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Ring learning with errors

In post-quantum cryptography, ring learning with errors (RLWE) is a computational problem which serves as the foundation of new cryptographic algorithms, such as NewHope, designed to protect against cryptanalysis by quantum computers and also to provide the basis for homomorphic encryption. Public-key cryptography relies on construction of mathematical…

Background, Overview & RLWE cryptography

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Overview

Background

Security reduction

RLWE cryptography

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Map overview Semantic statistics

Ring learning with errors

Nodes31
Edges30
Triples18
Avg. degree1.94
Density0.064516
Components1

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Ring learning with errors

Top relations

related to Ring learning with errors signature (RLWE-SIG) · 12
Ring learning with errors → Embedded Systems, Feige, Fiat, Gunesyu, Lyubashevsky, Popplemann, Practical Lattice Based Cryptography, RLWE, Shamir Identification, Signature Scheme, The, These
related to background · 6
Ring learning with errors → As, Integer, It, RLWE, RSA, The

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Important terminology

rlwe problem displaystyle polynomial polynomials ring cryptography mathbf phi key errors learning coefficients used security textstyle small finite integer public

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ring learning with errorsrelated to backgroundThe0.60section
Ring learning with errorsrelated to backgroundIt0.60section
Ring learning with errorsrelated to backgroundAs0.60section
Ring learning with errorsrelated to backgroundInteger0.60section
Ring learning with errorsrelated to backgroundRSA0.60section
Ring learning with errorsrelated to backgroundRLWE0.60section
Ring learning with errorsrelated to Ring learning with errors signature (RLWE-SIG)RLWE0.60section
Ring learning with errorsrelated to Ring learning with errors signature (RLWE-SIG)Feige0.60section
Ring learning with errorsrelated to Ring learning with errors signature (RLWE-SIG)Fiat0.60section
Ring learning with errorsrelated to Ring learning with errors signature (RLWE-SIG)Shamir Identification0.60section
Ring learning with errorsrelated to Ring learning with errors signature (RLWE-SIG)Lyubashevsky0.60section
Ring learning with errorsrelated to Ring learning with errors signature (RLWE-SIG)The0.60section

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