Algorithmic Cryptanalysis

A bird's-eye view of modern cryptography. Preliminaries and Defining security in cryptography. Elementary number theory and algebra background. Approximations using partial Greatest common divisors computations. Birthday-based algorithms for functions.

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  • Block cipher modes of operation and data transformation for asymmetrical algorithms. Standardisation in cryptography. Trust models in public key cryptography. Cryptographic standards for the World Wide Web. People who play a role in cryptography.

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  • The book is organized into three parts. The first part covers private-key cryptography. Chapters 4-9 concern the main topics in public-key cryptography. The remaining four chapters provide introductions to four active research areas in cryptography.

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  • Some of the more popular techniques in cryptography. The advantages and disadvantages of public-key cryptography compared with secret-key cryptography. Digital signature applications exportable from the United States. Proactive security techniques.

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  • The principle of quantum cryptography. Quantum no-cloning theorem. State detection and random number generator. Verify assumptions used in a security proof. Quantum hacking and countermeasures from this. Introduction of cryptography for engineers.

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  • From the Riddles of Ancient Egypt to Cryptography in the Renaissance — 3500 Years in the Making. Three Post-Renaissance Centuries. Symmetric-Key and Public-Key Cryptography. Electronic Mail and Internet Security. Noncryptographic Security Issues.

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  • The origins of cryptography. Transpositions, substitutions and secret keys. The Shannon theory of secrecy. The data encryption standard. Application of des: Unix passwords. Conventional cryptographic primitives and the advanced encryption standard.

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  • Characterization of the foundations of modern cryptography for practitioners. Description of codes for error detection. Definition of advance in coding theory and cryptography. The main advances in algebraic geometry codes and coding in cryptology.

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  • Cryptography in the Information Age. Information Protection Problems in Computer Systems. The Fundamentals of One-Key Cryptography. Substituion—Permutation Networks with Minimal Controlled Elements. Designing Fast Ciphers Based on Controlled Operations.

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  • Computational and Mathematical Preliminaries: computability, complexity, intractability. Efficient Number-Theoretic Algorithms and Intractable Problems. Public-Key Cryptography and Type Crytposystems. Integer Factorization and Discrete Logarithm Attacks.

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  • Outline of conference proceedings in the field of development of cryptography. The use of Boolean functions in the shift registers with feedback relationship used to encrypt information. Options graphs encoding and selection of programmable design.

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  • Criteria for desirable cryptographic systems and protocols. Security properties for authenticated key establishment. Standard notation of mathematical foundations. Classical ciphers: usefulness and security. The optimal asymmetric encryption padding.

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