메뉴 건너뛰기




Volumn 1109, Issue , 1996, Pages 358-371

Linear complexity of periodic sequences: A general theory

Author keywords

Chan algorithm; DFT games; Discrete fourier transform; Hadamard product; Hasse derivative; Hyperderivative; Linear complexity; Stream ciphers

Indexed keywords

CRYPTOGRAPHY; DISCRETE FOURIER TRANSFORMS; HADAMARD TRANSFORMS;

EID: 84955614319     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-68697-5_27     Document Type: Conference Paper
Times cited : (53)

References (16)
  • 2
    • 0028514143 scopus 로고
    • A Generalisation of the Discrete Fourier Transform: Determining the Minimal Polynomial oI a Periodic Sequence
    • Nov
    • S. R. Blackburn, ''A Generalisation of the Discrete Fourier Transform: Determining the Minimal Polynomial oI a Periodic Sequence," IEEE Trans. Inform. Theory, vol. IT-40, pp. 1702-1704, Nov. 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.IT-40 , pp. 1702-1704
    • Blackburn, S.R.1
  • 4
    • 0020543226 scopus 로고
    • A Fast Algorithm for Determining the Complexity of a Binary Sequence with Period 2'\
    • Jan
    • R. A. Games and A. H. Chan, "A Fast Algorithm for Determining the Complexity of a Binary Sequence with Period 2'\" IEEE Trans. Inform. Theory, vol. IT-29, pp. 144-146, Jan. 1983.
    • (1983) IEEE Trans. Inform. Theory , vol.IT-29 , pp. 144-146
    • Games, R.A.1    Chan, A.H.2
  • 5
    • 0005275826 scopus 로고
    • A Finite Field Fourier Transform for Vectors of Arbitrary Length
    • (Eds. R. E. Blalint, D..1. Costello, Jr., U. Maurer and T. Mittelholzer). Norweü, MA, and Dordrecht, NL: Kluver Academic
    • C. G. Günther, ''A Finite Field Fourier Transform for Vectors of Arbitrary Length," pp. 141-153 in Communications and Cryptography: Two Sides of One Tapestry (Eds. R. E. Blalint, D..1. Costello, Jr., U. Maurer and T. Mittelholzer). Norweü, MA, and Dordrecht, NL: Kluver Academic, 1994.
    • (1994) Communications and Cryptography: Two Sides of One Tapestry , pp. 141-153
    • Günther, C.G.1
  • 6
    • 0041366423 scopus 로고
    • Ilasse-Teichmüller Derivatives and Products of Linear Recurring Sequences
    • R. Göttfert and H. Niederreiter, "Ilasse-Teichmüller Derivatives and Products of Linear Recurring Sequences," Comtemparary Mathematics, vol. 168, pp.117-125, 1994.
    • (1994) Comtemparary Mathematics , vol.168 , pp. 117-125
    • Göttfert, R.1    Niederreiter, H.2
  • 7
    • 0001918069 scopus 로고
    • Iheorie der höheren Differentiate in einem algebraischen Funktio- neukõrpor rnit vollkommenen Konstantenkörpcr bei beliebiger Charakteristik
    • H. Hasse, " Iheorie der höheren Differentiate in einem algebraischen Funktio- neukõrpor rnit vollkommenen Konstantenkörpcr bei beliebiger Charakteristik," J. Retric n. Aug. Math., vol. 175, pp. 50-54, 1936.
    • (1936) J. Retric n. Aug. Math , vol.175 , pp. 50-54
    • Hasse, H.1
  • 8
    • 0017017134 scopus 로고
    • An analysis of the Structure and Complexity of Nonlinear Binary Sequence Generators
    • Nov
    • E. L. Key, "An analysis of the Structure and Complexity of Nonlinear Binary Sequence Generators," IEEE Trans. Inform. Th., vol. IT-22, pp. 732- 736, Nov. 1976.
    • (1976) IEEE Trans. Inform. Th , vol.IT-22 , pp. 732-736
    • Key, E.L.1
  • 9
    • 84955616946 scopus 로고
    • Encyclopedia of Mathematics and its Applications, Englewood Cliffs, NJ: Addison-Wesley
    • R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia of Mathematics and its Applications, vol. 20. Englewood Cliffs, NJ: Addison-Wesley, 1983.
    • (1983) Finite Fields , vol.20
    • Lidl, R.1    Niederreiter, H.2
  • 10
    • 0002796533 scopus 로고
    • Sur les congruences des nombres euleriennos et des coefficients diffénticls des functions Irigonométriquos, suivant un-module premier
    • M. E. Lucas, "Sur les congruences des nombres euleriennos et des coefficients diffénticls des functions Irigonométriquos, suivant un-module premier," Bull. Soc. Math. France, vol. 6, pp. 49-54, 1878.
    • (1878) Bull. Soc. Math. France , vol.6 , pp. 49-54
    • Lucas, M.E.1
  • 11
    • 0000937205 scopus 로고
    • A Fourier Transform Approach to the Linear Complexity of Nonlinearly Filtered Sequences
    • (Ed. Y. G. Desinedt), Lecture Notes in Computer Science No. 839. New York: Springer
    • J. L. Massey and S. Serconek, "A Fourier Transform Approach to the Linear Complexity of Nonlinearly Filtered Sequences," Advances in Cryptology-CRYPTO '94 (Ed. Y. G. Desinedt), Lecture Notes in Computer Science No. 839. New York: Springer, pp.322-340, 1994.
    • (1994) Advances in Cryptology-CRYPTO '94 , pp. 322-340
    • Massey, J.L.1    Serconek, S.2
  • 12
    • 41949121622 scopus 로고
    • A Generalization of the Discrete Fourier Transform in Finite Fields
    • San Diego (CA)
    • P. Mathys, "A Generalization of the Discrete Fourier Transform in Finite Fields," Proc. IEEE Symp. inform. Theory, San Diego (CA), pp. 14-19, 1990.
    • (1990) Proc. IEEE Symp. inform. Theory , pp. 14-19
    • Mathys, P.1
  • 13
    • 84955604165 scopus 로고    scopus 로고
    • On the Linear Complexity of Nonlinearly Filtered m-sequences
    • Feb. 2
    • K. Paterson, "On the Linear Complexity of Nonlinearly Filtered m-sequences," preliminary manuscript, Feb. 2, 1996.
    • (1996) Preliminary manuscript
    • Paterson, K.1
  • 14
    • 0013131912 scopus 로고
    • On Evaluating the Linear Complexity of a Sequence of Least Period 2
    • M. Robshaw, "On Evaluating the Linear Complexity of a Sequence of Least Period 2"," Designs, Codes and Cryptography, vol. 4, pp. 263-269, 1994.
    • (1994) Designs, Codes and Cryptography , vol.4 , pp. 263-269
    • Robshaw, M.1
  • 16
    • 0002691528 scopus 로고
    • Differentialrechnung bei Charackteristik p
    • O. Teichmũuer, "Difderentialrechnung bei Charackteristik p" J. Reint: u. Ang. Math vol. 175, pp. 89-99, 1936.
    • (1936) J. Reint: U. Ang. Math , vol.175 , pp. 89-99
    • Teichmũuer, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.