메뉴 건너뛰기




Volumn 53, Issue 11, 2007, Pages 4293-4302

On the nonlinear complexity and Lempel-Ziv complexity of finite length sequences

Author keywords

Compression; Cryptography; Eigenvalue; Lempel Ziv complexity; Nonlinear complexity; Nonlinear feedback shift registers; Sequences

Indexed keywords

BINARY SEQUENCES; COMPUTATIONAL COMPLEXITY; CRYPTOGRAPHY; EIGENVALUES AND EIGENFUNCTIONS; SHIFT REGISTERS;

EID: 36349010333     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2007.907442     Document Type: Article
Times cited : (39)

References (28)
  • 5
    • 84937740421 scopus 로고
    • Shift register synthesis and BCH decoding
    • J. L. Massey, "Shift register synthesis and BCH decoding," IEEE Trans. Inf. Theory, vol. IT-15, no. 1, pp. 122-127, 1969.
    • (1969) IEEE Trans. Inf. Theory , vol.IT-15 , Issue.1 , pp. 122-127
    • Massey, J.L.1
  • 6
    • 0017017134 scopus 로고
    • An analysis of the structure and complexity of nonlinear binary sequence generators
    • E. L. Key, "An analysis of the structure and complexity of nonlinear binary sequence generators," IEEE Trans. Inf. Theory, vol. IT-22, no. 6, pp. 732-736, 1976.
    • (1976) IEEE Trans. Inf. Theory , vol.IT-22 , Issue.6 , pp. 732-736
    • Key, E.L.1
  • 8
    • 0000937205 scopus 로고
    • A Fourier transform approach to the linear complexity of nonlinearly filtered sequences
    • Adv. Cryptology-CRYPTO '94, Berlin, Germany
    • J. L. Massey and S. Serconek, "A Fourier transform approach to the linear complexity of nonlinearly filtered sequences," in Adv. Cryptology-CRYPTO '94, Berlin, Germany, 1994, vol. 839, Lecture Notes in Computer Science, pp. 332-340.
    • (1994) Lecture Notes in Computer Science , vol.839 , pp. 332-340
    • Massey, J.L.1    Serconek, S.2
  • 9
    • 84955614319 scopus 로고    scopus 로고
    • Linear complexity of periodic sequences: A general theory
    • Adv. Cryptology-CRYPTO '96, Berlin, Germany
    • J. L. Massey and S. Serconek, "Linear complexity of periodic sequences: A general theory," in Adv. Cryptology-CRYPTO '96, Berlin, Germany, 1996, vol. 1109, Lecture Notes in Computer Science, pp. 358-371.
    • (1996) Lecture Notes in Computer Science , vol.1109 , pp. 358-371
    • Massey, J.L.1    Serconek, S.2
  • 10
    • 0345306741 scopus 로고    scopus 로고
    • On the linear complexity of non-linearly filtered PN-sequences
    • N. Kolokotronis and N. Kalouptsidis, "On the linear complexity of non-linearly filtered PN-sequences," IEEE Trans. Inf. Theory, vol. 49, no. 11, pp. 3047-3059, 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.11 , pp. 3047-3059
    • Kolokotronis, N.1    Kalouptsidis, N.2
  • 12
    • 33749651548 scopus 로고    scopus 로고
    • Lower bounds on sequence complexity via generalized Vandermode determinants
    • Berlin, Germany
    • N. Kolokotronis, K. Limniotis, and N. Kalouptsidis, "Lower bounds on sequence complexity via generalized Vandermode determinants," in Sequences and Their Applications, Berlin, Germany, 2006, vol. 4086, pp. 271-284.
    • (2006) Sequences and Their Applications , vol.4086 , pp. 271-284
    • Kolokotronis, N.1    Limniotis, K.2    Kalouptsidis, N.3
  • 13
    • 0011734560 scopus 로고
    • Investigations on Nonlinear Streamcipher Systems: Construction and Evaluation Methods,
    • Ph.D. dissertation, Technical University of Delft, Delft, The Netherlands
    • C. J. A. Jansen, "Investigations on Nonlinear Streamcipher Systems: Construction and Evaluation Methods," Ph.D. dissertation, Technical University of Delft, Delft, The Netherlands, 1989.
    • (1989)
    • Jansen, C.J.A.1
  • 14
    • 84977543792 scopus 로고
    • The shortest feedback shift register that can generate a given sequence
    • Adv. Cryptology-CRYPTO '89 Berlin, Germany
    • C. J. A. Jansen and D. E. Boekee, "The shortest feedback shift register that can generate a given sequence," in Adv. Cryptology-CRYPTO '89 Berlin, Germany, 1990, vol. 435, Lecture Notes in Computer Science, pp. 90-99.
