Cryptographic attacks

Differential-linear attack

Introduced by Martin Hellman and in 1994, the differential-linear attack is a mix of both linear cryptanalysis and differential cryptanalysis. The attack utilises a differential characteristic over part of the cipher with a probability of 1 (for a few rounds—this probability would be much lower for the whole cipher). The rounds immediately following the differential characteristic have a linear approximation defined, and we expect that for each chosen plaintext pair, the probability of the linear approximation holding for one chosen plaintext but not the other will be lower for the correct key. Hellman and Langford have shown that this attack can recover 10 key bits of an 8-round DES with only 512 chosen plaintexts and an 80% chance of success. The attack was generalised by Eli Biham et al. to use differential characteristics with probability less than 1. Besides DES, it has been applied to FEAL, IDEA, Serpent, Camellia, and even the stream cipher Phelix. (Wikipedia).

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C23 More about the annihilator approach

Finding the annihilator differential operator for other types of expressions.

From playlist Differential Equations

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C34 Expanding this method to higher order linear differential equations

I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.

From playlist Differential Equations

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C21 The annihilator approach

Another, perhaps better, method of solving for a higher-order, linear, nonhomogeneous differential equation with constant coefficients. In essence, some form of differentiation is performed on both sides of the equation, annihilating the right-hand side (to zero), so as to change it into

From playlist Differential Equations

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Determine if the Functions are Linearly Independent or Linearly Dependent

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to determine if three functions are linearly independent or linearly dependent using the definition.

From playlist Differential Equations

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C07 Homogeneous linear differential equations with constant coefficients

An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.

From playlist Differential Equations

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C13 Third and higher order linear DE with constant coefficients

An example problem of a third-order, homogeneous, linear ODE with constant coefficients by making use of the roots of the auxiliary equation.

From playlist Differential Equations

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A01 Introduction to linear systems

An introduction to linear sets of ordinary differential equations.

From playlist A Second Course in Differential Equations

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Differential Cryptanalysis

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist Computer - Cryptography and Network Security

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Linear versus Nonlinear Differential Equations

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Linear versus Nonlinear Differential Equations

From playlist Differential Equations

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Lilya Budaghyan : On APN and AB power functions

CONFERENCE Recording during the thematic meeting : « ALgebraic and combinatorial methods for COding and CRYPTography» the February 23, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given b

From playlist Combinatorics

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Louis Nirenberg: Some remarks on Mathematics

Abel Laureate Louis Nirenberg, Courant Institute, New York University: Some remarks on Mathematics This lecture was held by Abel Laurate Louis Nirenberg at The University of Oslo, May 20, 2015 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. P

From playlist Louis Nirenberg

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Mod-01 Lec-01 Introduction and Overview

Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org

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Introduction to Differential Equation Terminology

This video defines a differential equation and then classifies differential equations by type, order, and linearity. Search Library at http://mathispower4u.wordpress.com

From playlist Introduction to Differential Equations

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Shannon 100 - 26/10/2016 - Anne CANTEAUT

Comment concevoir un algorithme de chiffrement sûr et efficace : l'héritage de Shannon Anne Canteaut (INRIA) Dans son article fondateur publié en 1949 posant les fondements de la cryptographie, Claude Shannon a énoncé deux méthodes de conception visant à éviter les attaques statistiques

From playlist Shannon 100

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Transfer Functions: Introduction and Implementation

In this video we introduce transfer functions and show how they can be derived from a set of linear, ordinary differential equations. We also examine how to use a transfer function to predict the output of system to a given input. Topics and time stamps: 0:38 – Example using an aircraft

From playlist Control Theory

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Gaël Thomas - Diffusion dans les schémas de Feistel généralisés

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From playlist Journées Codage et Cryptographie 2014

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Instance-Hiding Schemes for Private Distributed Learning -Sanjeev Arora

Seminar on Theoretical Machine Learning Topic: Instance-Hiding Schemes for Private Distributed Learning Speaker: Sanjeev Arora Affiliation: Princeton University; Distinguishing Visiting Professor, School of Mathematics Date: June 25, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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CERIAS Security: Perturbation of Multivariable Public-key Cryptosystems 4/5

Clip 4/5 Speaker: Jintai Ding · University of Cincinnati Public key cryptography is an indispensable part of most modern communication systems. However, quantum computers can break cryptosystems like RSA, which are based on For more information go to the Cerias website (http://bit

From playlist The CERIAS Security Seminars 2005 (2)

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B27 Introduction to linear models

Now that we finally now some techniques to solve simple differential equations, let's apply them to some real-world problems.

From playlist Differential Equations

Related pages

FEAL | Stream cipher | Camellia (cipher) | International Data Encryption Algorithm | Serpent (cipher) | Linear cryptanalysis | Differential cryptanalysis | Phelix | Data Encryption Standard