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The EC sequences on points of an elliptic curve realization using neural networks

The EC sequences on points of an elliptic curve realization using neural networks

This paper shows that pseudorandom number generator based on ECsequence doesn’t satisfy the condition of Knuth k-distribution. A modified pseudorandom number generator on elliptic curve points built in neural network basis is proposed. The proposed generator allows to improve statistical properties...

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Главные авторы: Chervyakov, N. I., Червяков, Н. И., Babenko, M. G., Бабенко, М. Г., Deryabin, M. A., Дерябин, М. А., Kucherov, N. N., Кучеров, Н. Н., Kuchukova, N. N., Кучукова, Н. Н.
格式: Статья
语言:English
出版: Springer Verlag 2018
主题:
EC sequences
Elliptic curve
Neural network of a finite ring
Residue number system (RNS)
在线阅读:https://www.scopus.com/record/display.uri?eid=2-s2.0-84958260764&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=north+caucasus+federal+university&sid=94a185ef2a894025076dc32df599dd02&sot=afnl&sdt=cl&cluster=scopubyr%2c%222016%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=95&citeCnt=2&searchTerm=
https://dspace.ncfu.ru/handle/20.500.12258/3335
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总结:This paper shows that pseudorandom number generator based on ECsequence doesn’t satisfy the condition of Knuth k-distribution. A modified pseudorandom number generator on elliptic curve points built in neural network basis is proposed. The proposed generator allows to improve statistical properties of the sequence based on elliptic curve points so that it satisfies the condition of kdistribution i.e. the sequence is pseudorandom. Application of Neural network over a finite ring to arithmetic operations over finite field allows to increase the speed of pseudorandom number generator on elliptic curve points EC-256 by 1,73 times due to parallel structure

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