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Volumn 2020, Issue , 2001, Pages 266-281

The security of hidden field equations (HFE)

Author keywords

Asymmetric cryptography; Basic HFE; Finite fields; HFE problem; Hidden field equation; MinRank problem; One way functions; Short signature

Indexed keywords

POLYNOMIAL APPROXIMATION;

EID: 84937560136     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45353-9_20     Document Type: Conference Paper
Times cited : (103)

References (24)
  • 1
    • 84937608407 scopus 로고    scopus 로고
    • Don Coppersmith, Jacques Stern, Serge Vaudenay: Attacks on the birational permutation signature schemes; CRYPTO 93, Springer-Verlag
    • Don Coppersmith, Jacques Stern, Serge Vaudenay: Attacks on the birational permutation signature schemes; CRYPTO 93, Springer-Verlag, pp. 435-443.
  • 2
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progressions
    • Don Coppersmith, Samuel Winograd: "Matrix multiplication via arithmetic progressions"; J. Symbolic Computation (1990), 9, pp. 251-280.
    • (1990) J. Symbolic Computation , vol.9 , pp. 251-280
    • Coppersmith, D.1    Winograd, S.2
  • 8
    • 35248825762 scopus 로고    scopus 로고
    • Springer-Verlag, ACM3, 1998, Chapter 4: "Hidden Monomial Cryptosystems
    • Neal Koblitz: "Algebraic aspects of cryptography"; Springer-Verlag, ACM3, 1998, Chapter 4: "Hidden Monomial Cryptosystems", pp. 80-102
    • Algebraic Aspects of Cryptography , pp. 80-102
    • Koblitz, N.1
  • 9
    • 85033537496 scopus 로고    scopus 로고
    • Public Quadratic Polynomial-tuples for effficient signature-verification and message-encryption
    • Tsutomu Matsumoto, Hideki Imai: "Public Quadratic Polynomial-tuples for effficient signature-verification and message-encryption", Eurocrypt'88, Springer-Verlag 1998, pp. 419-453.
    • (1998) Eurocrypt'88, Springer-Verlag , pp. 419-453
    • Matsumoto, T.1    Imai, H.2
  • 10
    • 0348021825 scopus 로고
    • A class of asymmetric cryptosystems based on polynomials over finite rings
    • Abstract of Papers
    • Tsutomu Matsumoto, Hideki Imai:"A class of asymmetric cryptosystems based on polynomials over finite rings"; 1983 IEEE International Symposium on Information Theory, Abstract of Papers, pp. 131-132, September 1983.
    • (1983) 1983IEEE International Symposium on Information Theory , pp. 131-132
    • Matsumoto, T.1    Imai, H.2
  • 11
    • 84937608411 scopus 로고    scopus 로고
    • a non-profit web site dedicated to MinRank and Multivariate Cryptography in general
    • http://www. minrank. org, a non-profit web site dedicated to MinRank and Multivariate Cryptography in general.
  • 12
    • 84937608412 scopus 로고    scopus 로고
    • Montgomery: A Block Lanczos Algorithm for Finding Dependencies over GF(2); Eurocrypt'95, LNCS, Springer-Verlag
    • Peter L. Montgomery: A Block Lanczos Algorithm for Finding Dependencies over GF(2); Eurocrypt'95, LNCS, Springer-Verlag.
    • Peter, L.1
  • 13
    • 84957640013 scopus 로고    scopus 로고
    • "Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt'88"; Crypto'95, Springer-Verlag
    • Jacques Patarin: "Cryptanalysis of the Matsumoto and Imai Public Key Scheme of Eurocrypt'88"; Crypto'95, Springer-Verlag, pp. 248-261.
    • Patarin, J.1
  • 21
    • 77649327985 scopus 로고    scopus 로고
    • Efficient Algorithms for solving Overdefined Systems of Multivariate Polynomial Equations, in Advances in Cryptology
    • Springer
    • Adi Shamir, Nicolas Courtois, Jacques Patarin, Alexander Klimov, Efficient Algorithms for solving Overdefined Systems of Multivariate Polynomial Equations, in Advances in Cryptology, Proceedings of EUROCRYPT'2000, LNCS n° 1807, Springer, 2000, pp. 392-407.
    • (2000) Proceedings of EUROCRYPT'2000, LNCS , Issue.1807 , pp. 392-407
    • Shamir, A.1    Courtois, N.2    Patarin, J.3    Klimov, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.