河南科技大学毕业论文设计
摘 要
随着信息产业的迅速发展，人们对信息和信息技术的需要不断增加，信息安全也显得越来越重要。基于对网络传输数据安全性的考虑，保障网络信息安全的加密产品具有广泛的应用前景，密码技术则是保障信息安全的一个重要手段。密码学是信息安全技术的核心，现代密码体制分为公钥体制和私钥体制两大类:私钥体制又称单钥体制，其加密密钥和解密密钥相同;公钥体制又称为双钥体制，其加、解密密钥不同，可以公开加密密钥，而仅需保密解密密钥，从而具有数字签名、鉴别等新功能，被广泛应用于金融、商业等社会生活各领域。RSA是目前公认的在理论和实际应用中最为成熟和完善的一种公钥密码体制，不仅可以进行加密，还可以用来进行数字签名和身份验证，是公钥密码体制的代表。大数模幂乘运算是实现RSA等公钥密码的基本运算，该算法存在的问题是在实现时耗时太多，这也是制约其广泛应用的瓶颈。
本论文的第一章介绍了国内外密码学和RSA的有关动态以及本论文的意义，第二章介绍密码学的有关知识，第三章对RSA算法进行分析、介绍，第四章是RSA加密与解密的实现的代码和测试，第五章对本课题的结论。最后是致谢和参考文献。
关键词:密码学，RSA公钥密码体制，信息安全
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河南科技大学毕业论文设计
ABSTRACT
With the rapid development of IT technology, people depend on it increasingly, As a result, information security is getting more and more important. Meanwhile, Products that ensure network information show a great prospect due to the importance .Of transmitting data by network safely, and as an important means of information Security, cryptography must be lifted.Cryptography is the core of the information security. Modern cryptograph is, Divided into the public key system and the private key system. The private key system, Is also called the single key system, in which the encryption process is the same as the. Decryption process. The public key system is also called the double key system, Where the encryption process is different with the decryption process. Since the Public key system can publish its public key and keep its private key secret, it has, Many new applications such as the digital signature and authentication, which is. ideally used in every field of the society.Among the various public key cryptosystem, RSA algorithm is the best choice in, Both theory and application, and it is open used in digital signature and identificationSystem. Modular exponentiation and modular multiplication are the basic algorithms. For implementing the public key algorithms such as RSA, etc. However the, Time-consuming modulo exponentiation computation, which has always been the, Bottle-neck of RSA restricts its wider application.
The first chapter introduces the domestic and foreign progress of cryptograph; The RSA related tendency as well as the meaning of the research. The second chapter Explains cryptograph. The third chapter describes and analyzes the RSA algorithm. The
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河南科技大学毕业论文设计
fourth chapter discusses the improvement of the RSA algorithm including the big, Number restore and operation, and the improvement algorithm of the” Square multiply\algorithm. The fifth chapter reprints an improved algorithm and Comparisons.
KEY WORDS: cryptography, RSA, public key cryptosystem, information security
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河南科技大学毕业论文设计
目 录
摘 要 ............................................................. 2 ABSTRACT ........................................................... 3 第一章 引 言 ...................................................... 7 1.1 研究背景 ...................................................... 7 1.2 信息加密技术 .................................................. 7 1.3 密码技术研究现状 .............................................. 9 1.4 研究本课题的意义 ............................................. 10 第二章 密码学概论 .................................................. 12 2.1 密码学的基本概念 .............................................. 12 2.2 古典密码体制 ................................................. 15 2.3 对称密码体制 ................................................. 15 2.3.1 DES (Data Encryption Standard) ............................ 17 2.3.2 AES(Advanced Encryption Standard) ........................ 19 2.4 公钥密码体制 .................................................. 20 2.5密码分析技术 .................................................. 22 第三章 RSA公钥密码体制 ............................................ 25 3.1RSA的数学基础知识 ............................................. 25 3.1.1 因子的概念 ................................................ 25 3.1.2 素数与合数 ................................................ 26 3.1.3 公约数与最大公约数 ........................................ 27 3.1．4 互质数 ................................................... 28 3.2 RSA算法 ....................................................... 29 3.2.1 RSA体制描述 .............................................. 29 3.2.2 RSA工作原理 ............................................. 30 第四章 RAS的加密与解密技术的实现 ................................... 2 4.1 RSA加密与解密代码 .............................................. 2 4.2 测试的环境与工具 ............................................... 4
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