메뉴 건너뛰기




Volumn 49, Issue 1-3, 2008, Pages 47-60

On solving sparse algebraic equations over finite fields

Author keywords

Constraint satisfaction problem; Gluing; Random allocations; Sparse algebraic equations over finite fields

Indexed keywords

CRYPTOGRAPHY;

EID: 51349154683     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-008-9182-x     Document Type: Article
Times cited : (17)

References (14)
  • 1
    • 51349149403 scopus 로고    scopus 로고
    • Complexity of Gröbner basis computation for semiregular overdetermined sequences over F2 with solutions in F2
    • Bardet M., Faugére J.-C., Salvy B.: Complexity of Gröbner basis computation for semiregular overdetermined sequences over F2 with solutions in F2. Research report RR-5049, INRIA (2003).
    • (2003) Research Report RR-5049, INRIA
    • Bardet, M.1    Faugére, J.-C.2    Salvy, B.3
  • 2
    • 51349091806 scopus 로고    scopus 로고
    • Evaluation of the successive search for unknowns
    • (in Russian) Fizmatlit.
    • Balakin G.V., Bachurin S.A.: Evaluation of the successive search for unknowns, (in Russian), Trudy po diskretnoj matematike, vol. 6, pp. 7-13. Fizmatlit (2002).
    • (2002) Trudy Po Diskretnoj Matematike , vol.6 , pp. 7-13
    • Balakin, G.V.1    Bachurin, S.A.2
  • 3
    • 77649327985 scopus 로고    scopus 로고
    • Efficient algorithms for solving overdefined systems of multivariate polynomial equations
    • Springer-Verlag.
    • Courtois N., Klimov A., Patarin J., Shamir A.: Efficient algorithms for solving overdefined systems of multivariate polynomial equations. In: Eurocrypt 2000, LNCS 1807, pp. 392-407. Springer-Verlag (2000).
    • (2000) Eurocrypt 2000, LNCS , vol.1807 , pp. 392-407
    • Courtois, N.1    Klimov, A.2    Patarin, J.3    Shamir, A.4
  • 4
    • 51349158659 scopus 로고
    • Discrete limit distributions in the problem of shots with arbitrary probabilities of occupancy of boxes
    • Chistyakov V.P. (1967). Discrete limit distributions in the problem of shots with arbitrary probabilities of occupancy of boxes. Matem. Zametki 1: 9-16
    • (1967) Matem. Zametki , vol.1 , pp. 9-16
    • Chistyakov, V.P.1
  • 5
    • 0036045901 scopus 로고    scopus 로고
    • A new efficient algorithm for computing Gröbner bases without reduction to zero (F5)
    • ACM Press.
    • Faugére J.-C.: A new efficient algorithm for computing Gröbner bases without reduction to zero (F5). In: Proc. ISSAC 2002, pp. 75-83. ACM Press (2002).
    • (2002) Proc. ISSAC , vol.2002 , pp. 75-83
    • Faugére, J.-C.1
  • 6
    • 33750239478 scopus 로고    scopus 로고
    • Worst-case upper bounds for kSAT
    • Iwama K. (2004). Worst-case upper bounds for kSAT. Bull. EATCS 82: 61-71
    • (2004) Bull. EATCS , vol.82 , pp. 61-71
    • Iwama, K.1
  • 7
    • 51349107274 scopus 로고
    • The rate of convergence to limit distributions in the classical problem of shots
    • Kolchin V. (1966). The rate of convergence to limit distributions in the classical problem of shots. Teoriya veroyatn. i yeye primenen. 11: 144-156
    • (1966) Teoriya Veroyatn. i Yeye Primenen. , vol.11 , pp. 144-156
    • Kolchin, V.1
  • 13
    • 33646811417 scopus 로고    scopus 로고
    • On asymptotic security estimates in XL and Gröbner bases-related algebraic cryptanalysis
    • Springer-Verlag.
    • Yang B.-Y., Chen J.-M., Courtois N.: On asymptotic security estimates in XL and Gröbner bases-related algebraic cryptanalysis. In: ICICS 2004, LNCS 3269, pp. 401-413. Springer-Verlag (2004).
    • (2004) ICICS 2004, LNCS , vol.3269 , pp. 401-413
    • Yang, B.-Y.1    Chen, J.-M.2    Courtois, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.