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Volumn 5443, Issue , 2009, Pages 1-14

Implicit factoring: On polynomial time factoring given only an implicit hint

Author keywords

Factoring with an oracle; Lattices

Indexed keywords

CHROMIUM COMPOUNDS; CRYSTAL LATTICES; POLYNOMIAL APPROXIMATION;

EID: 67049119182     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-00468-1_1     Document Type: Conference Paper
Times cited : (48)

References (22)
  • 1
    • 84974652955 scopus 로고    scopus 로고
    • Closest vectors, successive minima, and dual HKZ-bases of lattices
    • Welzl, E, Montanari, U, Rolim, J.D.P, eds, ICALP 2000, Springer, Heidelberg
    • Blomer, J.: Closest vectors, successive minima, and dual HKZ-bases of lattices. In: Welzl, E., Montanari, U., Rolim, J.D.P. (eds.) ICALP 2000. LNCS, vol. 1853, pp. 248-259. Springer, Heidelberg (2000)
    • (2000) LNCS , vol.1853 , pp. 248-259
    • Blomer, J.1
  • 2
    • 84947916423 scopus 로고    scopus 로고
    • Finding a small root of a bivariate integer equation, factoring with high bits known
    • Maurer, U.M, ed, EUROCRYPT 1996, Springer, Heidelberg
    • Coppersmith, D.: Finding a small root of a bivariate integer equation, factoring with high bits known. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 178-189. Springer, Heidelberg (1996)
    • (1996) LNCS , vol.1070 , pp. 178-189
    • Coppersmith, D.1
  • 3
    • 0001494997 scopus 로고    scopus 로고
    • Small solutions to polynomial equations and low exponent vulnerabilities
    • Coppersmith, D.: Small solutions to polynomial equations and low exponent vulnerabilities. Journal of Cryptology 10(4), 223-260 (1997)
    • (1997) Journal of Cryptology , vol.10 , Issue.4 , pp. 223-260
    • Coppersmith, D.1
  • 4
    • 84958958956 scopus 로고    scopus 로고
    • Coppersmith, D.: Finding small solutions to small degree polynomials. In: Silver-man, J.H. (ed.) CaLC 2001. LNCS, 2146, pp. 20-31. Springer, Heidelberg (2001)
    • Coppersmith, D.: Finding small solutions to small degree polynomials. In: Silver-man, J.H. (ed.) CaLC 2001. LNCS, vol. 2146, pp. 20-31. Springer, Heidelberg (2001)
  • 5
    • 35048854557 scopus 로고    scopus 로고
    • Crepeau, C., Slakmon, A.: Simple backdoors for RSA key generation. In: Joye, M. (ed.) CT-RSA 2003. LNCS, 2612, pp. 403-416. Springer, Heidelberg (2003)
    • Crepeau, C., Slakmon, A.: Simple backdoors for RSA key generation. In: Joye, M. (ed.) CT-RSA 2003. LNCS, vol. 2612, pp. 403-416. Springer, Heidelberg (2003)
  • 7
    • 0022285409 scopus 로고
    • Algorithms to Construct Minkowski Reduced and Hermite Reduced Lattice Basis
    • Helfrich, B.: Algorithms to Construct Minkowski Reduced and Hermite Reduced Lattice Basis. Theoretical Computer Science 41, 125-139 (1985)
    • (1985) Theoretical Computer Science , vol.41 , pp. 125-139
    • Helfrich, B.1
  • 8
    • 0000126406 scopus 로고
    • Minkowski's Convex Body Theorem and Integer Programming
    • Kannan, R.: Minkowski's Convex Body Theorem and Integer Programming. Mathematics of Operations Research 12(3), 415-440 (1987)
    • (1987) Mathematics of Operations Research , vol.12 , Issue.3 , pp. 415-440
    • Kannan, R.1
  • 9
    • 0001258323 scopus 로고
    • Factoring Integers with Elliptic Curves
    • Lenstra Jr., H.W.: Factoring Integers with Elliptic Curves. Ann. Math. 126, 649673 (1987)
    • (1987) Ann. Math , vol.126 , pp. 649673
    • Lenstra Jr., H.W.1
  • 12
