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SWIFFT

In cryptography, SWIFFT is a collection of provably secure hash functions. It is based on the concept of the fast Fourier transform (FFT). SWIFFT is not the first hash function based on the FFT, but it sets itself apart by providing a mathematical proof of its security. It can be shown that finding collisions in SWIFFT is at least as difficult as finding…

Art, Computing the polynomial product & Cryptographic properties and security

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Computing the polynomial product

Convolution theoremFourier transformConvolutionFourier coefficientsNumber-theoretic transform
6 related topics

Cryptographic properties and security

PseudorandomWorst-caseIdeal latticesReductionGeneralized birthday attack
5 related topics

The algorithm

PolynomialPolynomial ringConfusionLinear combination
4 related topics

Statistical properties

UniversalRandomness extractors
2 related topics

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Designers
Vadim Lyubashevsky, Daniele Micciancio, Chris Peikert, Alon Rosen
First published
2008
Related to
FFT-based algorithms

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Overview

The algorithm

Algebraic description

Computing the polynomial product

Statistical properties

Cryptographic properties and security

Advanced semantic analysis

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Map overview Semantic statistics

SWIFFT

Nodes34
Edges33
Triples45
Avg. degree1.94
Density0.058824
Components1

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SWIFFT

Top relations

related to The algorithm · 10
SWIFFT → Compute, Convert, Define, FFT, Fourier, Input, Let, Point-wise, The, Use
related to Theoretical security · 9
SWIFFT → As, At, It, Note, Suppose, T2, The, Then, This
related to Statistical properties · 8
SWIFFT → For, Formally, Hash, Randomness, Regularity, The SWIFFT, This, Universal
related to Number-theoretic transform · 5
SWIFFT → Fourier, In, Instead, The, This
related to Algebraic description · 4
SWIFFT → An, Define, The, The SWIFFT
related to Cryptographic properties and security · 4
SWIFFT → For, It, The SWIFFT, This
is a · 2
SWIFFT → collection of provably secure hash functions, randomness extractor
Designers · 1
SWIFFT → Vadim Lyubashevsky, Daniele Micciancio, Chris Peikert, Alon Rosen
First published · 1
SWIFFT → 2008
Related to · 1
SWIFFT → FFT-based algorithms

Important terminology Word statistics

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Important terminology

function hash functions family polynomial fourier algorithm input security coefficients random transform fast provably fft finding short case proof cryptographic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
SWIFFTDesignersVadim Lyubashevsky, Daniele Micciancio, Chris Peikert, Alon Rosen1.00infobox
SWIFFTFirst published20081.00infobox
SWIFFTRelated toFFT-based algorithms1.00infobox
SWIFFTis acollection of provably secure hash functions0.90text
SWIFFTis arandomness extractor0.90text
SWIFFTrelated to Algebraic descriptionThe SWIFFT0.60section
SWIFFTrelated to Algebraic descriptionDefine0.60section
SWIFFTrelated to Algebraic descriptionAn0.60section
SWIFFTrelated to Algebraic descriptionThe0.60section
SWIFFTrelated to Cryptographic properties and securityFor0.60section
SWIFFTrelated to Cryptographic properties and securityThis0.60section
SWIFFTrelated to Cryptographic properties and securityIt0.60section

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    Min side: 3
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