메뉴 건너뛰기




Volumn 53, Issue 5, 2006, Pages 1140-1150

Designing security for number sequences generated by means of the sawtooth chaotic map

Author keywords

Arbitrary order sequences; Chaos; Pseudorandom generators; Sawtooth map; Security

Indexed keywords

CHAOS THEORY; ELECTRIC POWER SYSTEMS; MATHEMATICAL MODELS; NUMBER THEORY; SYSTEMS ANALYSIS;

EID: 33646497677     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.862185     Document Type: Article
Times cited : (18)

References (30)
  • 2
    • 0025483864 scopus 로고
    • "Secure random-number generation"
    • G. M. Berstain and M. A. Lieberman, "Secure random-number generation," IEEE Trans. Circuits Syst., vol. 37, no. 12, pp. 1157-1164, Dec. 1990.
    • (1990) IEEE Trans. Circuits Syst. , vol.37 , Issue.12 , pp. 1157-1164
    • Berstain, G.M.1    Lieberman, M.A.2
  • 3
    • 0002067666 scopus 로고
    • "Simulating chaotic behavior with finite-state machines"
    • P. M. Binder and R. V. Jensen, "Simulating chaotic behavior with finite-state machines," Phys. Rev A, vol. 34, pp. 4460-4463, Nov. 1986.
    • (1986) Phys. Rev A , vol.34 , pp. 4460-4463
    • Binder, P.M.1    Jensen, R.V.2
  • 5
    • 0024303956 scopus 로고
    • "Inferring sequences produced by pseudorandom number generators"
    • J. Boyar, "Inferring sequences produced by pseudorandom number generators," J. Assoc. Comput. Mach., vol. 36, no. 1, pp. 129-142, Jan. 1989.
    • (1989) J. Assoc. Comput. Mach. , vol.36 , Issue.1 , pp. 129-142
    • Boyar, J.1
  • 6
    • 0024867085 scopus 로고
    • "Inferring sequences produced by a linear congruential generator missing low-order bits"
    • J. Boyar, "Inferring sequences produced by a linear congruential generator missing low-order bits," J. Crypt., vol. 1, no. 3, pp. 177-184, Mar. 1989.
    • (1989) J. Crypt. , vol.1 , Issue.3 , pp. 177-184
    • Boyar, J.1
  • 7
    • 0023985464 scopus 로고
    • "Reconstructing truncated integer variables satisfying linear congruencies"
    • A. M. Frieze, J. Hastad, R. Kannan, J. C. Lagarias, and S. Shamir, "Reconstructing truncated integer variables satisfying linear congruencies," SIAM J. Comput., vol. 17, no. 2, pp. 262-280, Apr. 1988.
    • (1988) SIAM J. Comput. , vol.17 , Issue.2 , pp. 262-280
    • Frieze, A.M.1    Hastad, J.2    Kannan, R.3    Lagarias, J.C.4    Shamir, S.5
  • 9
    • 0040523434 scopus 로고
    • "Uber die Verteilung der Primzahlen"
    • H. Ishikawa, "Uber die Verteilung der Primzahlen," Sci. Rep. Tokyo Bunrika Daigaku, vol. A, no. 2, pp. 27-40, 1934.
    • (1934) Sci. Rep. Tokyo Bunrika Daigaku , vol.A , Issue.2 , pp. 27-40
    • Ishikawa, H.1
  • 10
    • 0036118335 scopus 로고    scopus 로고
    • "The period of sequences generated by tent-like maps"
    • M. Jessa, "The period of sequences generated by tent-like maps," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 1, pp. 84-89, Jan. 2002.
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.49 , Issue.1 , pp. 84-89
    • Jessa, M.1
  • 12
    • 0021819410 scopus 로고
    • "Deciphering a linear congruential encryption"
    • D. E. Knuth, "Deciphering a linear congruential encryption," IEEE Trans. Inf. Theory, vol. IT-31, no. 1, pp. 49-52, Jan. 1985.
