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Volumn 5299 LNCS, Issue , 2008, Pages 181-202

Secure PRNGs from specialized polynomial maps over any q

Author keywords

Hash function; PRNG; Provable security; Sparse multivariate polynomial map

Indexed keywords

HARDNESS; HASH FUNCTIONS; NUMBER THEORY; QUANTUM CRYPTOGRAPHY; RANDOM NUMBER GENERATION;

EID: 56749178556     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-88403-3_13     Document Type: Conference Paper
Times cited : (5)

References (33)
  • 1
    • 38149004458 scopus 로고    scopus 로고
    • Analysis of multivariate hash functions
    • Nam, K.-H, Rhee, G, eds, ICISC 2007, Springer, Heidelberg
    • Aumasson, J.-P., Meier, W.: Analysis of multivariate hash functions. In: Nam, K.-H., Rhee, G. (eds.) ICISC 2007. LNCS, vol. 4817, pp. 309-323. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4817 , pp. 309-323
    • Aumasson, J.-P.1    Meier, W.2
  • 2
    • 38149142875 scopus 로고    scopus 로고
    • Efficient methods for conversion and solution of sparse systems of low-degree multivariate polynomials over gf(2) via sat-solvers. Cryptology ePrint Archive
    • Report 2007/024
    • Bard, G.V., Courtois, N.T., Jefferson, C.: Efficient methods for conversion and solution of sparse systems of low-degree multivariate polynomials over gf(2) via sat-solvers. Cryptology ePrint Archive, Report 2007/024 (2007), http://eprint.iacr.org/
    • (2007)
    • Bard, G.V.1    Courtois, N.T.2    Jefferson, C.3
  • 3
    • 56749128267 scopus 로고    scopus 로고
    • Bardet, M., Faugère, J.-C., Salvy, B.: On the complexity of Gröbner basis computation of semi-regular overdetermined algebraic equations. In: Proceedings of the International Conference on Polynomial System Solving, pp. 71-74 (2004) (Previously INRIA report RR-5049)
    • Bardet, M., Faugère, J.-C., Salvy, B.: On the complexity of Gröbner basis computation of semi-regular overdetermined algebraic equations. In: Proceedings of the International Conference on Polynomial System Solving, pp. 71-74 (2004) (Previously INRIA report RR-5049)
  • 4
    • 56749120236 scopus 로고    scopus 로고
    • Bardet, M., Faugère, J.-C., Salvy, B., Yang, B.-Y.: Asymptotic expansion of the degree of regularity for semi-regular systems of equations. In: Gianni, P. (ed.) MEGA 2005 Sardinia (Italy) (2005)
    • Bardet, M., Faugère, J.-C., Salvy, B., Yang, B.-Y.: Asymptotic expansion of the degree of regularity for semi-regular systems of equations. In: Gianni, P. (ed.) MEGA 2005 Sardinia (Italy) (2005)
  • 5
    • 38149142286 scopus 로고    scopus 로고
    • Berbain, C., Billet, O., Gilbert, H.: Efficient implementations of multivariate quadratic systems. In: Biham, E., Youssef, A.M. (eds.) SAC 2006. LNCS, 4356, pp. 174-187. Springer, Heidelberg (2007)
    • Berbain, C., Billet, O., Gilbert, H.: Efficient implementations of multivariate quadratic systems. In: Biham, E., Youssef, A.M. (eds.) SAC 2006. LNCS, vol. 4356, pp. 174-187. Springer, Heidelberg (2007)
  • 6
    • 38149120938 scopus 로고    scopus 로고
    • Berbain, C., Gilbert, H.: On the security of IV dependent stream ciphers. In: Biryukov, A. (ed.) FSE 2007. LNCS, 4593, pp. 254-273. Springer, Heidelberg (2007)
    • Berbain, C., Gilbert, H.: On the security of IV dependent stream ciphers. In: Biryukov, A. (ed.) FSE 2007. LNCS, vol. 4593, pp. 254-273. Springer, Heidelberg (2007)
  • 7
    • 33746077698 scopus 로고    scopus 로고
    • QUAD: A practical stream cipher with provable security
    • Vaudenay, S, ed, EUROCRYPT 2006, Springer, Heidelberg
    • Berbain, C., Gilbert, H., Patarin, J.: QUAD: A practical stream cipher with provable security. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 109-128. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4004 , pp. 109-128