    • 67049091670 scopus 로고
    • Factoring with an oracle
    • Rueppel, R.A, ed, EUROCRYPT 1992, Springer, Heidelberg
    • Maurer, U.M.: Factoring with an oracle. In: Rueppel, R.A. (ed.) EUROCRYPT 1992. LNCS, vol. 658, pp. 429-436. Springer, Heidelberg (1993)
    • (1993) LNCS , vol.658 , pp. 429-436
    • Maurer, U.M.1
  • 15
    • 24944584767 scopus 로고    scopus 로고
    • Floating-point LLL revisited
    • Cramer, R, ed, EU-ROCRYPT 2005, Springer, Heidelberg
    • Nguyen, P.Q., Stehle, D.: Floating-point LLL revisited. In: Cramer, R. (ed.) EU-ROCRYPT 2005. LNCS, vol. 3494, pp. 215-233. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3494 , pp. 215-233
    • Nguyen, P.Q.1    Stehle, D.2
  • 16
    • 85027100501 scopus 로고
    • The quadratic sieve factoring algorithm
    • Beth, T, Cot, N, Ingemarsson, I, eds, EUROCRYPT 1984, Springer, Heidelberg
    • Pomerance, C.: The quadratic sieve factoring algorithm. In: Beth, T., Cot, N., Ingemarsson, I. (eds.) EUROCRYPT 1984. LNCS, vol. 209, pp. 169-182. Springer, Heidelberg (1985)
    • (1985) LNCS , vol.209 , pp. 169-182
    • Pomerance, C.1
  • 17
    • 35248817671 scopus 로고
    • Efficient factoring based on partial information
    • Pich-ler, F, ed, EUROCRYPT 1985, Springer, Heidelberg
    • Rivest, R.L., Shamir, A.: Efficient factoring based on partial information. In: Pich-ler, F. (ed.) EUROCRYPT 1985. LNCS, vol. 219, pp. 31-34. Springer, Heidelberg (1986)
    • (1986) LNCS , vol.219 , pp. 31-34
    • Rivest, R.L.1    Shamir, A.2
  • 18
    • 0017930809 scopus 로고
    • A Method for Obtaining Digital Signatures and Public-Key Cryptosystems
    • Rivest, R.L., Shamir, A., Adleman, L.: A Method for Obtaining Digital Signatures and Public-Key Cryptosystems. Communications of the ACM 21(2), 120-126 (1978)
    • (1978) Communications of the ACM , vol.21 , Issue.2 , pp. 120-126
    • Rivest, R.L.1    Shamir, A.2    Adleman, L.3
  • 19
    • 85115374351 scopus 로고
    • Algorithms for Quantum Computation: Discrete Logarithms and Factoring
    • Santa Fe, NM, pp, IEEE Computer Science Press, Los Alamitos
    • Shor, P.: Algorithms for Quantum Computation: Discrete Logarithms and Factoring. In: Proceedings 35th Annual Symposium on Foundations of Computer Science, Santa Fe, NM, pp. 124-134. IEEE Computer Science Press, Los Alamitos (1994)
    • (1994) Proceedings 35th Annual Symposium on Foundations of Computer Science , pp. 124-134
    • Shor, P.1
  • 20
    • 84937575840 scopus 로고    scopus 로고
    • Steinfeld, R., Zheng, Y.: An advantage of low-exponent RSA with modulus primes sharing least significant bits. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, 2020, pp. 52-62. Springer, Heidelberg (2001)
    • Steinfeld, R., Zheng, Y.: An advantage of low-exponent RSA with modulus primes sharing least significant bits. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, vol. 2020, pp. 52-62. Springer, Heidelberg (2001)
  • 22
    • 84958645678 scopus 로고    scopus 로고
    • The prevalence of kleptographic attacks on discrete-log based cryptosystems
    • Kaliski Jr, B.S, ed, CRYPTO 1997, Springer, Heidelberg
    • Young, A., Yung, M.: The prevalence of kleptographic attacks on discrete-log based cryptosystems. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 264276. Springer, Heidelberg (1997)
    • (1997) LNCS , vol.1294 , pp. 264276
    • Young, A.1    Yung, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.