An Introduction to Mathematical Cryptography

An Introduction to Cryptography: Simple substitution ciphers, Divisibility and Common Divisors. Discrete Logarithms and Diffie–Hellman. The index calculus and discrete logarithms. Combinatorics, Probability and Information Theory, Digital Signatures.

Подобные документы

  • A proposed public key distribution protocol, which is based on diffie-hellman problem is a two-pass protocol and has many of desirable secrity; the protocol is an extension diffie-hellman key exchange using random numbers and establishes a shared key K.

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  • 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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  • 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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  • 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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  • The basics of cryptography: encryption and decryption, its classification, as well as explanations the terminology and technology you will encounter as you use PGP products. Understanding digital signature, passphrase, key splitting and technical details.

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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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  • Introduction to cryptography and data security. The study of random numbers and an unbreakable stream cipher. The data encryption standard and alternatives. Practical aspects of public-key cryptography. Principles of message authentication codes.

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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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  • Cryptography is the science of using mathematics to encrypt and decrypt data. PGP data compression routines, the random numbers used as session keys, the message digest. Compromised passphrase and private key. Protecting against bogus timestamps.

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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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  • An elementary technique which leads to a linear algorithm for solving the discrete logarithm problem on elliptic curves of trace one. Using elliptic curves in cryptography to eliminate curves whose group orders are equal to the order of the finite field.

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  • Bits and Bytes. Complementation or Bitwise NOT. Special Operations and Abbreviations. Booleans and BitFields. Conversion of Integral Types to Byte Arrays. Symmetric Block Ciphers. Rijndael and the Advanced Encryption Standard. Public Key Cryptography.

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  • Basics of Contemporary Cryptography for Information Technology Practitioners. Codes for Error Detection. Advances in Coding Theory and Cryptography. Arcs, minihypers, and the classification of three-dimensional Griesmer codes. About the code equivalence.

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  • Digital signatures: background and definitions. Cryptographic hardness assumptions and constructions based on general assumptions, signature schemes based on the (strong) RSA assumption. The random oracle model and full-domain hash (related) schemes.

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  • Private versus public key cryptography. Variable changes and normal forms. Elliptic curves over finite fields. The baby-step giant-step algorithm. Counting points on elliptic curves. Isogenies and modular polynomials. The Schoof-Elkies-Atkin algorithm.

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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 study and practice information Illustration of simple cipher. Cryptography as to encryption, the process of converting ordinary information into unintelligible gibberish. Decryption is the reverse, moving from unintelligible ciphertext to plaintext.

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  • Protection from disclosure to unauthorised persons integrity. Maintaining data consistency. Assurance of identity of person or originator of data non-repudiation. Conventional encryption: uses a shared key. Digital Signatures and especially their use.

    учебное пособие, добавлен 08.03.2014

  • Classical cryptography and quantum computation, as well as the signature scheme to the security of Merkle. Challenges in quantum cryptography and the authentication path computation. Basic designs and variations of multivariate public-key cryptography.

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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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  • A mixing core for block cipher cryptography. Measured Boolean function nonlinearity in variable size block ciphers. Orthogonal latin squares, nonlinear balanced block mixers, and mixing ciphers. Binomial and Poisson statistics functions in JavaScript.

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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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  • Replacing symbolic information, such as a sequence of bits or a message written in a natural language, by another message using different symbols. The properties of arithmetic coding. The problem of reliable communication. Coding natural languages.

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  • Basics of Contemporary Cryptography. Codes for Error Detection. Advances in Coding Theory and Cryptography. Encryption Basics. Authentication Codes in the Query Model. Collision in the DSA Function. Fuzzy Identity-based Encryption: Efficient Schemes.

    учебное пособие, добавлен 08.03.2014

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