Characterizing lattices for cryptography
In this document, we aim to introduce a proposal of poster presentation at the XXVII Unicamp’s Scientific Initiation Congress that will deal with the work that has been done on the characterization of lattices for cryptographic purposes. A lattice is a discrete additive subgroup of the n-dimensional...
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| Format: | Online |
| Language: | Portuguese |
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Universidade Estadual de Campinas
2019
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/2087 |
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| author | Silva, Tomas Rodrigues e Dahab, Ricardo |
| author_facet | Silva, Tomas Rodrigues e Dahab, Ricardo |
| author_sort | Silva, Tomas Rodrigues e |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 27 (2019): Congresso de Iniciação Científica UNICAMP; 1-1 |
| description | In this document, we aim to introduce a proposal of poster presentation at the XXVII Unicamp’s Scientific Initiation Congress that will deal with the work that has been done on the characterization of lattices for cryptographic purposes. A lattice is a discrete additive subgroup of the n-dimensional real space that has a periodic structure. In other words, a lattice is a set constructed by all the integer combinations of linearly independent vectors defined on the n-dimensional real space.The usage of lattices for construct cryptographic models begins with the breakthrough work of Ajtai in 1996 ¹. Since then, cryptography based on lattices is being developed more and more, aiming to face the growing advance of computing power. In addition, some cryptographic models built on problems of non-polynomial difficulty on lattices are being considered as security solutions for building cryptoschemes that could face attacks from a sufficiently powerful quantum computer that may appear on the coming years. With this in perspective in view, it is interesting to characterize lattice structures and its parameters to create secure and efficient cryptoschemes. |
| first_indexed | 2025-10-08T13:56:19Z |
| format | Online |
| id | ojs-article-2087 |
| institution | Universidade Estadual de Campinas |
| issn | 2596-1969 |
| language | por |
| last_indexed | 2025-10-08T13:56:19Z |
| publishDate | 2019 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-20872025-09-26T14:39:16Z Characterizing lattices for cryptography Silva, Tomas Rodrigues e Dahab, Ricardo Cryptography Lattices Parameter selection In this document, we aim to introduce a proposal of poster presentation at the XXVII Unicamp’s Scientific Initiation Congress that will deal with the work that has been done on the characterization of lattices for cryptographic purposes. A lattice is a discrete additive subgroup of the n-dimensional real space that has a periodic structure. In other words, a lattice is a set constructed by all the integer combinations of linearly independent vectors defined on the n-dimensional real space.The usage of lattices for construct cryptographic models begins with the breakthrough work of Ajtai in 1996 ¹. Since then, cryptography based on lattices is being developed more and more, aiming to face the growing advance of computing power. In addition, some cryptographic models built on problems of non-polynomial difficulty on lattices are being considered as security solutions for building cryptoschemes that could face attacks from a sufficiently powerful quantum computer that may appear on the coming years. With this in perspective in view, it is interesting to characterize lattice structures and its parameters to create secure and efficient cryptoschemes. Universidade Estadual de Campinas 2019-12-20 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artigo de convidado application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/2087 10.20396/revpibic2720192087 Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 27 (2019): Congresso de Iniciação Científica UNICAMP; 1-1 2596-1969 por https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/2087/2144 Copyright (c) 2019 Revista dos Trabalhos de Iniciação Científica da UNICAMP http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Silva, Tomas Rodrigues e Dahab, Ricardo Cryptography Lattices Parameter selection Characterizing lattices for cryptography |
| title | Characterizing lattices for cryptography |
| title_full | Characterizing lattices for cryptography |
| title_fullStr | Characterizing lattices for cryptography |
| title_full_unstemmed | Characterizing lattices for cryptography |
| title_short | Characterizing lattices for cryptography |
| title_sort | characterizing lattices for cryptography |
| topic | Cryptography Lattices Parameter selection |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/2087 |
| work_keys_str_mv | AT silvatomasrodriguese characterizinglatticesforcryptography AT dahabricardo characterizinglatticesforcryptography |
