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Uspekhi Mat. Nauk, 1993, Volume 48, Issue 3(291), Pages 193–194 (Mi umn1304)  

This article is cited in 20 scientific papers (total in 20 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

Lower estimates for the ranks of coordinate sequences of linear recurrent sequences over primary residue rings of integers

A. S. Kuz'min


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English version:
Russian Mathematical Surveys, 1993, 48:3, 203–204

Bibliographic databases:

MSC: 11B83, 11A07
Received: 15.03.1993

Citation: A. S. Kuz'min, “Lower estimates for the ranks of coordinate sequences of linear recurrent sequences over primary residue rings of integers”, Uspekhi Mat. Nauk, 48:3(291) (1993), 193–194; Russian Math. Surveys, 48:3 (1993), 203–204

Citation in format AMSBIB
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\by A.~S.~Kuz'min
\paper Lower estimates for the ranks of coordinate sequences of linear recurrent sequences over primary residue rings of integers
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\yr 1993
\vol 48
\issue 3(291)
\pages 193--194
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\transl
\jour Russian Math. Surveys
\yr 1993
\vol 48
\issue 3
\pages 203--204
\crossref{https://doi.org/10.1070/RM1993v048n03ABEH001044}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. L. Kurakin, “Representations over a field of linear recurrences of maximal period over a quotient ring”, Russian Math. Surveys, 49:2 (1994), 163–165  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. T Helleseth, H.M Martinsen, “Binary Sequences of Period 2m−1 with Large Linear Complexity”, Information and Computation, 151:1-2 (1999), 73  crossref
    3. Shuqin Fan, Wenbao Han, “Random properties of the highest level sequences of primitive sequences over Z//sub 2/sup e//”, IEEE Trans Inform Theory, 49:6 (2003), 1553  crossref  mathscinet  zmath  isi  elib
    4. X.Y. Zhu, W.F. Qi, “Compression Mappings on Primitive Sequences Over<tex>$Z/(p^e)$</tex>”, IEEE Trans Inform Theory, 50:10 (2004), 2442  crossref  mathscinet  isi
    5. Xuan-Yong Zhu, Wen-Feng Qi, “Uniqueness of the distribution of zeroes of primitive level sequences over Z/(pe)”, Finite Fields and Their Applications, 11:1 (2005), 30  crossref
    6. Nigang Sun, Lei Hu, “Expansion and linear complexity of the coordinate sequences over Galois rings”, Journal of Complexity, 22:3 (2006), 382  crossref
    7. Xuan-Yong Zhu, Wen-Feng Qi, “The nonlinear complexity of level sequences over”, Finite Fields and Their Applications, 12:1 (2006), 103  crossref
    8. Zhonghua Sun, Wenfeng Qi, “Injective maps on primitive sequences over Z/(p e)”, Appl Math Chin Univ, 22:4 (2007), 469  crossref  mathscinet  zmath
    9. Xuan-Yong Zhu, Wen-Feng Qi, “Further Result of Compressing Maps on Primitive Sequences Modulo Odd Prime Powers”, IEEE Trans Inform Theory, 53:8 (2007), 2985  crossref  mathscinet  isi  elib
    10. Tian Tian, Wen-Feng Qi, “Injectivity of Compressing Maps on Primitive Sequences Over <formula formulatype="inline"><tex>${\BBZ}/(p^{e})$</tex></formula>”, IEEE Trans Inform Theory, 53:8 (2007), 2960  crossref  mathscinet  isi  elib
    11. Xuan-Yong Zhu, Wen-Feng Qi, “Uniqueness of the distribution of zeroes of primitive level sequences over (II)”, Finite Fields and Their Applications, 13:2 (2007), 230  crossref
    12. Qun-Xiong Zheng, Wen-Feng Qi, “Distribution Properties of Compressing Sequences Derived From Primitive Sequences Over <formula formulatype="inline"><tex Notation="TeX">$\BBZ /(p^{e})$</tex></formula>”, IEEE Trans Inform Theory, 56:1 (2010), 555  crossref  elib
    13. A. S. Kuzmin, G. B. Marshalko, A. A. Nechaev, “Vosstanovlenie lineinoi rekurrenty nad primarnym koltsom vychetov po ee uslozhneniyu”, Matem. vopr. kriptogr., 1:2 (2010), 31–56  mathnet  crossref
    14. Qun-Xiong Zheng, Wen-Feng Qi, “A new result on the distinctness of primitive sequences over Z/(pq) modulo 2”, Finite Fields and Their Applications, 17:3 (2011), 254  crossref
    15. A. S. Kuzmin, A. A. Nechaev, “Reconstruction of a linear recurrence of maximal period over a Galois ring from its highest coordinate sequence”, Discrete Math. Appl., 21:2 (2011), 145–178  mathnet  crossref  crossref  mathscinet  elib
    16. A. S. Kuzmin, G. B. Marshalko, “Vosstanovlenie lineinoi rekurrenty nad primarnym koltsom vychetov po ee uslozhneniyu. II”, Matem. vopr. kriptogr., 2:2 (2011), 81–93  mathnet  crossref
    17. Qun-Xiong Zheng, Wen-Feng Qi, Tian Tian, “On the distinctness of modular reductions of primitive sequences over Z/(232−1)”, Des. Codes Cryptogr, 2012  crossref
    18. Qunxiong Zheng, Wenfeng Qi, Tian Tian, “On the distinctness of modular reductions of primitive sequences modulo square-free odd integers”, Information Processing Letters, 112:22 (2012), 872  crossref
    19. Zheng Q.-X. Qi W.-F. Tian T., “On the Distinctness of Binary Sequences Derived From Primitive Sequences Modulo Square-Free Odd Integers”, IEEE Trans. Inf. Theory, 59:1 (2013), 680–690  crossref  isi
    20. Zhi Hu, Lin Wang, “Injectivity of compressing maps on the set of primitive sequences modulo square-free odd integers”, Cryptogr. Commun, 2015  crossref
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