Cryptography 2018

English | PDF,EPUB | 2018 | 259 Pages | ISBN : 3319948172 | 12.31 MB

This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication. Beginning with classical ciphers and their cryptanalysis, this book proceeds to focus on modern public key cryptosystems such as Diffie-Hellman, ElGamal, RSA, and elliptic curve cryptography with an analysis of vulnerabilities of these systems and underlying mathematical issues such as factorization algorithms. Specialized topics such as zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in the final section of this book. Aimed at undergraduate students, this book contains a large selection of problems, ranging from straightforward to difficult, and can be used as a textbook for classes as well as self-study. Requiring only a solid grounding in basic mathematics, this book will also appeal to advanced high school students and amateur mathematicians interested in this fascinating and topical subject.

这篇文章介绍了密码学从其最早的起源到今天用于安全在线通信的加密系统。文章从古典密码及其破解分析开始，接着重点讨论现代公钥加密系统，如Diffie-Hellman、ElGamal、RSA和椭圆曲线密码学，并对这些系统的漏洞以及背后的数学问题（例如因式分解算法）进行了分析。本书的最后一部分涵盖了诸如零知识证明、密码投票、编码理论和新研究等专门话题。这本书旨在面向本科学生，包含了大量的习题，难度从简单到困难不等，既可以作为教材也可以用于自学。只需要具备基本的数学背景，这本书也将吸引高级高中学生和对这个有趣而热门主题感兴趣的业余数学爱好者。

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