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de Weger B.M.M. (1986) `Approximation lattices of p-adic numbers', Journal of Number Theory, 24:70--88, 1986.

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Research Summary - Klapper   (Correct)

.... the smallest FCSR which generates the sequence if the 2 adic span is small (we call this the register sybthesis problem for FCSRs) This algorithm, which we call the 2 Adic Rational Approximation or RA algorithm, is based 6 on de Weger s lattice theoretic approach to p adic continued fractions [51]. The 2 adic span is a major new measure of cryptanalytic security. All future stream ciphers must pass this test. The taps q 1 ; q 2 ; q r on the cells of an FCSR correspond to the connection integer q = q r 2 r q r 1 2 r 1 q 1 2 1 and the sequence a 0 ; a 1 ; ....

B. M. M. de Weger, Approximation lattices of p-adic numbers, Journal of Number Theory 24 (1986) pp. 70-88.


Search Algorithms For Fcsr - Architectures And Properties   (Correct)

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de Weger B.M.M. (1986) `Approximation lattices of p-adic numbers', Journal of Number Theory, 24:70--88, 1986.


Feedback Shift Registers, 2-Adic Span, and Combiners with Memory - Klapper, al. (1997)   (Correct)

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B. M. M. de Weger, Approximation lattices of p-adic numbers, J. Number Theory, vol. 24, 1986, pp. 70-- 88.

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