Cryptographic primitives | Theory of cryptography | Pseudorandomness
In cryptography, a pseudorandom function family, abbreviated PRF, is a collection of efficiently-computable functions which emulate a random oracle in the following way: no efficient algorithm can distinguish (with significant advantage) between a function chosen randomly from the PRF family and a random oracle (a function whose outputs are fixed completely at random). Pseudorandom functions are vital tools in the construction of cryptographic primitives, especially secure encryption schemes. Pseudorandom functions are not to be confused with pseudorandom generators (PRGs). The guarantee of a PRG is that a single output appears random if the input was chosen at random. On the other hand, the guarantee of a PRF is that all its outputs appear random, regardless of how the corresponding inputs were chosen, as long as the function was drawn at random from the PRF family. A pseudorandom function family can be constructed from any pseudorandom generator, using, for example, the "GGM" construction given by Goldreich, Goldwasser, and Micali. While in practice, block ciphers are used in most instances where a pseudorandom function is needed, they do not, in general, constitute a pseudorandom function family, as block ciphers such as AES are defined for only limited numbers of input and key sizes. (Wikipedia).
Transcendental Functions 3 Examples using Properties of Logarithms.mov
Examples using the properties of logarithms.
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Transcendental Functions 13 Derivatives of a Function and its Inverse.mov
The first derivative of a function and the inverse of that function.
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Transcendental Functions 19 The Function a to the power x.mp4
The function a to the power x.
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Multi-group fairness, loss minimization and indistinguishability - Parikshit Gopalan
Computer Science/Discrete Mathematics Seminar II Topic: Multi-group fairness, loss minimization and indistinguishability Speaker: Parikshit Gopalan Affiliation: VMware Research Date: April 12, 2022 Training a predictor to minimize a loss function fixed in advance is the dominant paradigm
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Transcendental Functions 16 Proof of the Properties of Logarithms Part 1.mov
Proof of some of the properties of logarithms.
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Transcendental Functions 16 Proof of the Properties of Logarithms Part 2.mov
Proof of the exponential or power property of logarithms.
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Giray Ökten: Number sequences for simulation - lecture 1
After an overview of some approaches to define random sequences, we will discuss pseudorandom sequences and low-discrepancy sequences. Applications to numerical integration, Koksma-Hlawka inequality, and Niederreiter’s uniform point sets will be discussed. We will then present randomized q
From playlist Probability and Statistics
Transcendental Functions 9 One More Property of Logarithms.mov
Another logarithmic property.
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Jonathan Katz - Introduction to Cryptography Part 1 of 3 - IPAM at UCLA
Recorded 25 July 2022. Jonathan Katz of the University of Maryland presents "Introduction to Cryptography I" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: This lecture will serve as a "crash course" in modern cryptography for those with no prior exposure
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography
Clip 4/6 Speaker: Travis Goodspeed Open JTAG with Voltage Glitching The GoodFET is an open source tool for programming microcontrollers and memories by SPI, I2C, JTAG, and a slew of vendor-proprietary protocols. In this lecture, the design of the GoodFET will be explained in detail,
From playlist 26C3: Here be dragons day 2
Pseudorandomness from Shrinkage - Raghu Meka
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From playlist Mathematics
Interview Igor Shparlinski : Jean Morlet Chair (First Semester 2014)
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Transcendental Functions 11 Inverse Functions Part 1.mov
Moving on in our study of transcendental functions, we look at the inverse of a function.
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Transcendental Functions 2 Properties of Logarithms.mov
Properties of Logarithms.
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Michal Pilipczuk: Introduction to parameterized algorithms, lecture II
The mini-course will provide a gentle introduction to the area of parameterized complexity, with a particular focus on methods connected to (integer) linear programming. We will start with basic techniques for the design of parameterized algorithms, such as branching, color coding, kerneli
From playlist Summer School on modern directions in discrete optimization
Katalin Gyarmati: On the cross-combined measure of families of binary lattices and sequences
Abstract: The cross-combined measure (which is a natural extension of crosscorrelation measure) is introduced and important constructions of large families of binary lattices with nearly optimal cross-combined measures are presented. These results are important in the study of large famili
From playlist Women at CIRM
Better Pseudorandom Generators from Milder Pseudorandom Restrictions - Parikshit Gopalan
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Quantum Pseudoentanglement - Bill Fefferman
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From playlist Natural Sciences
Transcendental Functions 4 Two Main Logarithmic Bases.mov
Logarithms with base 10 and Euler's number or the natural logarithm.
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