    • Berbain, C.1    Gilbert, H.2    Patarin, J.3
  • 8
    • 38149109062 scopus 로고    scopus 로고
    • Billet, O., Robshaw, M.J.B., Peyrin, T.: On building hash functions from multivariate quadratic equations. In: Pieprzyk, J., Ghodosi, H., Dawson, E. (eds.) ACISP 2007. LNCS, 4586, pp. 82-95. Springer, Heidelberg (2007)
    • Billet, O., Robshaw, M.J.B., Peyrin, T.: On building hash functions from multivariate quadratic equations. In: Pieprzyk, J., Ghodosi, H., Dawson, E. (eds.) ACISP 2007. LNCS, vol. 4586, pp. 82-95. Springer, Heidelberg (2007)
  • 9
    • 56749109954 scopus 로고    scopus 로고
    • Biryukov, A. (ed.): FSE 2007. LNCS, 4593. Springer, Heidelberg (2007)
    • Biryukov, A. (ed.): FSE 2007. LNCS, vol. 4593. Springer, Heidelberg (2007)
  • 10
    • 85181636336 scopus 로고    scopus 로고
    • Blum, L., Blum, M., Shub, M.: Comparison of two pseudo-random number generators. In: Rivest, R.L., Sherman, A., Chaum, D. (eds.) CRYPTO 1982, pp. 61-78. Plenum Press, New York (1983)
    • Blum, L., Blum, M., Shub, M.: Comparison of two pseudo-random number generators. In: Rivest, R.L., Sherman, A., Chaum, D. (eds.) CRYPTO 1982, pp. 61-78. Plenum Press, New York (1983)
  • 12
    • 77649327985 scopus 로고    scopus 로고
    • Efficient algorithms for solving overdefined systems of multivariate polynomial equations
    • Preneel, B, ed, EUROCRYPT 2000, Springer, Heidelberg
    • Courtois, N.T., Klimov, A., Patarin, J., Shamir, A.: Efficient algorithms for solving overdefined systems of multivariate polynomial equations. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 392-407. Springer, Heidelberg (2000), http://www.minrank.org/xlfull.pdf
    • (2000) LNCS , vol.1807 , pp. 392-407
    • Courtois, N.T.1    Klimov, A.2    Patarin, J.3    Shamir, A.4
  • 13
    • 84958765510 scopus 로고    scopus 로고
    • Cryptanalysis of block ciphers with overdefined systems of equations
    • Zheng, Y, ed, ASIACRYPT 2002, Springer, Heidelberg
    • Courtois, N.T., Pieprzyk, J.: Cryptanalysis of block ciphers with overdefined systems of equations. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 267-287. Springer, Heidelberg (2002)
    • (2002) LNCS , vol.2501 , pp. 267-287
    • Courtois, N.T.1    Pieprzyk, J.2
  • 14
    • 24944450905 scopus 로고    scopus 로고
    • The XL-algorithm and a conjecture from commutative algebra
    • Lee, P.J, ed, ASIACRYPT 2004, Springer, Heidelberg
    • Diem, C.: The XL-algorithm and a conjecture from commutative algebra. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.3329
    • Diem, C.1
  • 15
    • 56749146276 scopus 로고    scopus 로고
    • Multivariate polynomials for hashing
    • Inscrypt, Springer, Heidelberg
    • Ding, J., Yang, B.-Y.: Multivariate polynomials for hashing. In: Inscrypt. LNCS. Springer, Heidelberg (2007), http://eprint.iacr.org/2007/137
    • (2007) LNCS
    • Ding, J.1    Yang, B.-Y.2
  • 20
    • 17444407353 scopus 로고    scopus 로고
    • An improved pseudo-random generator based on the discrete logarithm problem
    • Gennaro, R.: An improved pseudo-random generator based on the discrete logarithm problem. Journal of Cryptology 18, 91-110 (2000)
    • (2000) Journal of Cryptology , vol.18 , pp. 91-110
    • Gennaro, R.1
  • 22
    • 33746371747 scopus 로고    scopus 로고
    • p. In: Batten, L.M., SafaviNaini, R. (eds.) ACISP 2006. LNCS, 4058, pp. 259-270. Springer, Heidelberg (2006)
    • p. In: Batten, L.M., SafaviNaini, R. (eds.) ACISP 2006. LNCS, vol. 4058, pp. 259-270. Springer, Heidelberg (2006)
  • 23
    • 38149025069 scopus 로고    scopus 로고
    • Another look at provable security (part 2)
    • Barua, R, Lange, T, eds, INDOCRYPT 2006, Springer, Heidelberg
