Criptografia
Autor(a) principal: | |
---|---|
Data de Publicação: | 2015 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
dARK ID: | ark:/38995/0013000001kpz |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/4801 |
Resumo: | This paper makes a brief reading on the crisis experienced by the mathematics education in Brazilian public schools in recent years, analyzing some of the reasons and motives of this crisis and trying to point out ways that this teaching will become better, more e cient and above all presenting mathematics as a fundamental importance for today's world science, pointing their applicability in everyday situations that may arouse the interest of students and present themselves as challenges to their ability to think and learn. In order to show the applicability and the importance of mathematics shows the encryption, if elected as a basis for analysis the cryptographic method RSA, one of the most widespread throughout the world, to present it as a tool that uses mathematical algorithms to encoding and/or decoding of data, enabling the protection and con dentiality of sensitive information transmitted via satellite in commercial and banking transactions. The paper presents the general importance of cryptography in the context of a globalized and technological world of today, as well as within the story, noting even its decisive contribution to the Allied victory against the Germans in the 2nd World War. It presents also the mathematical basis for encryption, prior knowledge of mathematics that are used to encrypt messages and or data, and presents examples of encoding and decoding simple messages. Finally, a general approach on the encryption is done, since its concept and common de nitions, pointing secured requirements for its use and the main types of algorithms for encryption and decryption codes, also called cryptographic keys. |
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Dias, Ivonildes Ribeiro Martinshttp://lattes.cnpq.br/8664599889120339Dias, Ivonildes Ribeiro MartinsSilva, Sílvia Cristina Belo eLima, Thaynara Arielly dehttp://lattes.cnpq.br/4862470300681993Mata, Tulio Fernando da2015-10-28T13:12:01Z2015-08-06MATA, T. F. Criptografia. 2015. 61 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2015.http://repositorio.bc.ufg.br/tede/handle/tede/4801ark:/38995/0013000001kpzThis paper makes a brief reading on the crisis experienced by the mathematics education in Brazilian public schools in recent years, analyzing some of the reasons and motives of this crisis and trying to point out ways that this teaching will become better, more e cient and above all presenting mathematics as a fundamental importance for today's world science, pointing their applicability in everyday situations that may arouse the interest of students and present themselves as challenges to their ability to think and learn. In order to show the applicability and the importance of mathematics shows the encryption, if elected as a basis for analysis the cryptographic method RSA, one of the most widespread throughout the world, to present it as a tool that uses mathematical algorithms to encoding and/or decoding of data, enabling the protection and con dentiality of sensitive information transmitted via satellite in commercial and banking transactions. The paper presents the general importance of cryptography in the context of a globalized and technological world of today, as well as within the story, noting even its decisive contribution to the Allied victory against the Germans in the 2nd World War. It presents also the mathematical basis for encryption, prior knowledge of mathematics that are used to encrypt messages and or data, and presents examples of encoding and decoding simple messages. Finally, a general approach on the encryption is done, since its concept and common de nitions, pointing secured requirements for its use and the main types of algorithms for encryption and decryption codes, also called cryptographic keys.O presente trabalho faz uma breve leitura sobre a situação de crise vivida pelo ensino de matemática na escola pública brasileira nos últimos anos, analisando algumas das razões e motivos dessa crise e tentando apontar caminhos para que esse ensino se torne melhor e mais e ciente e acima de tudo apresentando a matemática como uma ciência de fundamental importância para o mundo atual, apontando sua aplicabilidade em situações cotidianas que podem despertar o interesse dos alunos e se apresentam como desa os para suas capacidades de raciocinar e de aprender. Na perspectiva de mostrar a aplicabilidade e a importância da matemática apresenta-se a criptogra a, elegendo-se como base de análise o método criptográ co RSA, um dos mais difundidos em todo o mundo, para apresentá-lo como uma ferramenta que usa algoritmos matemá- ticos para a codi cação e/ou decodi cação de dados, permitindo a proteção e o sigilo de informações con denciais transmitidas via satélite em transações comerciais e banc árias. O trabalho apresenta a importância geral da criptogra a no contexto do mundo globalizado e tecnológico da atualidade, assim como dentro da história, ressaltando, inclusive, sua contribuição decisiva para a vitória dos Aliados contra os alemães na 2.a Guerra Mundial. Apresenta-se ainda a base matemática necessária para criptogra- a, ou seja, os conhecimentos prévios de matemática que são usados para criptografar mensagens e dados, bem como se apresenta exemplos de codi cação e decodi cação de mensagens simples. Por m, faz-se uma abordagem geral sobre a criptogra a, desde seu conceito e de nições mais comuns, apontando os requisitos garantidos pelo seu uso e os principais tipos de algoritmos para cifragem e decifragem de códigos, também chamadas de chaves criptográ cas.