Cryptographic attacks | Lemmas

Piling-up lemma

In cryptanalysis, the piling-up lemma is a principle used in linear cryptanalysis to construct linear approximations to the action of block ciphers. It was introduced by Mitsuru Matsui (1993) as an analytical tool for linear cryptanalysis. The lemma states that the bias (deviation of the expected value from 1/2) of a linear Boolean function (XOR-clause) of independent binary random variables is related to the product of the input biases: or where is the bias (towards zero) and the imbalance: . Conversely, if the lemma does not hold, then the input variables are not independent. (Wikipedia).

Video thumbnail

Learn how to solve a multi step equation with multiple fractions

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Video thumbnail

Solving a two step equation with the distributive property

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Video thumbnail

Raman Sanyal: Polyhedral geometry of pivot rules

Geometrically, a linear program gives rise to a polyhedron together with an orientation of its graph. A simplex method selects a path from any given vertex to the sink and thus determines an arborescence. The centerpiece of any simplex method is the pivot rule that selects the outgoing edg

From playlist Workshop: Tropical geometry and the geometry of linear programming

Video thumbnail

Solving an equation with parentheses

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Video thumbnail

Solving an equation with parentheses

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Video thumbnail

Solving an equation with parentheses

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Video thumbnail

Math 060 091317 Elementary matrices

Recall: definition of elementary matrices. Definition: row equivalence. Row equivalence is an equivalence relation. Various characterizations of invertibility. Procedure to calculate an inverse.

From playlist Course 4: Linear Algebra (Fall 2017)

Video thumbnail

Linear 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

Video thumbnail

Introduction to additive combinatorics lecture 4.5 --- getting all pairs joined by many P3s.

In the previous video we saw that for any dense bipartite graph one can restrict one of the vertex sets to a large subset such that almost any two vertices are joined by many paths of length 2. Here we replace the "almost all" by "all", but now we have a subset of each vertex set and the p

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

Video thumbnail

Abelian networks and sandpile models (Lecture 3) by Lionel Levine

PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this prog

From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019

Video thumbnail

Abelian networks and sandpile models (Lecture 2) by Lionel Levine

PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the

From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019

Video thumbnail

Shrinking Dynamics on Tropical Series by Nikita Kalinin

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the st

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

Video thumbnail

Using Distributive property twice and combining like terms to solve for x

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Video thumbnail

Halting problems for sandpiles and abelian networks - Lionel Levine

Computer Science/Discrete Mathematics Seminar II Topic: Halting problems for sandpiles and abelian networks Speaker: Lionel Levine Affiliation: Cornell University; von Neumann Fellow Date: March 12, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Will Troiani - Introduction to proof nets (Part 2)

In the second of Will's talks on linear logic and proof nets, he proves the sequentialisation theorem which distinguishes proof nets among proof structures using the long trip condition. Lecture notes - https://cglseminar.github.io/notes/Proof-nets.pdf This is a talk in the Computation,

From playlist Computation, Geometry, Logic seminar

Video thumbnail

Solve a Linear Equation with Decimals and Parentheses with Variables on Both Sides

This video explains how to solve a multi-step linear equation in one variable with parentheses and decimals with variables on both sides.. http://mathispower4u.com

From playlist Solving Multi-Step Equations

Video thumbnail

Entropic Optimal Transport - Prof. Marcel Nutz

A workshop to commemorate the centenary of publication of Frank Knight’s "Risk, Uncertainty, and Profit" and John Maynard Keynes’ “A Treatise on Probability” This workshop is organised by the University of Oxford and supported by The Alan Turing Institute. For further details and regular

From playlist Uncertainty and Risk

Video thumbnail

Markov chain model reduction by Claudio Landim

Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst

From playlist Large deviation theory in statistical physics: Recent advances and future challenges

Video thumbnail

Solve a multi step equation with two variables and distributive property ex 19, –7=3(t–5)–t

👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes

From playlist How to Solve Multi Step Equations with Parenthesis

Related pages

Dependent and independent variables | Variance | Cryptanalysis | Expected value | Parity function | Binary variable | Uncorrelatedness (probability theory) | Block cipher | S-box | Probability | Linear cryptanalysis | Bernoulli distribution | Linear approximation | Correlation coefficient | Covariance