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Volumn 3108, Issue , 2004, Pages 277-288

Theoretical analysis of XL over small fields

Author keywords

Algebraic attack; Finite field; Multivariate glyptography; System of quadratic equations; XL

Indexed keywords

ALGEBRA; SECURITY OF DATA;

EID: 33646770907     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-27800-9_24     Document Type: Article
Times cited : (43)

References (23)
  • 2
    • 84968505384 scopus 로고
    • Triangular Factorizations and Inversion by Fast Matrix Multiplication
    • J. R. Bunch and J. E. Hopcroft, Triangular Factorizations and Inversion by Fast Matrix Multiplication, Math. Computations, 24 (1974), pp. 231-236.
    • (1974) Math. Computations , vol.24 , pp. 231-236
    • Bunch, J.R.1    Hopcroft, J.E.2
  • 3
    • 24944516448 scopus 로고    scopus 로고
    • preprint, stated to be superseded by a yet unpublished version
    • D. Bernstein, Matrix Inversion Made Difficult, preprint, stated to be superseded by a yet unpublished version, available at http : //cr. yp. to.
    • Matrix Inversion Made Difficult
    • Bernstein, D.1
  • 4
    • 84937560136 scopus 로고    scopus 로고
    • The Security of Hidden Field Equations (HFE)
    • CT-RSA 2001
    • N. Courtois, The Security of Hidden Field Equations (HFE), CT-RSA 2001, LNCS v. 2020, pp. 266-281.
    • LNCS , vol.2020 , pp. 266-281
    • Courtois, N.1
  • 5
    • 35248828626 scopus 로고    scopus 로고
    • Higher-Order Correlation Attacks, XLAlgorithm and Cryptanalysis of Toyocrypt
    • ICISC '02
    • N. Courtois, Higher-Order Correlation Attacks, XLAlgorithm and Cryptanalysis of Toyocrypt, ICISC '02, LNCS v. 2587, pp. 182-199.
    • LNCS , vol.2587 , pp. 182-199
    • Courtois, N.1
  • 6
    • 35248849880 scopus 로고    scopus 로고
    • Fast Algebraic Attacks on Stream Ciphers with Linear Feedback
    • CRYPTO'03
    • N. Courtois, Fast Algebraic Attacks on Stream Ciphers with Linear Feedback, CRYPTO'03, LNCS v. 2729, pp. 176-194.
    • LNCS , vol.2729 , pp. 176-194
    • Courtois, N.1
  • 7
    • 35048866377 scopus 로고    scopus 로고
    • v2
    • proc. PKC 2004
    • v2, proc. PKC 2004, LNCS v. 2947, pp. 201-217.
    • LNCS , vol.2947 , pp. 201-217
    • Courtois, N.1
  • 8
    • 77649327985 scopus 로고    scopus 로고
    • Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations
    • EUROCRYPT
    • N. Courtois, A. Klimov, J. Patarin, and A. Shamir, Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations, EUROCRYPT 2000, LNCS V. 1807, pp. 392-407.
    • (2000) LNCS , vol.1807 , pp. 392-407
    • Courtois, N.1    Klimov, A.2    Patarin, J.3    Shamir, A.4
  • 9
    • 84958765510 scopus 로고    scopus 로고
    • Cryptanalysis of Block Ciphers with Overdefined Systems of Equations
    • ASIACRYPT 2002
    • N. Courtois and J. Pieprzyk, Cryptanalysis of Block Ciphers with Overdefined Systems of Equations, ASIACRYPT 2002, LNCS v. 2501, pp. 267-287.
    • LNCS , vol.2501 , pp. 267-287
    • Courtois, N.1    Pieprzyk, J.2
  • 10
    • 35248834096 scopus 로고    scopus 로고
    • About the XL Algorithm over Gf(2)
    • CT-RSA 2003
    • N. Courtois and J. Patarin, About the XL Algorithm over Gf(2), CT-RSA 2003, LNCS v. 2612, pp. 141-157.
    • LNCS , vol.2612 , pp. 141-157
    • Courtois, N.1    Patarin, J.2
  • 12
    • 0036045901 scopus 로고    scopus 로고
    • A New Efficient Algorithm for Computing Gröbner Bases without Reduction to Zero (F5)
    • ACM Press
    • J.-C. Faugère, A New Efficient Algorithm for Computing Gröbner Bases without Reduction to Zero (F5), Proceedings of ISSAC 2002, pp. 75-83, ACM Press 2002.
    • (2002) Proceedings of ISSAC 2002 , pp. 75-83
    • Faugère, J.-C.1
  • 13
    • 35248840150 scopus 로고    scopus 로고
    • Algebraic Cryptanalysis of Hidden Field Equations (HFE) Cryptosystems Using Gröbner Bases
    • CRYPTO 2003
    • J.-C. Faugère and A. Joux, Algebraic Cryptanalysis of Hidden Field Equations (HFE) Cryptosystems Using Gröbner Bases, CRYPTO 2003, LNCS v. 2729, pp. 44-60.
    • LNCS , vol.2729 , pp. 44-60
    • Faugère, J.-C.1    Joux, A.2
  • 15
    • 84957060922 scopus 로고    scopus 로고
    • Cryptanalysis of the HFE Public Key Cryptosystem by Relinearization
    • CRYPTO'99
    • A. Kipnis and A. Shamir, Cryptanalysis of the HFE Public Key Cryptosystem by Relinearization, CRYPTO'99, LNCS V. 1666, pp. 19-30.
    • LNCS , vol.1666 , pp. 19-30
    • Kipnis, A.1    Shamir, A.2
  • 17
    • 84937413721 scopus 로고    scopus 로고
    • Essential Algebraic Structures Within the AES
    • CRYPTO 2002
    • S. Murphy and M. Robshaw, Essential Algebraic Structures Within the AES, CRYPTO 2002, LNCS v. 2442, pp. 1-16.
    • LNCS , vol.2442 , pp. 1-16
    • Murphy, S.1    Robshaw, M.2
  • 18
    • 84947932132 scopus 로고    scopus 로고
    • Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): Two New Families of Asymmetric Algorithms
    • EUROCRYPT'96
    • J. Patarin, Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): Two New Families of Asymmetric Algorithms, EUROCRYPT'96, LNCS v. 1070, pp. 33-48.
    • LNCS , vol.1070 , pp. 33-48
    • Patarin, J.1
  • 20
    • 0003652674 scopus 로고    scopus 로고
    • Both published by Cambridge University Press, Cambridge
    • R. Stanley, Enumerative Combinatorics, vol. 2 in 1999. Both published by Cambridge University Press, Cambridge.
    • (1999) Enumerative Combinatorics , vol.2
    • Stanley, R.1
  • 21
    • 34250487811 scopus 로고
    • Gaussian Elimination is not Optimal
    • V. Strassen, Gaussian Elimination is not Optimal, Numer. Math. 13 (1969) pp. 354-356.
    • (1969) Numer. Math. , vol.13 , pp. 354-356
    • Strassen, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.