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Problemy Peredachi Informatsii, 2008, Volume 44, Issue 2, Pages 101–109 (Mi ppi1274)  

This article is cited in 3 scientific papers (total in 3 papers)

Information Protection

Occurrence Indices of Elements in Linear Recurrence Sequences over Primary Residue Rings

D. N. Bylkov, O. V. Kamlovskii
Full-text PDF (640 kB) Citations (3)
References:
Abstract: We study distances to the first occurrence (occurrence indices) of a given element in a linear recurrence sequence over a primary residue ring Zpn. We give conditions on the characteristic polynomial F(x) of a linear recurrence sequence u which guarantee that all elements of the ring occur in u. For the case where F(x) is a reversible Galois polynomial over Zpn, we give upper bounds for occurrence indices of elements in a linear recurrence sequence u. A situation where the characteristic polynomial F(x) of a linear recurrence sequence u is a trinomial of a special form over Z4 is considered separately. In this case we give tight upper bounds for occurrence indices of elements of u.
Received: 30.09.2007
Revised: 11.03.2008
English version:
Problems of Information Transmission, 2008, Volume 44, Issue 2, Pages 161–168
DOI: https://doi.org/10.1134/S0032946008020087
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:004.7
Language: Russian
Citation: D. N. Bylkov, O. V. Kamlovskii, “Occurrence Indices of Elements in Linear Recurrence Sequences over Primary Residue Rings”, Probl. Peredachi Inf., 44:2 (2008), 101–109; Problems Inform. Transmission, 44:2 (2008), 161–168
Citation in format AMSBIB
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\by D.~N.~Bylkov, O.~V.~Kamlovskii
\paper Occurrence Indices of Elements in Linear Recurrence Sequences over Primary Residue Rings
\jour Probl. Peredachi Inf.
\yr 2008
\vol 44
\issue 2
\pages 101--109
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\transl
\jour Problems Inform. Transmission
\yr 2008
\vol 44
\issue 2
\pages 161--168
\crossref{https://doi.org/10.1134/S0032946008020087}
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Linking options:
  • https://www.mathnet.ru/eng/ppi1274
  • https://www.mathnet.ru/eng/ppi/v44/i2/p101
  • This publication is cited in the following 3 articles:
    1. Qun-Xiong Zheng, Dongdai Lin, Wen-Feng Qi, Lecture Notes in Computer Science, 11449, Information Security and Cryptology, 2019, 568  crossref
    2. Yuan Cheng, Wen-Feng Qi, Qun-Xiong Zheng, Dong Yang, “On the distinctness of primitive sequences over Z/(p e q) modulo 2”, Cryptogr. Commun., 8:3 (2016), 371  crossref
    3. O. V. Kamlovskii, “Kolichestvo razlichnykh multigramm v lineinykh rekurrentnykh posledovatelnostyakh nad koltsami Galua”, Matem. vopr. kriptogr., 4:3 (2013), 49–82  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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    Abstract page:404
    Full-text PDF :149
    References:57
    First page:6
     
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