메뉴 건너뛰기




Volumn 48, Issue 11, 2002, Pages 2826-2836

Fibonacci and Galois representations of feedback-with-carry shift registers

Author keywords

d FCSR; Feedback with carry; Feedback with carry shift register (FCSR); Fibonacci; Galois; Linear feedback shift register (LFSR)

Indexed keywords

FEEDBACK-WITH-CARRY SHIFT REGISTER; FIBONACCI ARCHITECTURE; GALOIS ARCHITECTURE; LINEAR FEEDBACK SHIFT REGISTER; PSEUDORANDOM SEQUENCES;

EID: 0036846906     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2002.804048     Document Type: Article
Times cited : (147)

References (26)
  • 1
    • 84968468396 scopus 로고
    • On the lattice structure of certain linear congruential sequences related to AWC/SWB generators
    • R. Couture and P. L'Ecuyer, "On the lattice structure of certain linear congruential sequences related to AWC/SWB generators," Math. Comp., vol. 62, pp. 799-808, 1994.
    • (1994) Math. Comp. , vol.62 , pp. 799-808
    • Couture, R.1    L'Ecuyer, P.2
  • 2
    • 0031510935 scopus 로고    scopus 로고
    • Distribution properties of multiply-with-carry random number generators
    • ____, "Distribution properties of multiply-with-carry random number generators," Math. Comp., vol. 66, pp. 591-607, 1997.
    • (1997) Math. Comp. , vol.66 , pp. 591-607
    • Couture, R.1    L'Ecuyer, P.2
  • 4
    • 0004279541 scopus 로고
    • Washington, DC: Carnegie Inst., 1919; Reprinted by Chelsea and published by American Mathematical Society
    • L. E. Dickson, History of the Theory of Numbers. Washington, DC: Carnegie Inst., 1919, vol. 1. Reprinted by Chelsea and published by American Mathematical Society, 1966.
    • (1966) History of the Theory of Numbers , vol.1
    • Dickson, L.E.1
  • 6
    • 24244479787 scopus 로고    scopus 로고
    • Periodicity and arithmetic correlations of algebraic feedback shift register sequences over ramified extensions of the rationals
    • preprint
    • M. Goresky and A. Klapper, "Periodicity and arithmetic correlations of algebraic feedback shift register sequences over ramified extensions of the rationals," preprint.
    • Goresky, M.1    Klapper, A.2
  • 7
    • 0033879221 scopus 로고    scopus 로고
    • Fourier transforms and the 2-adic span of periodic binary sequences
    • Mar.
    • M. Goresky, A. M. Klapper, and L. Washington, "Fourier transforms and the 2-adic span of periodic binary sequences," IEEE Trans. Inform. Theory, vol. 46, pp. 687-691, Mar. 2000.
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 687-691
    • Goresky, M.1    Klapper, A.M.2    Washington, L.3
  • 8
    • 0011312044 scopus 로고    scopus 로고
    • Distributional properties of d-FCSR sequences
    • manuscript, to be published
    • M. Goresky and A. Klapper, "Distributional properties of d-FCSR sequences," manuscript, to be published.
    • Goresky, M.1    Klapper, A.2
  • 9
    • 0003252584 scopus 로고
    • A classical introduction to modern number theory
    • New York: Springer-Verlag
    • K. Ireland and M. Rosen, "A classical introduction to modern number theory," in Graduate Texts in Mathematics. New York: Springer-Verlag, 1990, vol. 84.
    • (1990) Graduate Texts in Mathematics , vol.84
    • Ireland, K.1    Rosen, M.2
  • 10
    • 0017017134 scopus 로고
    • An analysis of the structure and complexity of nonlinear binary sequence generators
    • Nov.
    • E. Key, "An analysis of the structure and complexity of nonlinear binary sequence generators," IEEE Trans. Inform. Theory, vol. IT-22, pp. 732-736, Nov. 1976.
    • (1976) IEEE Trans. Inform. Theory , vol.IT-22 , pp. 732-736
    • Key, E.1
  • 12
    • 0001760011 scopus 로고    scopus 로고
    • Feedback shift registers, 2-adic span, and combiners with memory
    • A. Klapper and M. Goresky, "Feedback shift registers, 2-adic span, and combiners with memory," J. Cryptogr., vol. 10, pp. 111-147, 1997.
    • (1997) J. Cryptogr. , vol.10 , pp. 111-147
    • Klapper, A.1    Goresky, M.2
  • 13
    • 0031189142 scopus 로고    scopus 로고
    • Arithmetic crosscorrelation of feedback with carry shift regiseter sequences
    • July
    • M. Goresky and A. M. Klapper, "Arithmetic crosscorrelation of feedback with carry shift regiseter sequences," IEEE Trans. Inform. Theory, vol. 43, pp. 1342-1346, July 1997.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , pp. 1342-1346
    • Goresky, M.1    Klapper, A.M.2
  • 17
    • 0003019542 scopus 로고    scopus 로고
    • Algebraic feedback shift registers
    • A. Klapper and J. Xu, "Algebraic feedback shift registers," Theor. Comp. Sci., vol. 226, pp. 61-93, 1999.
    • (1999) Theor. Comp. Sci. , vol.226 , pp. 61-93
    • Klapper, A.1    Xu, J.2
  • 19
    • 0011354746 scopus 로고    scopus 로고
    • Register synthesis for algebraic feedback shift registers based on nonprimes
    • manuscript, submitted for publication
    • ____, "Register synthesis for algebraic feedback shift registers based on nonprimes," manuscript, submitted for publication.
    • Klapper, A.1    Xu, J.2
  • 22
    • 0003522273 scopus 로고    scopus 로고
    • Fast pseudorandom sequence generators: Linear feedback shift registers, cellular automata, and carry feedback shift registers
    • Univ. Bradford Elec. Eng. Dept., Bradford, U.K., Rep. 94
    • J. Noras, "Fast pseudorandom sequence generators: Linear feedback shift registers, cellular automata, and carry feedback shift registers," Univ. Bradford Elec. Eng. Dept., Bradford, U.K., Rep. 94, 1997.
    • (1997)
    • Noras, J.1
  • 23
    • 0000808175 scopus 로고
    • Encoding and error-correction procedure for the bose-chaudhuri codes
    • Sept.
    • W. W. Peterson, "Encoding and error-correction procedure for the Bose-Chaudhuri codes," IRE Trans. Inform. Theory, vol. IT-6, pp. 459-470, Sept. 1960.
    • (1960) IRE Trans. Inform. Theory , vol.IT-6 , pp. 459-470
    • Peterson, W.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.