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rubinstein salzedo s cryptography 2018

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Textbook in PDF format 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. A Quick Overview Cæsar Ciphers Substitution Ciphers A First Look at Number Theory The Vigenère Cipher The Hill Cipher Other Types of Ciphers Big O Notation and Algorithm Efficiency Abstract Algebra A Second Look at Number Theory The Diffie–Hellman Key Exchange and the Discrete Logarithm Problem The RSA Cryptosystem Clever Factorization Algorithms and Primality Testing Elliptic Curves The Versatility of Elliptic Curves Zero-Knowledge Proofs Secret Sharing, Visual Cryptography, and Voting Quantum Computing and Quantum Cryptography Markov Chain Some Coding Theory

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Rubinstein-Salzedo S. Cryptography 2018.pdf 3.3 MB

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rubinstein salzedo s cryptography 2018

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