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Goldreich O. Foundations of Cryptography. Vol 1. Basic Tools 2004 Fix torrent |
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| Torrent added: | 2023-02-17 17:29:01 |
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Torrent Description
Textbook in PDF format
Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs. Rather than describing ad-hoc approaches, this book emphasizes the clarification of fundamental concepts and the demonstration of the feasibility of solving cryptographic problems. It is suitable for use in a graduate course on cryptography and as a reference book for experts. Main Topics covered by the work Background on Probability and Computation Motivation to the Rigorous Treatment Computational Difficulty (One-Way Functions) Motivation and Definitions One-Way functions: Weak implies Strong Variants and advanced material Hard-Core Predicates Pseudorandom Generators Motivation and Definitions Constructions based on One-Way Permutations Pseudorandom Functions Advanced material Zero-Knowledge Proofs Motivation and Definitions Zero-Knowledge Proofs for NP Advanced material Appendixs Brief Background on Computational Number Theory Brief Outline of Volume 2 Bibliography and Index
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