Large Systems of Boolean Functions: Realization by Modular Arithmetic Methods

Finko, Oleg

doi:10.1023/b:aurc.0000030901.74901.44

Cited by 8 publications

(4 citation statements)

References 6 publications

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“…Important advantages for these purposes have redundant arithmetic codes, in particular, so-called AN -codes and residue number systems (RNS) codes. The application of these codes to monitor logical data types and fault tolerance implementing devices became possible with the introduction of logical operations arithmetic expressions [11], in particular linear numerical polynomials (LNP) and modular forms [12].…”

Section: Analysis Of Methods For Reliable Binary Prs Generationmentioning

confidence: 99%

Secure Pseudo-Random Linear Binary Sequences Generators Based on Arithmetic Polynoms

Finko

Dichenko

2015

Advances in Intelligent Systems and Computing

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We present a new approach to constructing of pseudo-random binary sequences (PRS) generators for the purpose of cryptographic data protection, secured from the perpetrator's attacks, caused by generation of masses of hardware errors and faults. The new method is based on use of linear polynomial arithmetic for the realization of systems of boolean characteristic functions of PRS' generators. "Arithmetizatio" of systems of logic formulas has allowed to apply mathematical apparatus of residue systems for multisequencing of the process of PRS generation and organizing control of computing errors, caused by hardware faults. This has guaranteed high security of PRS generator's functioning and, consequently, security of tools for cryptographic data protection based on those PRSs.

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Section: Analysis Of Methods For Reliable Binary Prs Generationmentioning

confidence: 99%

Secure Pseudo-Random Linear Binary Sequences Generators Based on Arithmetic Polynoms

Finko

Dichenko

2015

Advances in Intelligent Systems and Computing

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“…Эти результаты получены для фрейма в 36 отсчетах, из которых 4 отсчета приходятся на полезный сигнал. Анализ данных указывает на значительную вычислительную сложность методики [39]. В связи с этим предлагается провести декомпозицию алгоритма, например, в соответствии с подходом, предложенным в [40].…”

Section: Fig 2 Presentation Of the Signal In The Time Domainunclassified

Synchronization Method and Detection of Sequent Signals in the Ultra Wide Band Channel

Borisov¹,

Dvornikov²,

Pshenichnikov³

et al. 2020

PTU

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The physical features of ultra-wideband signals are considered. The well-known technical solutions for synchronizing signals during their accumulation are analyzed. The necessity of randomizing the temporal parameters of the following pulse their accumulation is substantiated. The main steps of the technique are described that allow the simultaneous solution of the problem of detecting sequential signals by accumulating them on the receiving side and synchronizing them. An assessment of the computational complexity of the technique is presented and recommendations for its practical application are given.

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“…The well-known approaches based on modular arithmetic [30] only partly solve this problem, which we now we solve using the properties of the coefficients of LARs.…”

Section: Large Weight Coefficientsmentioning

confidence: 99%

Malyugin's Theorems: A New Concept in Logical Control, VLSI Design, and Data Structures for New Technologies

Shmerko

2004

Automation and Remote Control

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Large Systems of Boolean Functions: Realization by Modular Arithmetic Methods

Cited by 8 publications

References 6 publications

Secure Pseudo-Random Linear Binary Sequences Generators Based on Arithmetic Polynoms

Secure Pseudo-Random Linear Binary Sequences Generators Based on Arithmetic Polynoms

Synchronization Method and Detection of Sequent Signals in the Ultra Wide Band Channel

Malyugin's Theorems: A New Concept in Logical Control, VLSI Design, and Data Structures for New Technologies

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