Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm

Descripción del Articulo

The imminent arrival of quantum computing has accelerated the need for cryptographic systems resistant to quantum attacks. Such attacks exploit the vulnerability in private and public key encryption systems, where the public key is derived from the private key, which could be refactored from the pub...

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Detalles Bibliográficos
Autores: Cisneros Laule, Mauricio Sebastian, Olazabal Silva, Javier Enrique, Nina Hanco, Hernan
Formato: artículo
Fecha de Publicación:2024
Institución:Universidad de Lima
Repositorio:Revistas - Universidad de Lima
Lenguaje:inglés
OAI Identifier:oai:revistas.ulima.edu.pe:article/7383
Enlace del recurso:https://revistas.ulima.edu.pe/index.php/Interfases/article/view/7383
Nivel de acceso:acceso abierto
Materia:post-quantum
lattice-based
quantum computing
Kyber
quantum cryptanalysis
poscuántico
basado en retículas
computación cuántica
criptoanálisis cuántico
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spelling Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber AlgorithmCriptografía basada en retículas: desarrollo y análisis de una nueva variante del algoritmo Crystals-KyberCisneros Laule, Mauricio SebastianOlazabal Silva, Javier EnriqueNina Hanco, Hernanpost-quantumlattice-basedquantum computingKyberquantum cryptanalysisposcuánticobasado en retículascomputación cuánticaKybercriptoanálisis cuánticoThe imminent arrival of quantum computing has accelerated the need for cryptographic systems resistant to quantum attacks. Such attacks exploit the vulnerability in private and public key encryption systems, where the public key is derived from the private key, which could be refactored from the public key. To address this issue, the National Institute of Standards and Technology (NIST) launched a global competition in 2016 to create quantum-resistant algorithms. CRYSTALS-Kyber, a lattice-based algorithm focused on the learning with errors (LWE) problem, was selected for standardization. This work introduces RKyber, a variant that instead targets the learning with rounding (LWR) problem, simplifying computations by using deterministic errors rather than random noise. Both algorithms were executed 1000 times, showing that RKyber offers improved speed at the cost of some security.La inminente llegada de la computación cuántica ha hecho necesario el desarrollo de sistemas criptográficos resistentes a los ataques cuánticos. Los ataques cuánticos explotan la debilidad de la encriptación de llave pública y privada, la cual radica en que la llave pública es derivada desde la llave privada y esta última podría ser factorizada a partir de la llave pública. En respuesta, el NIST inició un concurso mundial en 2016 para crear algoritmos resistentes a la computación cuántica. CRYSTALS-Kyber, un algoritmo basado en celosía que aborda el problema de Aprendizaje con Errores fue seleccionado para su estandarización. Este trabajo introduce una variante, RKyber, que en su lugar aborda el problema de Aprendizaje con Redondeo, simplificando los cálculos mediante el uso de errores deterministas en lugar de ruido aleatorio. Ambos algoritmos se ejecutaron 1000 veces, demostrando que RKyber es más rápido, aunque sacrifica algo de seguridad.Universidad de Lima2024-12-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://revistas.ulima.edu.pe/index.php/Interfases/article/view/738310.26439/interfases2024.n020.7383Interfases; No. 020 (2024); 165-184Interfases; Núm. 020 (2024); 165-184Interfases; n. 020 (2024); 165-1841993-491210.26439/interfases2024.n020reponame:Revistas - Universidad de Limainstname:Universidad de Limainstacron:ULIMAenghttps://revistas.ulima.edu.pe/index.php/Interfases/article/view/7383/7471https://revistas.ulima.edu.pe/index.php/Interfases/article/view/7383/7472https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:revistas.ulima.edu.pe:article/73832025-05-02T13:20:14Z
dc.title.none.fl_str_mv Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
Criptografía basada en retículas: desarrollo y análisis de una nueva variante del algoritmo Crystals-Kyber
title Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
spellingShingle Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
Cisneros Laule, Mauricio Sebastian
post-quantum
lattice-based
quantum computing
Kyber
quantum cryptanalysis
poscuántico
basado en retículas
computación cuántica
Kyber
criptoanálisis cuántico
title_short Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
title_full Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
title_fullStr Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
title_full_unstemmed Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
title_sort Lattice-Based Cryptography: Development and Analysis of a New Variant of the Crystals-Kyber Algorithm
dc.creator.none.fl_str_mv Cisneros Laule, Mauricio Sebastian
Olazabal Silva, Javier Enrique
Nina Hanco, Hernan
author Cisneros Laule, Mauricio Sebastian
author_facet Cisneros Laule, Mauricio Sebastian
Olazabal Silva, Javier Enrique
Nina Hanco, Hernan
author_role author
author2 Olazabal Silva, Javier Enrique
Nina Hanco, Hernan
author2_role author
author
dc.subject.none.fl_str_mv post-quantum
lattice-based
quantum computing
Kyber
quantum cryptanalysis
poscuántico
basado en retículas
computación cuántica
Kyber
criptoanálisis cuántico
topic post-quantum
lattice-based
quantum computing
Kyber
quantum cryptanalysis
poscuántico
basado en retículas
computación cuántica
Kyber
criptoanálisis cuántico
description The imminent arrival of quantum computing has accelerated the need for cryptographic systems resistant to quantum attacks. Such attacks exploit the vulnerability in private and public key encryption systems, where the public key is derived from the private key, which could be refactored from the public key. To address this issue, the National Institute of Standards and Technology (NIST) launched a global competition in 2016 to create quantum-resistant algorithms. CRYSTALS-Kyber, a lattice-based algorithm focused on the learning with errors (LWE) problem, was selected for standardization. This work introduces RKyber, a variant that instead targets the learning with rounding (LWR) problem, simplifying computations by using deterministic errors rather than random noise. Both algorithms were executed 1000 times, showing that RKyber offers improved speed at the cost of some security.
publishDate 2024
dc.date.none.fl_str_mv 2024-12-26
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.ulima.edu.pe/index.php/Interfases/article/view/7383
10.26439/interfases2024.n020.7383
url https://revistas.ulima.edu.pe/index.php/Interfases/article/view/7383
identifier_str_mv 10.26439/interfases2024.n020.7383
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.ulima.edu.pe/index.php/Interfases/article/view/7383/7471
https://revistas.ulima.edu.pe/index.php/Interfases/article/view/7383/7472
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad de Lima
publisher.none.fl_str_mv Universidad de Lima
dc.source.none.fl_str_mv Interfases; No. 020 (2024); 165-184
Interfases; Núm. 020 (2024); 165-184
Interfases; n. 020 (2024); 165-184
1993-4912
10.26439/interfases2024.n020
reponame:Revistas - Universidad de Lima
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instacron_str ULIMA
institution ULIMA
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