Geodesic
Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a~finite field
Diskretnaya Matematika, Tome 20 (2008) no. 4, pp. 102-112

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We consider the problem of description of the frequency characteristics of some linear recurring sequences over a finite field. In a paper by R. McEliece, estimates of frequencies of occurrence of elements on the cycles of linear recurring sequences over a finite field with irreducible characteristic polynomial were obtained. The present paper is devoted to a generalisation of these estimates in the case of sequences of vectors with elements of several recurring sequences. The obtained results refine the known estimates of such frequencies. 
@article{DM_2008_20_4_a8,
     author = {O. V. Kamlovskii},
     title = {Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a~finite field},
     journal = {Diskretnaya Matematika},
     pages = {102--112},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2008_20_4_a8/}
}
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O. V. Kamlovskii. Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a~finite field. Diskretnaya Matematika, Tome 20 (2008) no. 4, pp. 102-112. http://geodesic.mathdoc.fr/item/DM_2008_20_4_a8/