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.

本文介绍了密码学，从其最早的根源到今天用于安全在线通信的密码系统。从经典密码及其密码分析开始，本书继续关注现代公钥密码系统，如Diffie-Hellman、ElGamal、RSA和椭圆曲线密码，并分析这些系统的漏洞和潜在的数学问题，如因子分解算法。本书的最后一节涵盖了零知识证明、密码投票、编码理论和新研究等专门主题。