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Mat. Vopr. Kriptogr., 2014, Volume 5, Issue 4, Pages 17–39 (Mi mvk133)  

A construction of new classes of filter generators without equivalent states

D. N. Bylkov

LLC "Certification Research Center", Moscow

Abstract: We find conditions ensuring the nonexistence of equivalent states for the filter generator consisting of a shift register with a reducible characteristic polynomial over residue ring (Galois ring) and a filter function. An algorithm for recovering the maximum period LRS over residue ring by the linear combination of polynomials of the highest coordinate sequence symbols is suggested. The review of previous results is given.

Key words: linear recurrent sequences over residue rings, coordinate sequences, filtering of linear recurrences.

DOI: https://doi.org/10.4213/mvk133

Full text: PDF file (485 kB)
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UDC: 511.336+519.113.6
Received 22.IV.2013

Citation: D. N. Bylkov, “A construction of new classes of filter generators without equivalent states”, Mat. Vopr. Kriptogr., 5:4 (2014), 17–39

Citation in format AMSBIB
\Bibitem{Byl14}
\by D.~N.~Bylkov
\paper A construction of new classes of filter generators without equivalent states
\jour Mat. Vopr. Kriptogr.
\yr 2014
\vol 5
\issue 4
\pages 17--39
\mathnet{http://mi.mathnet.ru/mvk133}
\crossref{https://doi.org/10.4213/mvk133}


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