Elliptic curves and their applications to cryptography an introduction
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.
Подобные документы
A new general mathematical problem, suitable for public-key cryptosystems, is proposed: morphism computation in a category of Abelian groups. The problem seems to be hard for solving with a quantum computer. A demonstrative example of encryption.
статья, добавлен 15.09.2012The main types of noise and filters that remove them from the image and analyze the apparent differences in the distribution of the image (using the watershed algorithm). Choosing the best filter to use when working with the watershed algorithm.
статья, добавлен 14.01.2017Computational 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.
книга, добавлен 08.03.2014Development of software and algorithm of the information system for monitoring fires. Possibilities detecting fire from sensor, predicting its spread and assessing the source of ignition. Realization of information through sound and visual signals.
статья, добавлен 22.12.2016The adaptive learning algorithm for "extended neo-fuzzy neuron" is proposed, that has both following and smoothing properties and allows to solve problems of prediction, filtering and smoothing of non-stationary disturbed stochastic and chaotic signals.
статья, добавлен 29.07.2016Questionnaires are the tools uses in lexical typology with collect data for low-resourced languages, for which there are no large corpora or detailed dictionaries. Algorithm for automatically collect visual stimuli for lexico-typological research.
дипломная работа, добавлен 04.12.2019The first public key system - Diffie-Hellman key agreement. Solving discrete logarithm problem. Mutual identification with key establishment. Unicity distance for secret key cipher. Statistical tests for random and pseudo-random number generators.
книга, добавлен 08.03.2014Explanation of theoretical insights between Boolean logic and modern Boolean logic. An additional method of investigation is the demonstration of the role of Boolean logic in informatics through the development of a design scheme and cryptography.
статья, добавлен 17.12.2022The method and algorithm for realization of arithmetic operations in the system of remainder classes. The principal advantage of the suggested method. The algorithms for realization of arithmetic operations of summation, deduction and multiplication.
статья, добавлен 14.07.2016Dictionary data structures. Tolerant retrieval: Wildcards, Spell correction, Soundex. Sort-based index construction. Blocked sort-based Indexing (Sorting with fewer disk seeks). Remaining problem with sort-based algorithm. Single-pass in-memory indexing.
презентация, добавлен 19.02.2014Replacing 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.
книга, добавлен 08.03.2014A 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.
курс лекций, добавлен 08.03.2014Our algorithm combines the Reverse Polish Notation (RPN) and expression tree algorithms it is a novel method for efficiently evaluating arithmetic expressions. The algorithm combines the benefits of Reverse Polish Notation (RPN) and Expression Trees.
статья, добавлен 19.03.2024Development of a new algorithm for registration of remote sensing images based on landmarks. Mathematical model of elementary and flat objects of the image based on contour analysis. An solution that allows you to analyze a specific image object.
статья, добавлен 27.05.2021The computer based mechanism which lead to the identification of lines with Romanian chromatic words as the first step in the process of elaboration of a dictionary of poetic meanings of colors. The cooperation of specialists from different fields such.
статья, добавлен 23.02.2016Linear Programming is concerned with maximizing or minimizing an equation over certain criteria. Mixed Integer Linear Programming: Techniques for Solving, Contribution of the Project, Solving Using Branch. Schematic for Branch and Cut algorithm.
научная работа, добавлен 09.10.2012- 92. Brute force
Consideration of the state of US policy in the area of private and public encryption of data. An analysis of the legality of the use by the state of private information about their citizens fininsah. The study of features the standard encryption.
книга, добавлен 08.03.2014 The replacement of the distribution of probable landmark locations, obtained from each local detector, with simpler parametric forms. Extensions to handle partial occlusions and reduce computational complexity. Algorithm regularized landmark mean-shift.
статья, добавлен 24.12.2016Higher-level programming language (commonly C, C++, or java) and familiarity with the fundamentals of data structures and algorithms. The study of the theory of computation. A hierarchy of formal language and automata. Limits of algorithmic computation.
книга, добавлен 08.03.2014New cross-layer scheduling algorithm to quality of service. The modern methods for improving bit error and throughput program for the management of resources. The assessment of service quality, modulation and coding scheme in the resource block.
статья, добавлен 26.06.2016A General idea on the basis of information contained in cryptographic systems. Feature encryption standard "Rijndael". The principles of encoding data with a public key algorithm RSA. Safety standards models of information flow in computer programs.
книга, добавлен 08.03.2014Types of knowledge-based systems. Logic, rules and representation. The use of registered names, trademarks in engineering. Expert systems, neural networks, genetic algorithms, case-based reasoning systems and methodologies of intelligent agents.
книга, добавлен 04.10.2014The principles of construction of the integrated modular avionics aircraft and its functional elements. Methods and means of control of IMA computer systems. Evaluate the reliability of IMA computing structures for different hardware configurations.
статья, добавлен 13.07.2022Criteria 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.
книга, добавлен 13.03.2014Rotational Rebound Attacks on Reduced Skein. Improved Generic Attacks on Unbalanced Feistel Schemes with Expanding Functions. Conditional Differential Cryptanalysis of NLFSR-Based Cryptosystems. Constant-Size Commitments to Polynomials and Applications.
курс лекций, добавлен 08.03.2014