Criptografia

Detalhes bibliográficos
Autor(a) principal: Mata, Tulio Fernando da
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
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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spelling 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:/38995/0013000001wwzThis 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
dc.date.issued.fl_str_mv 2015-08-06
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