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Symmetric Information Exchange System Based on Ring Isomorphism

  • CYBERNETICS
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Cybernetics and Systems Analysis Aims and scope

Abstract

Algorithms for exchanging messages between subscribers are proposed based on the properties of finite associative-commutative rings with unity and Diophantine equations over such rings. Algorithms for constructing finite rings whose additive groups are full-cycle, and algorithms for constructing isomorphisms between a ring of kth order whose additive group is full-cycle and the residue ring Zk modulo k are presented.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    S. L. Kryvyi & Yu. A. Nortman

  2. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. N. Opanasenko

  3. National Aviation University, Kyiv, Ukraine

    E. A. Grinenko

Authors
  1. S. L. Kryvyi
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  2. V. N. Opanasenko
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  3. E. A. Grinenko
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  4. Yu. A. Nortman
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Corresponding author

Correspondence to S. L. Kryvyi.

Additional information

Translated from Kibernetyka ta Systemnyi Analiz, No. 5, September–October, 2022, pp. 3–15.

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Kryvyi, S.L., Opanasenko, V.N., Grinenko, E.A. et al. Symmetric Information Exchange System Based on Ring Isomorphism. Cybern Syst Anal 58, 671–682 (2022). https://doi.org/10.1007/s10559-022-00500-y

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  • DOI: https://doi.org/10.1007/s10559-022-00500-y

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