarin. Cryptanalysis of the Matsumoto and Imai public key scheme of Eurocrypt'88. In D. Coppersmith, editor, Advances in Cryptology -Crypto '95, LNCS, volume 963, pages 248-261, 1995.
    • (1995) LNCS , vol.963 , pp. 248-261
    • Patarin, J.1
  • 24
    • 84947932132 scopus 로고    scopus 로고
    • Hidden field equations (HFE) and isomorphism of polynomials (IP): Two new families of asymmetric algorithms
    • U. Maurer, editor, Eurocrypt'96, Springer
    • J. Patarin. Hidden field equations (HFE) and isomorphism of polynomials (IP): Two new families of asymmetric algorithms. In U. Maurer, editor, Eurocrypt'96, LNCS, volume 1070, pages 33-48. Springer, 1996.
    • (1996) LNCS , vol.1070 , pp. 33-48
    • Patarin, J.1
  • 26
    • 84937571034 scopus 로고    scopus 로고
    • Flash, a fast multivariate signature algorithm
    • Springer
    • Jacques Patarin, Nicolas Courtois, and Louis Goubin. Flash, a fast multivariate signature algorithm. In LNCS, volume 2020, pages 298-307. Springer, 2001.
    • (2001) LNCS , vol.2020 , pp. 298-307
    • Patarin, J.1    Courtois, N.2    Goubin, L.3
  • 27
    • 84947768941 scopus 로고    scopus 로고
    • -+ and HM: variations around two schemes of T. Matsumoto and H. Imai. In K. Ohta and D. Pei, editors, ASIA CRYPT'98, LNCS, 1514, pages 35-50. Springer, 1998.
    • -+ and HM: variations around two schemes of T. Matsumoto and H. Imai. In K. Ohta and D. Pei, editors, ASIA CRYPT'98, LNCS, volume 1514, pages 35-50. Springer, 1998.
  • 30
    • 0032628303 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • Peter Shor. 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
  • 31
    • 24144455333 scopus 로고    scopus 로고
    • Tractable Rational Map Signature, Public Key Cryptosystems
    • Springer, P
    • Lih-Chung Wang and Yuh-Hua Hu and Feipei Lai and Chun-Yen Chou and Bo-Yin Yang, Tractable Rational Map Signature, Public Key Cryptosystems 2005, LNCS 3386, Springer, P. 244-257.
    • (2005) LNCS , vol.3386 , pp. 244-257
    • Wang, L.1    Hu, Y.2    Lai, F.3    Chou, C.4    Yang, B.5
  • 32
    • 33745640504 scopus 로고    scopus 로고
    • A MediumField Multivariate Public key Encryption Scheme
    • CT-RSA 2006: The Cryptographers' Track at the RSA Conference, Springer
    • Lih-Chung Wang, Bo-yin Yang, Yuh-Hua Hu and Feipei Lai, A MediumField Multivariate Public key Encryption Scheme, CT-RSA 2006: The Cryptographers' Track at the RSA Conference 2006, LNCS 3860, 132-149, Springer, 2006.
    • (2006) LNCS , vol.3860 , pp. 132-149
    • Wang, L.1    Yang, B.2    Hu, Y.3    Lai, F.4


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