    • (1990) Lecture Notes in Computer Science , vol.435 , pp. 90-99
    • Jansen, C.J.A.1    Boekee, D.E.2
  • 15
    • 85027256743 scopus 로고
    • The maximum order complexity of sequence ensembles
    • Adv. Cryptology-Eurocrypt '91, Berlin, Germany
    • C. J. A. Jansen, "The maximum order complexity of sequence ensembles," in Adv. Cryptology-Eurocrypt '91, Berlin, Germany, 1991, vol. 547, Lecture Notes in Computer Science, pp. 153-159.
    • (1991) Lecture Notes in Computer Science , vol.547 , pp. 153-159
    • Jansen, C.J.A.1
  • 16
    • 2242491874 scopus 로고    scopus 로고
    • An approximate distribution for the maximum order complexity
    • D. Erdmann and S. Murphy, "An approximate distribution for the maximum order complexity," Des. Codes Cryptogr., vol. 10, no. 3, pp. 325-339, 1997.
    • (1997) Des. Codes Cryptogr , vol.10 , Issue.3 , pp. 325-339
    • Erdmann, D.1    Murphy, S.2
  • 17
    • 17644409382 scopus 로고    scopus 로고
    • Results on the nonlinear span of binary sequences
    • P. Rizomiliotis and N. Kalouptsidis, "Results on the nonlinear span of binary sequences," IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1555-1563, 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.4 , pp. 1555-1563
    • Rizomiliotis, P.1    Kalouptsidis, N.2
  • 19
    • 33748559477 scopus 로고    scopus 로고
    • Constructing periodic binary sequences of maximum nonlinear span
    • P. Rizomiliotis, "Constructing periodic binary sequences of maximum nonlinear span," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 4257-4261, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.9 , pp. 4257-4261
    • Rizomiliotis, P.1
  • 20
    • 0016880887 scopus 로고
    • On the complexity of finite sequences
    • A. Lempel and J. Ziv, "On the complexity of finite sequences," IEEE Trans. Inf. Theory, vol. IT-22, no. 1, pp. 75-81, 1976.
    • (1976) IEEE Trans. Inf. Theory , vol.IT-22 , Issue.1 , pp. 75-81
    • Lempel, A.1    Ziv, J.2
  • 21
    • 0017493286 scopus 로고
    • A universal algorithm for sequential data compression
    • J. Ziv and A. Lempel, "A universal algorithm for sequential data compression," IEEE Trans. Inf. Theory, vol. IT-23, no. 3, pp. 337-343, 1977.
    • (1977) IEEE Trans. Inf. Theory , vol.IT-23 , Issue.3 , pp. 337-343
    • Ziv, J.1    Lempel, A.2
  • 22
    • 0018019231 scopus 로고
    • Compression of individual sequences via variable-rate coding
    • J. Ziv and A. Lempel, "Compression of individual sequences via variable-rate coding," IEEE Trans. Inf. Theory, vol. IT-24, no. 5, pp. 530-536, 1978.
    • (1978) IEEE Trans. Inf. Theory , vol.IT-24 , Issue.5 , pp. 530-536
    • Ziv, J.1    Lempel, A.2
  • 23
    • 0028448560 scopus 로고
    • The sliding-window Lempel-Ziv algorithm is asymptotically optimal
    • A. D. Wyner and J. Ziv, "The sliding-window Lempel-Ziv algorithm is asymptotically optimal," Proc. IEEE, vol. 82, pp. 872-877, 1994.
    • (1994) Proc. IEEE , vol.82 , pp. 872-877
    • Wyner, A.D.1    Ziv, J.2
  • 25
    • 33749682636 scopus 로고    scopus 로고
    • Nonlinear complexity of binary sequences and connections with Lempel-Ziv compression
    • Berlin, Germany
    • K. Limniotis, N. Kolokotronis, and N. Kalouptsidis, "Nonlinear complexity of binary sequences and connections with Lempel-Ziv compression," in Sequences and Their Applications, Berlin, Germany, 2006, vol. 4086, pp. 168-179.
    • (2006) Sequences and Their Applications , vol.4086 , pp. 168-179
    • Limniotis, K.1    Kolokotronis, N.2    Kalouptsidis, N.3
  • 27
    • 2642571810 scopus 로고    scopus 로고
    • S. Stergiou, D. Voudouris, and G. Papakonstantinou, Multiple-value exclusive-or sum-of-products minimization algorithms, IEICE Trans. Fund., E.87-A, no. 5, pp. 1226-1234, 2004.
    • S. Stergiou, D. Voudouris, and G. Papakonstantinou, "Multiple-value exclusive-or sum-of-products minimization algorithms," IEICE Trans. Fund., vol. E.87-A, no. 5, pp. 1226-1234, 2004.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.