Performance evaluation of M-ary algorithm using reprogrammable hardware

Several ways to perform data encryption have been found, and one of the functions involved in standard algorithms such as RSA is the modular exponentiation. Basically, the RSA algorithm uses some properties of modular arithmetic to cipher and decipher plain text, with a certain performance dependenc...

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Autores:
Arenas-Hoyos, Sergio Andrés
Bernal-Noreña, Álvaro
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/60866
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/60866
http://bdigital.unal.edu.co/59248/
Palabra clave:
62 Ingeniería y operaciones afines / Engineering
cryptosystems
modular exponentiation
modular arithmetic
RSA algorithm
FPGA
M-ary algorithm
criptosistemas
exponencial modular
aritmética modular
algoritmo RSA
FPGA
Algoritmo M-ario
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/60866
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Arenas-Hoyos, Sergio Andrésaaafb1d9-fe8e-4a43-9b7e-e78c24a7a701300Bernal-Noreña, Álvaro3fdb8b2e-d68f-4a86-afeb-6a0a4bc7e4213002019-07-02T19:18:49Z2019-07-02T19:18:49Z2017-10-01ISSN: 2346-2183https://repositorio.unal.edu.co/handle/unal/60866http://bdigital.unal.edu.co/59248/Several ways to perform data encryption have been found, and one of the functions involved in standard algorithms such as RSA is the modular exponentiation. Basically, the RSA algorithm uses some properties of modular arithmetic to cipher and decipher plain text, with a certain performance dependence on text lengths. The growth in computing capacity has created the need to use robust systems that can perform calculations with significantly large numbers and the formulation of procedures focused on improving the speed to achieve it. One of these is the M-ary algorithm for the execution of the modular exponential function. This paper describes an implementation of this algorithm in reprogrammable hardware (FPGA) to evaluate its performance.The first section of this work introduces the M-ary algorithm. The second section uses block description for implementation understanding. The third section shows the results in time diagrams, and finally, the last section conclusions.Se han encontrado diversas formas de realizar cifrado de datos, y una de las funciones involucradas en algoritmos estándar como el RSA es la exponencial modular. Básicamente, el algoritmo RSA utiliza algunas propiedades de la aritmética modular para cifrar y descifrar textos planos, con cierta dependencia en la longitud del texto. El crecimiento en la capacidad de cómputo ha creado la necesidad de utilizar sistemas robustos que puedan realizar cálculos con números significativamente grandes, y la formulación de procedimientos enfocados en mejorar la velocidad para lograrlo. Uno de éstos es el algoritmo M-ary para la ejecución de la función exponencial modular. Este artículo describe una implementación de este algoritmo en hardware reprogramable (FPGA) para evaluar su desempeño.La primera sección introduce el algoritmo M-ary. La segunda, usa descripción en bloques para comprender la implementación. La tercera, muestra los resultados en diagramas de tiempo, y finalmente, la última sección expone conclusiones.application/pdfspaUniversidad Nacional de Colombia (Sede Medellín). Facultad de Minas.https://revistas.unal.edu.co/index.php/dyna/article/view/65480Universidad Nacional de Colombia Revistas electrónicas UN DynaDynaArenas-Hoyos, Sergio Andrés and Bernal-Noreña, Álvaro (2017) Performance evaluation of M-ary algorithm using reprogrammable hardware. DYNA, 84 (203). pp. 75-79. ISSN 2346-218362 Ingeniería y operaciones afines / Engineeringcryptosystemsmodular exponentiationmodular arithmeticRSA algorithmFPGAM-ary algorithmcriptosistemasexponencial modulararitmética modularalgoritmo RSAFPGAAlgoritmo M-arioPerformance evaluation of M-ary algorithm using reprogrammable hardwareArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL65480-356396-2-PB.pdfapplication/pdf563681https://repositorio.unal.edu.co/bitstream/unal/60866/1/65480-356396-2-PB.pdf7e8742c90063f5cdf166b97f9fb61be7MD51THUMBNAIL65480-356396-2-PB.pdf.jpg65480-356396-2-PB.pdf.jpgGenerated Thumbnailimage/jpeg9607https://repositorio.unal.edu.co/bitstream/unal/60866/2/65480-356396-2-PB.pdf.jpgef1422fe9f1bcca7b4328f48e5033692MD52unal/60866oai:repositorio.unal.edu.co:unal/608662023-04-09 23:05:08.116Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Performance evaluation of M-ary algorithm using reprogrammable hardware
