|
This article is cited in 2 scientific papers (total in 2 papers)
Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a finite field
O. V. Kamlovskii
Abstract:
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.
Received: 03.08.2006
Citation:
O. V. Kamlovskii, “Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a finite field”, Diskr. Mat., 20:4 (2008), 102–112; Discrete Math. Appl., 18:6 (2008), 595–605
Linking options:
https://www.mathnet.ru/eng/dm1030https://doi.org/10.4213/dm1030 https://www.mathnet.ru/eng/dm/v20/i4/p102
|
Statistics & downloads: |
Abstract page: | 511 | Full-text PDF : | 251 | References: | 43 | First page: | 17 |
|