Geodesic
Distribution properties of sequences produced by filtering generators
Prikladnaâ diskretnaâ matematika, no. 3 (2013), pp. 11-25

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The distributions of $r$-tuples in output sequences of filtering generators over finite fields are considered. Bounds for the number of a given $r$-tuple occurrences are proved. Also, bounds for cross-correlation coefficients are established, and conditions for stated sequences to be different are got.
Keywords: filter generators, finite fields, linear recurring sequences, additive character sums. 
@article{PDM_2013_3_a1,
     author = {O. V. Kamlovskii},
     title = {Distribution properties of sequences produced by filtering generators},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {11--25},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2013_3_a1/}
}
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O. V. Kamlovskii. Distribution properties of sequences produced by filtering generators. Prikladnaâ diskretnaâ matematika, no. 3 (2013), pp. 11-25. http://geodesic.mathdoc.fr/item/PDM_2013_3_a1/