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Showing 1 to 2 of 2 for “"linear recurring sequences"”.
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The number of zeros of linear recurring sequences over finite fields
… set of possible number of zeros of a homogeneous linear recurring sequence over a finite field of <italic>q<italic> elements, based on an irreducible minimal polynomials of degree <italic>d<italic> and order <italic>m<italic> as the characteristic polynomial. I prove upper and lower bounds on the …
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Stream ciphers and linear complexity
… introduce thealgebraic tools for the analysis of linear recurring sequences followed by discussions on the two kinds of basic nonlinear filters.Also, we will discuss the randomness of the sequences over $\mathbb{F}_{q}$ and justify the use of linear complexity profiles to measure the randomness of …