    • Koblitz, N., Menezes, A.: Another look at provable security (part 2). In: Barua, R., Lange, T. (eds.) INDOCRYPT 2006. LNCS, vol. 4329, pp. 148-175. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4329 , pp. 148-175
    • Koblitz, N.1    Menezes, A.2
  • 24
    • 85034440461 scopus 로고
    • Gröbner-bases, Gaussian elimination and resolution of systems of algebraic equations
    • van Hulzen, J.A, ed, ISSAC 1983 and EUROCAL 1983, Springer, Heidelberg
    • Lazard, D.: Gröbner-bases, Gaussian elimination and resolution of systems of algebraic equations. In: van Hulzen, J.A. (ed.) ISSAC 1983 and EUROCAL 1983. LNCS, vol. 162, pp. 146-156. Springer, Heidelberg (1983)
    • (1983) LNCS , vol.162 , pp. 146-156
    • Lazard, D.1
  • 25
    • 0024868772 scopus 로고
    • A hard-core predicate for all one-way functions
    • Johnson, D.S, ed, ACM Press, New York
    • Levin, L., Goldreich, O.: A hard-core predicate for all one-way functions. In: Johnson, D.S. (ed.) 21st ACM Symposium on the Theory of Computing - STOC 1989, pp. 25-32. ACM Press, New York (1989)
    • (1989) 21st ACM Symposium on the Theory of Computing , vol.STOC 1989 , pp. 25-32
    • Levin, L.1    Goldreich, O.2
  • 26
    • 85033537496 scopus 로고
    • Public quadratic polynomial-tuples for efficient signature verification and message-encryption
    • Günther, C.G, ed, EUROCRYPT 1988, Springer, Heidelberg
    • Matsumoto, T., Imai, H.: Public quadratic polynomial-tuples for efficient signature verification and message-encryption. In: Günther, C.G. (ed.) EUROCRYPT 1988. LNCS, vol. 330, pp. 419-545. Springer, Heidelberg (1988)
    • (1988) LNCS , vol.330 , pp. 419-545
    • Matsumoto, T.1    Imai, H.2
  • 27
    • 38149062600 scopus 로고    scopus 로고
    • New technique for solving sparse equation systems. Cryptology ePrint Archive
    • Report 2006/475
    • Raddum, H., Semaev, I.: New technique for solving sparse equation systems. Cryptology ePrint Archive, Report 2006/475 (2006), http://eprint.iacr. org/
    • (2006)
    • Raddum, H.1    Semaev, I.2
  • 28
    • 56749109952 scopus 로고    scopus 로고
    • On solving sparse algebraic equations over finite fields (part ii). Cryptology ePrint Archive
    • Report 2007/280
    • Semaev, I.: On solving sparse algebraic equations over finite fields (part ii). Cryptology ePrint Archive, Report 2007/280 (2007), http://eprint.iacr.org/
    • (2007)
    • Semaev, I.1
  • 29
    • 56749098583 scopus 로고    scopus 로고
    • On the provable security of an efficient rsabased pseudorandom generator
    • Lai, X, Chen, K, eds, ASIACRYPT 2006, Springer, Heidelberg
    • Steinfeld, R., Pieprzyk, J., Wang, H.: On the provable security of an efficient rsabased pseudorandom generator. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 194-209. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4284 , pp. 194-209
    • Steinfeld, R.1    Pieprzyk, J.2    Wang, H.3
  • 31
    • 24944535234 scopus 로고    scopus 로고
    • Yang, B.-Y., Chen, J.-M.: All in the XL family: Theory and practice. In: Park, C.-s., Chee, S. (eds.) ICISC 2004. LNCS, 3506, pp. 67-86. Springer, Heidelberg (2005)
    • Yang, B.-Y., Chen, J.-M.: All in the XL family: Theory and practice. In: Park, C.-s., Chee, S. (eds.) ICISC 2004. LNCS, vol. 3506, pp. 67-86. Springer, Heidelberg (2005)
  • 32
    • 33646770907 scopus 로고    scopus 로고
    • Yang, B.-Y., Chen, J.-M.: Theoretical analysis of XL over small fields. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, 3108, pp. 277-288. Springer, Heidelberg (2004)
    • Yang, B.-Y., Chen, J.-M.: Theoretical analysis of XL over small fields. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, vol. 3108, pp. 277-288. Springer, Heidelberg (2004)


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