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...
- Autores:
- Tipo de recurso:
- article
- Fecha de publicación:
- 2017
- Institución:
- Pontificia Universidad Javeriana
- Repositorio:
- 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
- Palabra clave:
- Rights
- openAccess
- License
- Copyright (c) 2017 Cecilia Esperanza Sandoval-Ruiz
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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 |
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Pontificia Universidad Javeriana |
reponame_str |
Repositorio Universidad Javeriana |
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Repositorio Universidad Javeriana |
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