    • (1985) IEEE Trans. Inf. Theory , vol.IT-31 , Issue.1 , pp. 49-52
    • Knuth, D.E.1
  • 13
    • 0027650105 scopus 로고
    • "Pseudonoise sequences by chaotic nonlinear maps and their correlation properties"
    • T. Kohda and A. Tsuneda, "Pseudonoise sequences by chaotic nonlinear maps and their correlation properties," IEICE Trans. Commun., vol. E76-B, pp. 855-862, Aug. 1993.
    • (1993) IEICE Trans. Commun. , vol.E76-B , pp. 855-862
    • Kohda, T.1    Tsuneda, A.2
  • 14
    • 0030833521 scopus 로고    scopus 로고
    • "Statistics of chaotic binary sequences"
    • T. Kohda and A. Tsuneda, "Statistics of chaotic binary sequences," IEEE Trans. Inf. Theory, vol. 43, no. 1, pp. 104-112, Jan. 1997.
    • (1997) IEEE Trans. Inf. Theory , vol.43 , Issue.1 , pp. 104-112
    • Kohda, T.1    Tsuneda, A.2
  • 15
    • 0012168966 scopus 로고
    • "How to predict congruential generators"
    • H. Krawczyk, "How to predict congruential generators," J. Algorith., vol. 13, no. 4, pp. 527-545, Dec. 1992.
    • (1992) J. Algorith. , vol.13 , Issue.4 , pp. 527-545
    • Krawczyk, H.1
  • 16
    • 0027668237 scopus 로고
    • "A new class of pseudorandom number generator based on chaos in digital filters"
    • T. Lin and L. O. Chua, "A new class of pseudorandom number generator based on chaos in digital filters," Int. J. Circuit Theory Appl., vol. 21, pp. 473-480, Sep. 1993.
    • (1993) Int. J. Circuit Theory Appl. , vol.21 , pp. 473-480
    • Lin, T.1    Chua, L.O.2
  • 19
    • 0020271558 scopus 로고
    • "Inferring a sequence generated by a linear congruence"
    • J. B. Plumstead, "Inferring a sequence generated by a linear congruence," in Proc. IEEE 23rd Symp. Found. Comp. Sci., 1982, pp. 153-159.
    • (1982) Proc. IEEE 23rd Symp. Found. Comp. Sci. , pp. 153-159
    • Plumstead, J.B.1
  • 23
    • 0012873617 scopus 로고
    • "Communication theory of secrecy systems"
    • N. J. A. Sloane and A. D. Wyner, Eds. New York: IEEE Press
    • C. E. Shannon, "Communication theory of secrecy systems," in Claude Elwood Shannon, Collected Papers, N. J. A. Sloane and A. D. Wyner, Eds. New York: IEEE Press, 1993, pp. 84-143.
    • (1993) Claude Elwood Shannon, Collected Papers , pp. 84-143
    • Shannon, C.E.1
  • 24
    • 0023576573 scopus 로고
    • "Secret linear congruential generators are not cryptographically secure"
    • J. Stern, "Secret linear congruential generators are not cryptographically secure," in Proc. IEEE 28th Symp. Found. Comp. Sci., 1987, pp. 421-426.
    • (1987) Proc. IEEE 28th Symp. Found. Comp. Sci. , pp. 421-426
    • Stern, J.1
  • 28
    • 33646496126 scopus 로고    scopus 로고
    • Fundamentals of Cryptology, a Professional Reference and Interactive Tutorial
    • Boston, MA: Kluwer, ch. 13
    • H. C. A. van Tilborg, Fundamentals of Cryptology, a Professional Reference and Interactive Tutorial. Boston, MA: Kluwer, 2000, ch. 13.
    • (2000)
    • van Tilborg, H.C.A.1
  • 29
    • 0012253948 scopus 로고
    • "Cracking random number generator"
    • J. Reeds, "Cracking random number generator," Cryptologia, vol. 1, no. 1, pp. 20-26, Jan. 1977.
    • (1977) Cryptologia , vol.1 , Issue.1 , pp. 20-26
    • Reeds, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.