title Performance evaluation of M-ary algorithm using reprogrammable hardware
spellingShingle Performance evaluation of M-ary algorithm using reprogrammable hardware
62 Ingeniería y operaciones afines / Engineering
cryptosystems
modular exponentiation
modular arithmetic
RSA algorithm
FPGA
M-ary algorithm
criptosistemas
exponencial modular
aritmética modular
algoritmo RSA
FPGA
Algoritmo M-ario
title_short Performance evaluation of M-ary algorithm using reprogrammable hardware
title_full Performance evaluation of M-ary algorithm using reprogrammable hardware
title_fullStr Performance evaluation of M-ary algorithm using reprogrammable hardware
title_full_unstemmed Performance evaluation of M-ary algorithm using reprogrammable hardware
title_sort Performance evaluation of M-ary algorithm using reprogrammable hardware
dc.creator.fl_str_mv Arenas-Hoyos, Sergio Andrés
Bernal-Noreña, Álvaro
dc.contributor.author.spa.fl_str_mv Arenas-Hoyos, Sergio Andrés
Bernal-Noreña, Álvaro
dc.subject.ddc.spa.fl_str_mv 62 Ingeniería y operaciones afines / Engineering
topic 62 Ingeniería y operaciones afines / Engineering
cryptosystems
modular exponentiation
modular arithmetic
RSA algorithm
FPGA
M-ary algorithm
criptosistemas
exponencial modular
aritmética modular
algoritmo RSA
FPGA
Algoritmo M-ario
dc.subject.proposal.spa.fl_str_mv cryptosystems
modular exponentiation
modular arithmetic
RSA algorithm
FPGA
M-ary algorithm
criptosistemas
exponencial modular
aritmética modular
algoritmo RSA
FPGA
Algoritmo M-ario
description Several ways to perform data encryption have been found, and one of the functions involved in standard algorithms such as RSA is the modular exponentiation. Basically, the RSA algorithm uses some properties of modular arithmetic to cipher and decipher plain text, with a certain performance dependence on text lengths. The growth in computing capacity has created the need to use robust systems that can perform calculations with significantly large numbers and the formulation of procedures focused on improving the speed to achieve it. One of these is the M-ary algorithm for the execution of the modular exponential function. This paper describes an implementation of this algorithm in reprogrammable hardware (FPGA) to evaluate its performance.The first section of this work introduces the M-ary algorithm. The second section uses block description for implementation understanding. The third section shows the results in time diagrams, and finally, the last section conclusions.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-10-01
dc.date.accessioned.spa.fl_str_mv 2019-07-02T19:18:49Z
dc.date.available.spa.fl_str_mv 2019-07-02T19:18:49Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2346-2183
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/60866
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/59248/
identifier_str_mv ISSN: 2346-2183
url https://repositorio.unal.edu.co/handle/unal/60866
http://bdigital.unal.edu.co/59248/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/dyna/article/view/65480
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Dyna
Dyna
dc.relation.references.spa.fl_str_mv Arenas-Hoyos, Sergio Andrés and Bernal-Noreña, Álvaro (2017) Performance evaluation of M-ary algorithm using reprogrammable hardware. DYNA, 84 (203). pp. 75-79. ISSN 2346-2183
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia (Sede Medellín). Facultad de Minas.
institution Universidad Nacional de Colombia
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