Shortest vector problem - PowerPoint PPT Presentation

New Lattice Based Cryptographic Constructions

New Lattice Based Cryptographic Constructions. Oded Regev. Lattices. Basis: v 1 ,…,v n vectors in R n The lattice is a 1 v 1 +…+a n v n for all integer a 1 ,…,a n . What is the shortest vector u ?. v 1 +v 2. 2v 2. 2v 1. 2v 2 -v 1. v 1. v 2. 2v 2 -2v 1. 0. 3v 1 -4v 2.

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1.23k views • 73 slides

Lattice-based Cryptography

Lattice-based Cryptography. Oded Regev Tel-Aviv University. CRYPTO 2006, Santa Barbara, CA. Introduction to lattices Survey of lattice-based cryptography Hash functions [Ajtai96,…] Public-key cryptography [AjtaiDwork97,…] Construction of a simple lattice-based hash function

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1.02k views • 36 slides

Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: [Performance and Security of NTRU Security Suite] Date Submitted: [February 22, 2002]

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447 views • 33 slides

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