'Discrete logarithm' diaporamas de présentation

Chapter 6 Public Key Algorithms

Chapter 6 Public Key Algorithms. Instructor: ??? hmsun@cs.nthu.edu.tw Room: EECS 6402, Tel:03-5742968, Fax : 886-3-572-3694. Exponentiation Ciphers. We will consider two kinds of exponentiation ciphers developed by the following people:

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Anonymous Credentials

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Introduction to Erasure coding

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Outline

Public-key cryptography A collection of hard problems Mathematical Background Trapdoor Knapsack Integer factorization Problem Discrete logarithm problem revisited Case of Study: The Sun NFS Cryptosystem The RSA Algorithm Elliptic curves and the discrete logarithm problem

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Elliptic Curve Weak Class Identification for the Security of Cryptosystem

Elliptic Curve Weak Class Identification for the Security of Cryptosystem. Intan Muchtadi, Ahmad Muchlis and Fajar Yuliawan Algebra Research Group, Institut Teknologi Bandung (ITB), Indonesia. Elliptic Curve.

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Lecture 3.2: Public Key Cryptography II

Lecture 3.2: Public Key Cryptography II. CS 436/636/736 Spring 2014 Nitesh Saxena. Course Administration. HW1 solution has been posted Grades posted We will distribute after lecture today Any questions, or help needed? We need to something to make-up the missed material

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Lecture 3.2: Public Key Cryptography II

Lecture 3.2: Public Key Cryptography II. CS 436/636/736 Spring 2014 Nitesh Saxena. Course Administration. HW1 solution has been posted Grades posted We will distribute after lecture today Any questions, or help needed? We need to something to make-up the missed material

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Cryptosystems Based on Discrete Logarithms

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Public Key Cryptography

Public Key Cryptography. Tim van der Horst & Kent Seamons. Last Updated: Aug 27, 2013. Asymmetric Encryption. Why Public Key Crypto is Cool. Has a linear solution to the key distribution problem Symmetric crypto has an exponential solution

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Factoring and Discrete Logarithm Based Cryptography

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Requirements - must be able to verify that: 1. Message came from apparent source or author,

Authentication. Requirements - must be able to verify that: 1. Message came from apparent source or author, 2. Contents have not been altered, 3. Sometimes, it was sent at a certain time or sequence.

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Some maths from the telecommunications industry

Presented by Dr Steve Babbage 25 March 2009. Some maths from the telecommunications industry. Purpose of this presentation. To illustrate some industrial applications that require and inspire mathematical research Optimisation Data security And underpinning both of those: Complexity.

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Cryptography and Network Security

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Elliptic curve point multiplication

Elliptic curve point multiplication. Alexander Rostovtsev, Elena Makhovenko St. Petersburg State Politechnic University www.ssl.stu.neva.ru. Elliptic curves in cryptology. Elliptic curve cryptosystems provide: the best possible strength;

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Diffie -Hellman Key Exchange

Diffie -Hellman Key Exchange. MATH 3396 Instructor: Alex Karassev. Discrete logarithm problem (DLP). a, b from F p * The smallest non-negative integer x such that a x = b is called the discrete logarithm of b to the base a Notation: x = Log a b ????? b ?? ????????? ?

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Ciphertext Only Cryptanalytic Attack on Merkle-Hellman Knapsack: Dynamic Programming Algorithm

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Modular Arithmetic Warmup

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Modular Arithmetic Warmup

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