Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical Gates

In this paper, we continue to study of a novel family of generators producing true uniform random numbers. The generator consists of a number of identical ternary logic combinational gates. In our previous work, the main attention was dedicated to the schemes composed of the gates in a ring. Other c...

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Main Authors: R.Kh. Latypov, E.L. Stolov
Format: Article
Language:English
Published: Kazan Federal University 2017-06-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:https://kpfu.ru/theory-of-ternary-jitter-based-true-random-number_310243.html
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author R.Kh. Latypov
E.L. Stolov
author_facet R.Kh. Latypov
E.L. Stolov
author_sort R.Kh. Latypov
collection DOAJ
description In this paper, we continue to study of a novel family of generators producing true uniform random numbers. The generator consists of a number of identical ternary logic combinational gates. In our previous work, the main attention was dedicated to the schemes composed of the gates in a ring. Other circuits are taken into consideration in this paper. All the units are characterized by time delays that are random and independent. If this time delay has an exponential distribution, then the theory of generator's behaviour is based on the Erlang equations. Some other models are also considered. The features of the multidimensional random vectors produced by the generator are discussed. They can be used for identification of the generator. This article is an extended version of the report presented by the authors at conference [Latypov R.Kh., Stolov E.L. Ternary jitter-based true random number generator. IOP J. Phys.: Conf. Ser., 2017, vol. 783, art. 012064. doi: 10.1088/1742-6596/783/1/012064].
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issn 2541-7746
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language English
publishDate 2017-06-01
publisher Kazan Federal University
record_format Article
series Учёные записки Казанского университета: Серия Физико-математические науки
spelling doaj-art-c8b909c4273247e6befd1227ec449b102024-12-02T07:45:13ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982017-06-011592246262Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical GatesR.Kh. Latypov0E.L. Stolov1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaIn this paper, we continue to study of a novel family of generators producing true uniform random numbers. The generator consists of a number of identical ternary logic combinational gates. In our previous work, the main attention was dedicated to the schemes composed of the gates in a ring. Other circuits are taken into consideration in this paper. All the units are characterized by time delays that are random and independent. If this time delay has an exponential distribution, then the theory of generator's behaviour is based on the Erlang equations. Some other models are also considered. The features of the multidimensional random vectors produced by the generator are discussed. They can be used for identification of the generator. This article is an extended version of the report presented by the authors at conference [Latypov R.Kh., Stolov E.L. Ternary jitter-based true random number generator. IOP J. Phys.: Conf. Ser., 2017, vol. 783, art. 012064. doi: 10.1088/1742-6596/783/1/012064].https://kpfu.ru/theory-of-ternary-jitter-based-true-random-number_310243.htmlternary logictrue random number generatorjitter
spellingShingle R.Kh. Latypov
E.L. Stolov
Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical Gates
Учёные записки Казанского университета: Серия Физико-математические науки
ternary logic
true random number generator
jitter
title Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical Gates
title_full Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical Gates
title_fullStr Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical Gates
title_full_unstemmed Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical Gates
title_short Theory of Ternary Jitter-Based True Random Number Generators Composed of Identical Gates
title_sort theory of ternary jitter based true random number generators composed of identical gates
topic ternary logic
true random number generator
jitter
url https://kpfu.ru/theory-of-ternary-jitter-based-true-random-number_310243.html
work_keys_str_mv AT rkhlatypov theoryofternaryjitterbasedtruerandomnumbergeneratorscomposedofidenticalgates
AT elstolov theoryofternaryjitterbasedtruerandomnumbergeneratorscomposedofidenticalgates