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2015-10-28T13:09:56Z No. of bitstreams: 2 Dissertação - Tulio Fernando da Mata - 2015.pdf: 1121756 bytes, checksum: 845f7de938a5d68c11d5b1bcd6fdf5ca (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-10-28T13:12:01Z (GMT) No. of bitstreams: 2 Dissertação - Tulio Fernando da Mata - 2015.pdf: 1121756 bytes, checksum: 845f7de938a5d68c11d5b1bcd6fdf5ca (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2015-10-28T13:12:01Z (GMT). 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dc.title.por.fl_str_mv |
Criptografia |
dc.title.alternative.eng.fl_str_mv |
Cryptographic |
title |
Criptografia |
spellingShingle |
Criptografia Mata, Tulio Fernando da Criptografia Matemática Sigilo Codificação Decodificação Cryptography Mathematics Confidentiality Coding Decoding CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Criptografia |
title_full |
Criptografia |
title_fullStr |
Criptografia |
title_full_unstemmed |
Criptografia |
title_sort |
Criptografia |
author |
Mata, Tulio Fernando da |
author_facet |
Mata, Tulio Fernando da |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Dias, Ivonildes Ribeiro Martins |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/8664599889120339 |
dc.contributor.referee1.fl_str_mv |
Dias, Ivonildes Ribeiro Martins |
dc.contributor.referee2.fl_str_mv |
Silva, Sílvia Cristina Belo e |
dc.contributor.referee3.fl_str_mv |
Lima, Thaynara Arielly de |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/4862470300681993 |
dc.contributor.author.fl_str_mv |
Mata, Tulio Fernando da |
contributor_str_mv |
Dias, Ivonildes Ribeiro Martins Dias, Ivonildes Ribeiro Martins Silva, Sílvia Cristina Belo e Lima, Thaynara Arielly de |
dc.subject.por.fl_str_mv |
Criptografia Matemática Sigilo Codificação Decodificação |
topic |
Criptografia Matemática Sigilo Codificação Decodificação Cryptography Mathematics Confidentiality Coding Decoding CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Cryptography Mathematics Confidentiality Coding Decoding |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This paper makes a brief reading on the crisis experienced by the mathematics education in Brazilian public schools in recent years, analyzing some of the reasons and motives of this crisis and trying to point out ways that this teaching will become better, more e cient and above all presenting mathematics as a fundamental importance for today's world science, pointing their applicability in everyday situations that may arouse the interest of students and present themselves as challenges to their ability to think and learn. In order to show the applicability and the importance of mathematics shows the encryption, if elected as a basis for analysis the cryptographic method RSA, one of the most widespread throughout the world, to present it as a tool that uses mathematical algorithms to encoding and/or decoding of data, enabling the protection and con dentiality of sensitive information transmitted via satellite in commercial and banking transactions. The paper presents the general importance of cryptography in the context of a globalized and technological world of today, as well as within the story, noting even its decisive contribution to the Allied victory against the Germans in the 2nd World War. It presents also the mathematical basis for encryption, prior knowledge of mathematics that are used to encrypt messages and or data, and presents examples of encoding and decoding simple messages. Finally, a general approach on the encryption is done, since its concept and common de nitions, pointing secured requirements for its use and the main types of algorithms for encryption and decryption codes, also called cryptographic keys. |
publishDate |
2015 |
dc.date.accessioned.fl_str_mv |
2015-10-28T13:12:01Z |
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2015-08-06 |
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info:eu-repo/semantics/publishedVersion |
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MATA, T. F. Criptografia. 2015. 61 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2015. |
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http://repositorio.bc.ufg.br/tede/handle/tede/4801 |
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MATA, T. F. Criptografia. 2015. 61 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2015. ark:/38995/0013000001kpz |
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http://repositorio.bc.ufg.br/tede/handle/tede/4801 |
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Instituto de Matemática e Estatística - IME (RG) |
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Universidade Federal de Goiás |
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