'Discrete log' diaporamas de présentation

Cryptography for electronic voting

Cryptography for electronic voting. Bogdan Warinschi University of Bristol. Aims and objectives. Cryptographic tools are amazingly powerful Models are useful, desirable, and difficult to get right Cryptographic proofs are not difficult

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Pseudo-randomness

668 views • 52 slides

Introduction to Modern Cryptography Homework assignments

Introduction to Modern Cryptography Homework assignments Pollards ( p -1) method for factoring integers with prime factors p such that p -1 has small prime factors Pollards ? algorithm for discrete log. Pollards p -1 factoring algorithm.

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Session 5

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Public Key Cryptography Diffie-Hellman, Discrete Log, RSA

Diffie-Hellman Key Exchange, Discrete Log Problem Public Key Crypto RSA. Public Key Cryptography Diffie-Hellman, Discrete Log, RSA. CSCI283 Fall 2005 GWU. Diffie-Hellman Key Exchange. Diffie-Hellman Key Exchange. Protocol for exchanging secret key over public channel.

810 views • 37 slides

Richard Cleve DC 2117 cleve@cs.uwaterloo

Introduction to Quantum Information Processing CS 467 / CS 667 Phys 667 / Phys 767 C&O 481 / C&O 681. Richard Cleve DC 2117 cleve@cs.uwaterloo.ca. Lecture 7 (2008). Definition of the quantum Fourier transform (QFT). Quantum Fourier transform.

514 views • 34 slides

Cryptography: Numbers and Tools

Cryptography: Numbers and Tools. Gerard Tel Dept of Computing Science, Utrecht. Talk overview. Part 1: Numbers for Crypto Definition and existence: require P ? NP Encryption with numbers: Elgamal Numbers versus Ad hoc: Hashing Part 2: Tools Zero knowledge proofs Secret Sharing

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The Discrete Logarithm Problem with Preprocessing

472 views • 32 slides

Introduction to Modern Cryptography Lecture 5

Introduction to Modern Cryptography Lecture 5 Number Theory: 1. Quadratic residues. 2. The discrete log problem. Intro to Public Key Cryptography Diffie & Hellman Key Exchange.

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Introduction to Modern Cryptography Lecture 5

Introduction to Modern Cryptography Lecture 5 Number Theory: 1. Quadratic residues. 2. The discrete log problem. Intro to Public Key Cryptography Diffie & Hellman Key Exchange.

325 views • 31 slides

Introduction to Modern Cryptography Homework assignments

Introduction to Modern Cryptography Homework assignments. Pollards p -1 factoring algorithm. Let B be a smoothness bound Let Q be the LCM of all prime powers ? B If ( p -1) is B -smooth then and for any a , gcd( a , p )=1,. How many bits in Q?.

315 views • 31 slides

On Continual Leakage of Discrete Log Representations

On Continual Leakage of Discrete Log Representations. Several Slides by Daniel Wichs. Shweta Agrawal IIT, Delhi Joint work with Yevgeniy Dodis , Vinod Vaikuntanathan and Daniel Wichs. Crypto: Theory and Practice. Crypto can achieve seemingly magical things in theory

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Richard Cleve DC 3524 cleve@cs.uwaterloo Course web site at:

Introduction to Quantum Information Processing CS 467 / CS 667 Phys 467 / Phys 767 C&O 481 / C&O 681. Richard Cleve DC 3524 cleve@cs.uwaterloo.ca Course web site at: http://www.cs.uwaterloo.ca/~cleve/courses/cs467. Lecture 9 (2005). Contents. Loose ends in discrete log algorithm

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Discrete Log

Discrete Log. Discrete Logarithm. Discrete log problem: Given p , g and g a (mod p) , determine a This would break Diffie-Hellman and ElGamal Discrete log algorithms analogous to factoring, except no sieving This makes discrete log harder to solve

590 views • 13 slides

Discrete Log

Discrete Log. Discrete Logarithm. Discrete log problem: Given p , g and g a (mod p) , determine a This would break Diffie-Hellman and ElGamal Discrete log algorithms analogous to factoring, except no sieving This makes discrete log harder to solve

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ElGamal Cryptosystem and variants

536 views • 12 slides

ElGamal Public Key Cryptography

ElGamal Public Key Cryptography. CS 303 Alg. Number Theory & Cryptography Jeremy Johnson.

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ElGamal Public Key Cryptography

ElGamal Public Key Cryptography. CS 303 Alg. Number Theory & Cryptography Jeremy Johnson.

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Announcements: Term project groups and topics due midnight HW6 due next Tuesday. Questions?

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Collision Algorithms

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