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Avtomat. i Telemekh., 2004, Issue 6, Pages 37–60 (Mi at1588)  

This article is cited in 4 scientific papers (total in 4 papers)

Arithmetic Logic

Large systems of boolean functions: realization by modular arithmetic methods

O. Finko

Kuban State Tekhnological University

Abstract: Modular polynomial and spectral arithmetic-logical forms are introduced for representing Boolean functions so as to determine certain useful properties associated with the restricted number range (solution of the problem of large coefficients of arithmetical polynomials) in parallel logical computations.

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English version:
Automation and Remote Control, 2004, 65:6, 871–892

Bibliographic databases:

Document Type: Article
Presented by the member of Editorial Board: P. P. Parkhomenko

Received: 17.12.2003

Citation: O. Finko, “Large systems of boolean functions: realization by modular arithmetic methods”, Avtomat. i Telemekh., 2004, no. 6, 37–60; Autom. Remote Control, 65:6 (2004), 871–892

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. P. Shmerko, “Malyugin's theorems: a new concept in logical control, VLSI design, and data structures for new technologies”, Autom. Remote Control, 65:6 (2004), 893–912  mathnet  crossref  mathscinet  zmath  isi
    2. O. Finko, “Modular forms of systems of $k$-valued functions of the algebra of logic”, Autom. Remote Control, 66:7 (2005), 1081–1100  mathnet  crossref  mathscinet  zmath
    3. A. B. Lapshin, “Classification of Boolean functions by the invariants of their matrix representation”, Autom. Remote Control, 67:7 (2006), 1100–1107  mathnet  crossref  mathscinet  zmath
    4. Dichenko S.A., Finko O.A., “Algoritm generatsii blochnoi psp, osnovannyi na primenenii logiko-chislovykh form”, Izvestiya yuzhnogo federalnogo universiteta. tekhnicheskie nauki, 137:12 (2012), 158–167  elib
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