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Avtomat. i Telemekh., 2004, Issue 6, Pages 61–83 (Mi at1589)  

This article is cited in 5 scientific papers (total in 5 papers)

Arithmetic Logic

Malyugin's theorems: a new concept in logical control, VLSI design, and data structures for new technologies

V. P. Shmerkoab

a University of Szczecin
b University of Calgary

Abstract: Theoretical results due to V. Malyugin on linearization of arithmetical models of logical functions are interpreted and refined from the viewpoint of modern techniques of logical design of integral circuits and nearest neighbor technologies.

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English version:
Automation and Remote Control, 2004, 65:6, 893–912

Bibliographic databases:

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

Received: 16.12.2003

Citation: V. P. Shmerko, “Malyugin's theorems: a new concept in logical control, VLSI design, and data structures for new technologies”, Avtomat. i Telemekh., 2004, no. 6, 61–83; Autom. Remote Control, 65:6 (2004), 893–912

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. P. Dziurzanskii, V. P. Shmerko, S. N. Yanushkevich, “Representation of logical circuits by linear decision diagrams with extension to nanostructures”, Autom. Remote Control, 65:6 (2004), 920–937  mathnet  crossref  mathscinet  zmath  isi
    2. A. Kolpakov, R. Kh. Latypov, “Approximate algorithms for minimization of binary decision diagrams on the basis of linear transformations of variables”, Autom. Remote Control, 65:6 (2004), 938–954  mathnet  crossref  mathscinet  zmath  isi
    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. Lozano C.C. Falkowski J., “Fastest Linearly Independent Arithmetic Transforms and their Calculation on Systolic Array Processors”, IET Circ. Devices Syst., 1:2 (2007), 181–192  crossref  mathscinet  isi  scopus
    5. Sizonenko A.B., “Sposob povysheniya proizvoditelnosti programmnoi realizatsii lineinykh blochnykh kodov”, Sbornik nauchnykh trudov sworld po materialam mezhdunarodnoi nauchno-prakticheskoi konferentsii, 8:1 (2013), 20–24  elib
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