Concept

Lattice problem

Related publications (34)

Synthesis of Flexible Accelerators for Early Adoption of Ring-LWE Post-quantum Cryptography

Francesco Regazzoni, Subhadeep Banik, Hamid Nejatollahi

The advent of the quantum computer makes current public-key infrastructure insecure. Cryptography community is addressing this problem by designing, efficiently implementing, and evaluating novel public-key algorithms capable of withstanding quantum comput ...

ASSOC COMPUTING MACHINERY2020

On compact representations of Voronoi cells of lattices

Matthias Schymura, Christoph Hunkenschröder

In a seminal work, Micciancio & Voulgaris (2010) described a deterministic single-exponential time algorithm for the Closest Vector Problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given lattice and thus may need exponen ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

Polynomially Solvable Instances of the Shortest and Closest Vector Problems With Applications to Compute-and-Forward

Michael Christoph Gastpar, Saeid Sahraei

A particular instance of the shortest vector problem (SVP) appears in the context of compute-and-forward. Despite the NP-hardness of the SVP, we will show that this certain instance can be solved in complexity order O(nψlog(nψ)) , where ψ=sqrt(P ||h||^2+1) ...

Institute of Electrical and Electronics Engineers2017

LPN in Cryptography

Sonia Mihaela Bogos

The security of public-key cryptography relies on well-studied hard problems, problems for which we do not have efficient algorithms. Factorization and discrete logarithm are the two most known and used hard problems. Unfortunately, they can be easily solv ...

EPFL2017

Short Stickelberger Class Relations and Application to Ideal-SVP

Benjamin Pierre Charles Wesolowski

The worst-case hardness of finding short vectors in ideals of cyclotomic number fields (Ideal-SVP) is a central matter in lattice based cryptography. Assuming the worst-case hardness of Ideal-SVP allows to prove the Ring-LWE and Ring-SIS assumptions, and t ...

Springer International Publishing Ag2017

Avalanches in dry and saturated disordered media at fracture in shear and mixed mode scenarios

Jean-François Molinari, Enrico Milanese, Okan Yilmaz

We investigate shear and mixed mode fracture scenarios in inhomogeneous dry and fully saturated porous media with a 2D central force lattice model. For the fully saturated case we adopt the extended Biot's theory. The bars of the lattice break only under t ...

Elsevier2017

Improved hardness results for unique shortest vector problem

Divesh Aggarwal

The unique shortest vector problem on a rational lattice is the problem of finding the shortest non-zero vector under the promise that it is unique (up to multiplication by -1). We give several incremental improvements on the known hardness of the unique s ...

Elsevier2016

Multilevel Design Understanding: From Specification to Logic Invited Paper

Mathias Soeken

We present an outline of the field of Multilevel Design Understanding by first defining and motivating the related problems, and then describing the key issues which must be addressed in future research. ...

Assoc Computing Machinery2016

On lattice codes for Gaussian interference channels

Michael Christoph Gastpar, Jingge Zhu

The usefulness of lattice codes is investigated for two-user Gaussian interference channels (IC). A coding scheme based on the compute-and-forward technique is shown to achieve the capacity region of the Gaussian IC under strong interference. The proposed ...

2015

Almost Polynomial Factor Hardness for Closest Vector Problem with Preprocessing

Nisheeth Vishnoi

We prove that for an arbitrarily small constant < 0, the preprocessing versions of the closest vector problem and the nearest codeword problem are hard to approximate within a factor 2log1-en, under the assumption that NP ⊈ SIZE(2logO(1/e)n). © 2014 Soc ...

Society for Industrial and Applied Mathematics2014

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