Table Of Content

Sieving for shortest vectors in lattices using (angular) locality-sensitive hashing Thijs Laarhoven [email protected] http://www.thijs.com/ Crypto 2015, Santa Barbara (CA), USA (August 17, 2015) Lattices What is a lattice? O Lattices What is a lattice? b 2 b 1 O Lattices What is a lattice? b 2 b 1 O Lattices Shortest Vector Problem (SVP) b 2 b 1 s O Lattices Exact SVP algorithms Algorithm log (Time) log (Space) 2 2 Enumeration[Poh81,Kan83,...,GNR10] Ω(nlogn) O(logn) P V AKS-sieve[AKS01,NV08,MV10,HPS11] 3.398n 1.985n S ListSieve[MV10,MDB14] 3.199n 1.327n ble AKS-sieve-birthday[PS09,HPS11] 2.648n 1.324n va ListSieve-birthday[PS09] 2.465n 1.233n o Pr Voronoicellalgorithm[MV10b] 2.000n 1.000n DiscreteGaussiansampling[ADRS15] 1.000n 1.000n Nguyen-Vidicksieve[NV08] 0.415n 0.208n GaussSieve[MV10,...,IKMT14,BNvdP14] 0.415n? 0.208n P V Two-levelsieve[WLTB11] 0.384n 0.256n S Three-levelsieve[ZPH13] 0.3778n 0.283n tic Overlatticesieving[BGJ14] 0.3774n 0.293n s uri e H Lattices Exact SVP algorithms Algorithm log (Time) log (Space) 2 2 Enumeration[Poh81,Kan83,...,GNR10] Ω(nlogn) O(logn) P V AKS-sieve[AKS01,NV08,MV10,HPS11] 3.398n 1.985n S ListSieve[MV10,MDB14] 3.199n 1.327n ble AKS-sieve-birthday[PS09,HPS11] 2.648n 1.324n va ListSieve-birthday[PS09] 2.465n 1.233n o Pr Voronoicellalgorithm[MV10b] 2.000n 1.000n DiscreteGaussiansampling[ADRS15] 1.000n 1.000n Nguyen-Vidicksieve[NV08] 0.415n 0.208n GaussSieve[MV10,...,IKMT14,BNvdP14] 0.415n? 0.208n P V Two-levelsieve[WLTB11] 0.384n 0.256n S Three-levelsieve[ZPH13] 0.3778n 0.283n tic Overlatticesieving[BGJ14] 0.3774n 0.293n s uri HyperplaneLSH[Laa15] 0.337n 0.208n e H Lattices Exact SVP algorithms Algorithm log (Time) log (Space) 2 2 Enumeration[Poh81,Kan83,...,GNR10] Ω(nlogn) O(logn) P V AKS-sieve[AKS01,NV08,MV10,HPS11] 3.398n 1.985n S ListSieve[MV10,MDB14] 3.199n 1.327n ble AKS-sieve-birthday[PS09,HPS11] 2.648n 1.324n va ListSieve-birthday[PS09] 2.465n 1.233n o Pr Voronoicellalgorithm[MV10b] 2.000n 1.000n DiscreteGaussiansampling[ADRS15] 1.000n 1.000n Nguyen-Vidicksieve[NV08] 0.415n 0.208n GaussSieve[MV10,...,IKMT14,BNvdP14] 0.415n? 0.208n P V Two-levelsieve[WLTB11] 0.384n 0.256n S Three-levelsieve[ZPH13] 0.3778n 0.283n tic Overlatticesieving[BGJ14] 0.3774n 0.293n s uri HyperplaneLSH[Laa15],[MLB15] 0.337n 0.208n e MayandOzerov’sNNSmethod[BGJ15] 0.311n 0.208n H SphericalLSH[LdW15] 0.298n 0.208n Cross-polytopeLSH[BL15] 0.298n 0.208n Nguyen-Vidick sieve O Nguyen-Vidick sieve 1. Sample a list L of random lattice vectors O

Description:
1.000n. Discrete Gaussian sampling [ADRS15]. 1.000n. 1.000n. Heuristic. SVP. Nguyen-Vidick sieve [NV08]. 0.415n. 0.208n. GaussSieve [MV10, . , IKMT14, BNvdP14]. 0.415n? 0.208n. Two-level sieve [WLTB11]. 0.384n. 0.256n. Three-level sieve [ZPH13]. 0.3778n. 0.283n. Overlattice sieving [BGJ14].
ebook img

Sieving for shortest vectors in lattices using (angular) PDF

85 Pages·2015·2.52 MB·English
by  Thijs Laarhoven
Save to my drive
Quick download
Download

Download Sieving for shortest vectors in lattices using (angular) PDF Free - Full Version

by Thijs Laarhoven| 2015| 85 pages| 2.52| English

Download Sieving for shortest vectors in lattices using (angular) by Thijs Laarhoven in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!

Free Download PDF

About Sieving for shortest vectors in lattices using (angular)

1.000n. Discrete Gaussian sampling [ADRS15]. 1.000n. 1.000n. Heuristic. SVP. Nguyen-Vidick sieve [NV08]. 0.415n. 0.208n. GaussSieve [MV10, . , IKMT14, BNvdP14]. 0.415n? 0.208n. Two-level sieve [WLTB11]. 0.384n. 0.256n. Three-level sieve [ZPH13]. 0.3778n. 0.283n. Overlattice sieving [BGJ14].

Detailed Information

Author:Thijs Laarhoven
Publication Year:2015
Pages:85
Language:English
File Size:2.52
Format:PDF
Price:FREE
Download Free PDF

Safe & Secure Download - No registration required

Why Choose PDFdrive for Your Free Sieving for shortest vectors in lattices using (angular) Download?

  • 100% Free: No hidden fees or subscriptions required for one book every day.
  • No Registration: Immediate access is available without creating accounts for one book every day.
  • Safe and Secure: Clean downloads without malware or viruses
  • Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
  • Educational Resource: Supporting knowledge sharing and learning

Free Books Similar to Sieving for shortest vectors in lattices using (angular)

Frequently Asked Questions

Is it really free to download Sieving for shortest vectors in lattices using (angular) PDF?

Yes, on https://PDFdrive.to you can download Sieving for shortest vectors in lattices using (angular) by Thijs Laarhoven completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.

How can I read Sieving for shortest vectors in lattices using (angular) on my mobile device?

After downloading Sieving for shortest vectors in lattices using (angular) PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.

Is this the full version of Sieving for shortest vectors in lattices using (angular)?

Yes, this is the complete PDF version of Sieving for shortest vectors in lattices using (angular) by Thijs Laarhoven. You will be able to read the entire content as in the printed version without missing any pages.

Is it legal to download Sieving for shortest vectors in lattices using (angular) PDF for free?

https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.

The materials shared are intended for research, educational, and personal use in accordance with fair use principles.

We use cookies

We use cookies to ensure you get the best browsing experience on our website. By clicking "Accept Cookies", you agree that we can store cookies on your device in accordance with our Terms and Privacy.