Lattice-based cryptography

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History

Miklós Ajtai Cynthia Dwork Short integer solutions Worst-case Cryptographic hash function

14 related topics

Selected lattice-based schemes

GGH encryption scheme SWIFFT CRYSTALS-Kyber Daniel J. Bernstein NewHope

9 related topics

Overview

Cryptographic primitives Lattices Post-quantum cryptography RSA Diffie-Hellman

14 related topics

Mathematical background

Linear algebra Basis Standard basis Shortest vector problem

4 related topics

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Overview

Cryptographic primitives Cryptographic primitive
Lattices Lattice (group)
Post-quantum cryptography
RSA RSA (cryptosystem)
Diffie-Hellman
Elliptic-curve Elliptic-curve cryptography
Shor's algorithm
Quantum computer Quantum computing
Assumption Computational hardness assumption
Lattice problems Lattice problem
NIST
SPHINCS+
Libgcrypt
NIST National Institute of Standards and Technology

History

Miklós Ajtai
Cynthia Dwork
Short integer solutions Short integer solution problem
Worst-case Worst-case complexity
Cryptographic hash function
Jeffrey Hoffstein
Jill Pipher
Joseph H. Silverman
Public-key encryption Public-key cryptography
NTRU NTRUEncrypt
Oded Regev Oded Regev (computer scientist)
Learning with errors
Craig Gentry Craig Gentry (computer scientist)
Fully homomorphic encryption Homomorphic encryption

Mathematical background

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Nodes55

Edges54

Triples22

Avg. degree1.96

Density0.036364

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Lattice-based cryptography

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related to Further reading · 19

Lattice-based cryptography → Advances, Annual International Cryptology Conference, BFb0052231, Crypto, Cryptology, Goldreich, Goldwasser, Halevi, ISBN, Lattice-based, London, Oded, Proceedings, Public-key, Regev, Shafi, Shai, Springer-Verlag, UK

is a · 1

Lattice-based cryptography → generic term for constructions of cryptographic primitives that involve lattices

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Important terminology

lattice-based lattice based nist schemes problem constructions cryptographic security scheme cryptography selected learning known problems errors dilithium public-key encryption standard

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Lattice-based cryptography	is a	generic term for constructions of cryptographic primitives that involve lattices	0.90	text
the RSA	instance of	Unlike more widely used and known public-key schemes	0.80	text
Diffie-Hellman or elliptic-curve cryptosystems	instance of	Unlike more widely used and known public-key schemes	0.80	text
Lattice-based cryptography	related to Further reading	Goldreich	0.60	section
Lattice-based cryptography	related to Further reading	Oded	0.60	section
Lattice-based cryptography	related to Further reading	Goldwasser	0.60	section
Lattice-based cryptography	related to Further reading	Shafi	0.60	section
Lattice-based cryptography	related to Further reading	Halevi	0.60	section
Lattice-based cryptography	related to Further reading	Shai	0.60	section
Lattice-based cryptography	related to Further reading	Public-key	0.60	section
Lattice-based cryptography	related to Further reading	Crypto	0.60	section
Lattice-based cryptography	related to Further reading	Proceedings	0.60	section

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Selected lattice-based schemes

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Selected lattice-based schemes

Security

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Lattice-based cryptography

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Lattice-based cryptography

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Important terminology Word statistics

Important terminology

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