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2019 | OriginalPaper | Chapter

Sums of Key Functions Generating Cryptosystems

Authors : Nataliya Kalashnykova, Viktor V. Avramenko, Viacheslav Kalashnikov

Published in: Computational Science – ICCS 2019

Publisher: Springer International Publishing

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Abstract

The paper develops an algorithm based on derivative disproportion functions (DDF) for modeling a cryptosystem for transmitting and receiving devices. The transmitted symbols are encoded with the aid of sums of at least two of those functions weighted with random coefficients. Some important properties of the derivative disproportion functions are also discussed. Numerical experiments demonstrate that the algorithm is quite reliable and robust.

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Literature
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go back to reference Avramenko, V.V., Karpenko, A.P.: Recognition of fragments of given standards in an analyzed signal with the aid of disproportionality functions. Trans. Sumy State Univ. (SumDU) 34(1), 96–101 (2002) Avramenko, V.V., Karpenko, A.P.: Recognition of fragments of given standards in an analyzed signal with the aid of disproportionality functions. Trans. Sumy State Univ. (SumDU) 34(1), 96–101 (2002)
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go back to reference Kalashnikov, V.V., Avramenko, V.V., Kalashnykova, N.I., Kalashnikov Jr., V.V.: A cryptosystem based upon sums of key functions. Int. J. Comb. Optim. Prob. Inf. 8(1), 31–38 (2017) Kalashnikov, V.V., Avramenko, V.V., Kalashnykova, N.I., Kalashnikov Jr., V.V.: A cryptosystem based upon sums of key functions. Int. J. Comb. Optim. Prob. Inf. 8(1), 31–38 (2017)
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go back to reference Kalashnikov, V.V., Avramenko, V.V., Slipushko, NYu., Kalashnykova, N.I., Konoplyanchenko, A.E.: Identification of quasi-stationary dynamic objects with the use of derivative disproportion functions. Procedia Comput. Sci. 108(C), 2100–2109 (2017)CrossRef Kalashnikov, V.V., Avramenko, V.V., Slipushko, NYu., Kalashnykova, N.I., Konoplyanchenko, A.E.: Identification of quasi-stationary dynamic objects with the use of derivative disproportion functions. Procedia Comput. Sci. 108(C), 2100–2109 (2017)CrossRef
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go back to reference Kalashnikov, V.V., Avramenko, V.V., Kalashnykova, N.I.: Derivative disproportion functions for pattern recognition. In: Watada, J., Tan, S.C., Vasant, P., Padmanabhan, E., Jain, L.C. (eds.) Unconventional Modelling, Simulation, and Optimization of Geoscience and Petroleum Engineering, pp. 95–104. Springer, Heidelberg (2018). Chapter 7 Kalashnikov, V.V., Avramenko, V.V., Kalashnykova, N.I.: Derivative disproportion functions for pattern recognition. In: Watada, J., Tan, S.C., Vasant, P., Padmanabhan, E., Jain, L.C. (eds.) Unconventional Modelling, Simulation, and Optimization of Geoscience and Petroleum Engineering, pp. 95–104. Springer, Heidelberg (2018). Chapter 7
Metadata
Title
Sums of Key Functions Generating Cryptosystems
Authors
Nataliya Kalashnykova
Viktor V. Avramenko
Viacheslav Kalashnikov
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-22750-0_23

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