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.

Подобные документы

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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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  • 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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  • Tools for Security and Insecurity. Unbiasing a Biased Coin. Combining Weak Sources of Entropy. Pseudorandom Number Generators. Random Permutation Generation. Sound Approach to Random Number Generation and Use. Computationally Secure Information Stealing.

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  • International recommendations on Using error control coding at different network layers. The complexity of decoding in the channel with independent errors. Providing security of data in a network with the help of coding methods. Public-key cryptography.

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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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  • Arithmetic and number theory in C and C++. The fundamental operations in programs. Modular arithmetic: calculating with residue classes. Addition chains and windows. Cryptographic application of exponentiation. A modern the data encryption standard.

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  • Analysis of the extended euclidean algorithm. Analysis of operations in the residue class ring. Structure of the multiplicative group of residues mod a prime number. Symmetric and asymmetric cryptosystems. Compression functions from encryption functions.

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  • The problem of protecting information by transforming it, precluding its reading an outsider. Cryptographic methods of data protection - special encryption, encoding or a conversion. Architecture, devices and addresses applications of cryptography.

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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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  • Computing the Cassels pairing classes in Tate group. The calculation of the pairing on twisted Edwards in the form of elliptic curves. Control malicious proxy re-encryption. Security and anonymity-based encryption with trusted certification authorities.

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  • One of the basic primitives in cryptography and of computer science is a pseudo-random generator. The number of important applications, including the construction of a private provably secure key cryptosystem. The construct a pseudo-random generator.

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  • Standards and the Standardization Process: International, National and Industrial organizations. Cryptographic evaluation bodies. Security Mechanisms and Services. Encryption and Modes of Operation for Block Ciphers. Cryptographic Hash Functions.

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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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  • The Random Oracle Model and the Ideal Cipher Model Are Equivalent. Programmable Hash Functions and Their Applications. Adaptive One-Way Functions and Applications. Bits Security of the Elliptic Curve Diffie–Hellman Secret Keys. Cryptanalysis of MinRank.

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  • Comparison of several common approaches to the analysis of system logs and streaming data generated en masse by the company's IT infrastructure. Characteristics of model-based anomaly search algorithms and hierarchical temporary memory algorithms.

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