VHDL Optimized Model of a Multiplier in Finite Fields

In this research, an analysis of the behavior of the multiplier in finite fields GF is performed, considering the generalized architecture of LFSR component (records displacements linear feedback), this for the purpose of generating a VHDL description optimized, applying concepts of structural analy...

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article
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2017
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Pontificia Universidad Javeriana
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Repositorio Universidad Javeriana
Idioma:
eng
OAI Identifier:
oai:repository.javeriana.edu.co:10554/25630
Acceso en línea:
http://revistas.javeriana.edu.co/index.php/iyu/article/view/195
http://hdl.handle.net/10554/25630
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Copyright (c) 2017 Cecilia Esperanza Sandoval-Ruiz
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repository_id_str
spelling VHDL Optimized Model of a Multiplier in Finite FieldsVHDL Optimized Model of a Multiplier in Finite FieldsSandoval-Ruiz, Cecilia EsperanzaIn this research, an analysis of the behavior of the multiplier in finite fields GF is performed, considering the generalized architecture of LFSR component (records displacements linear feedback), this for the purpose of generating a VHDL description optimized, applying concepts of structural analysis, description parameterized components, mathematisation, this in order to obtain the generalized representation model. Thus achieving the concurrent sequential circuit description nature. tabulating the terms was performed according to the time variable and position in the circuit, components of a sequence generator based on a linear feedback function, so that the circuit was patterned in generic expression operator "concatenation" available in VHDL for hardware configuration, model consumption of hardware resources are estimated at the level of logical operators, so that the proposed method shows their contributions in terms of optimizing the efficient modeling of advanced logic systems, which can be extrapolated to more complex components. Leading to the conclusion that the model developed simplifies the description of parallel circuits, high efficiency from a mathematical modeling approach to hardware description.Introduction: This article presents a finite field multiplier (GF) model, studying the generalized architecture of the LFSR component (linear regression displacement records), in order to generate a concurrent description. Concepts of structural analysis, description of parameterized components, and mathematical treatment of signals have been applied. Method: The design was performed by the tabulation of the terms in the variable time function and the position in the circuit, the components of the modular reduction, thus creating an array of combined operations. This model was described in VHDL, for testing behavior and optimization of hardware. Results: The research established the equations for the implementation of the VHDL model in its generic expression with operator concatenation for the hardware configuration. It is estimated that the hardware resources, a level of logical operators, obtained a 7.89% savings in the energy consumption associated with the signal in the multiplier design by the proposed optimization technique. Conclusions: The model simplified the description of parallel circuits, high performance from a mathematical model approach to hardware description. The proposed method contributes to the field of optimization in the efficient modeling of advanced logic systems, which can be extrapolated to more complex components.Pontificia Universidad Javeriana2020-04-16T17:28:16Z2020-04-16T17:28:16Z2017-06-12http://purl.org/coar/version/c_970fb48d4fbd8a85Artículo de revistahttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articlePeer-reviewed Articleinfo:eu-repo/semantics/publishedVersionPDFapplication/pdfhttp://revistas.javeriana.edu.co/index.php/iyu/article/view/19510.11144/Javeriana.iyu21-2.vhdl2011-27690123-2126http://hdl.handle.net/10554/25630enghttp://revistas.javeriana.edu.co/index.php/iyu/article/view/195/15009Ingenieria y Universidad; Vol 21 No 2 (2017): July-December; 212Ingenieria y Universidad; Vol. 21 Núm. 2 (2017): Julio-Dicciembre; 212Copyright (c) 2017 Cecilia Esperanza Sandoval-RuizAtribución-NoComercial-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2reponame:Repositorio Universidad Javerianainstname:Pontificia Universidad Javerianainstacron:Pontificia Universidad Javeriana2023-03-29T17:44:16Z
dc.title.none.fl_str_mv VHDL Optimized Model of a Multiplier in Finite Fields
VHDL Optimized Model of a Multiplier in Finite Fields
title VHDL Optimized Model of a Multiplier in Finite Fields
spellingShingle VHDL Optimized Model of a Multiplier in Finite Fields
Sandoval-Ruiz, Cecilia Esperanza
title_short VHDL Optimized Model of a Multiplier in Finite Fields
title_full VHDL Optimized Model of a Multiplier in Finite Fields
title_fullStr VHDL Optimized Model of a Multiplier in Finite Fields
title_full_unstemmed VHDL Optimized Model of a Multiplier in Finite Fields
title_sort VHDL Optimized Model of a Multiplier in Finite Fields
dc.creator.none.fl_str_mv Sandoval-Ruiz, Cecilia Esperanza
author Sandoval-Ruiz, Cecilia Esperanza
author_facet Sandoval-Ruiz, Cecilia Esperanza
author_role author
description In this research, an analysis of the behavior of the multiplier in finite fields GF is performed, considering the generalized architecture of LFSR component (records displacements linear feedback), this for the purpose of generating a VHDL description optimized, applying concepts of structural analysis, description parameterized components, mathematisation, this in order to obtain the generalized representation model. Thus achieving the concurrent sequential circuit description nature. tabulating the terms was performed according to the time variable and position in the circuit, components of a sequence generator based on a linear feedback function, so that the circuit was patterned in generic expression operator "concatenation" available in VHDL for hardware configuration, model consumption of hardware resources are estimated at the level of logical operators, so that the proposed method shows their contributions in terms of optimizing the efficient modeling of advanced logic systems, which can be extrapolated to more complex components. Leading to the conclusion that the model developed simplifies the description of parallel circuits, high efficiency from a mathematical modeling approach to hardware description.
publishDate 2017
dc.date.none.fl_str_mv 2017-06-12
2020-04-16T17:28:16Z
2020-04-16T17:28:16Z
dc.type.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
Artículo de revista
http://purl.org/coar/resource_type/c_6501
info:eu-repo/semantics/article
Peer-reviewed Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://revistas.javeriana.edu.co/index.php/iyu/article/view/195
10.11144/Javeriana.iyu21-2.vhdl
2011-2769
0123-2126
http://hdl.handle.net/10554/25630
url http://revistas.javeriana.edu.co/index.php/iyu/article/view/195
http://hdl.handle.net/10554/25630
identifier_str_mv 10.11144/Javeriana.iyu21-2.vhdl
2011-2769
0123-2126
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://revistas.javeriana.edu.co/index.php/iyu/article/view/195/15009
Ingenieria y Universidad; Vol 21 No 2 (2017): July-December; 212
Ingenieria y Universidad; Vol. 21 Núm. 2 (2017): Julio-Dicciembre; 212
dc.rights.none.fl_str_mv Copyright (c) 2017 Cecilia Esperanza Sandoval-Ruiz
Atribución-NoComercial-SinDerivadas 4.0 Internacional
http://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Copyright (c) 2017 Cecilia Esperanza Sandoval-Ruiz
Atribución-NoComercial-SinDerivadas 4.0 Internacional
http://creativecommons.org/licenses/by/4.0
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv PDF
application/pdf
dc.publisher.none.fl_str_mv Pontificia Universidad Javeriana
publisher.none.fl_str_mv Pontificia Universidad Javeriana
dc.source.none.fl_str_mv reponame:Repositorio Universidad Javeriana
instname:Pontificia Universidad Javeriana
instacron:Pontificia Universidad Javeriana
instname_str Pontificia Universidad Javeriana
instacron_str Pontificia Universidad Javeriana
institution Pontificia Universidad Javeriana
reponame_str Repositorio Universidad Javeriana
collection Repositorio Universidad Javeriana
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