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Lattice-based cryptography: History & Standards

Lattice-based cryptography is the generic term for constructions of cryptographic primitives that involve lattices, either in the construction itself or in the security proof. Lattice-based constructions support important standards of post-quantum cryptography. Unlike more widely used and known public-key schemes such as the RSA, Diffie-Hellman or…

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Lattice-based cryptography topic overview

The analysis highlights History and Standards as prominent areas in the source structure around Lattice-based cryptography.

Related topics
48
Source areas
6
Connected nodes
54
Extracted relationships
22
Concept neighborhoods
22
Bridge connections
54

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

History · 14 topics
Overview · 14 topics
Selected lattice-based schemes · 9 topics
Mathematical background · 4 topics
Security · 4 topics
Functionality · 3 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

History

Mathematical background

Selected lattice-based schemes

Security

Functionality

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Lattice-based cryptography connects Entity context

The extracted context around Lattice-based cryptography shows recurring relationship patterns in the source. For example, 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 Another extracted example is Lattice-based cryptography → generic term for constructions of cryptographic primitives that involve lattices. Use these groups to spot repeated connection types before inspecting the individual relationships.

Lattice-based cryptography

Top relations

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

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

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

Lattice-based cryptography relationships Subject–Predicate–Object triples

TTTA extracted 22 structured relationships around Lattice-based cryptography. Examples in this analysis include Lattice-based cryptography → is a → generic term for constructions of cryptographic primitives that involve lattices and the RSA → instance of → Unlike more widely used and known public-key schemes. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Lattice-based cryptographyis ageneric term for constructions of cryptographic primitives that involve lattices0.90text
the RSAinstance ofUnlike more widely used and known public-key schemes0.80text
Diffie-Hellman or elliptic-curve cryptosystemsinstance ofUnlike more widely used and known public-key schemes0.80text
Lattice-based cryptographyrelated to Further readingGoldreich0.60section
Lattice-based cryptographyrelated to Further readingOded0.60section
Lattice-based cryptographyrelated to Further readingGoldwasser0.60section
Lattice-based cryptographyrelated to Further readingShafi0.60section
Lattice-based cryptographyrelated to Further readingHalevi0.60section
Lattice-based cryptographyrelated to Further readingShai0.60section
Lattice-based cryptographyrelated to Further readingPublic-key0.60section
Lattice-based cryptographyrelated to Further readingCrypto0.60section
Lattice-based cryptographyrelated to Further readingProceedings0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Lattice-based cryptography bring nearby vocabulary together. In this analysis, examples include Schemes, Known and Security. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Lattice-based cryptography
    • Schemes
    • Known
    • Security
    • Constructions
    • Public-key
    • Lattice-based
    • Signature
    • Certain
    • Digital
    • Many
    • Worst-case
    • Lattice
  • lattice-based cryptography
    • Post-quantum
    • Schemes
    • Known
    • Public-key
    • Security
    • Constructions
    • Lattice-based
    • Signature
    • Certain
    • Digital
    • Many
    • Worst-case
  • cryptographic primitives
    • Primitives
    • Lattice-based
    • Certain
    • Known
    • Many
    • Hardness
    • Problems
    • Security
    • Worst-case
    • Schemes
    • Hard
    • Homomorphic
  • lattice problems
    • Problems
    • Problem
    • Worst-case
    • Basis
    • Homomorphic
    • Hardness
    • Hard
    • Schemes
    • Encryption
    • Public-key
    • Lattice-based
    • Based
  • cryptographic hash function
    • Primitives
    • Lattice-based
    • Certain
    • Known
    • Many
    • Hardness
    • Problems
    • Security
    • Worst-case
    • Schemes
    • Hard
    • Homomorphic
  • public-key encryption
    • Homomorphic
    • Scheme
    • Encryption
    • Public-key
    • Problem
    • Post-quantum
    • Hardness
    • Key
    • Selected
    • Worst-case
    • Purpose
    • Schemes
  • fully homomorphic encryption
    • Homomorphic
    • Scheme
    • Key
    • Public-key
    • Problem
    • Lattice
    • Selected
    • Worst-case
    • Problems
    • Purpose
    • Schemes
    • Hardness
  • ggh encryption scheme
    • Homomorphic
    • Scheme
    • Public-key
    • Problem
    • Key
    • Selected
    • Worst-case
    • Purpose
    • Schemes
    • Hardness
    • Lattice
    • Problems

Connections between topic areas Semantic bridges

For Lattice-based cryptography, one of the stronger structural bridges in this analysis connects Lattice-based cryptography with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Lattice-based cryptographyOverview · splits 40 ⟂ 15
Lattice-based cryptographyHistory · splits 40 ⟂ 15
Lattice-based cryptographySelected lattice-based schemes · splits 45 ⟂ 10
Lattice-based cryptographyMathematical background · splits 50 ⟂ 5
Lattice-based cryptographySecurity · splits 50 ⟂ 5
Lattice-based cryptographyFunctionality · splits 51 ⟂ 4

Map overview Semantic statistics

Lattice-based cryptography

Nodes55
Edges54
Triples22
Avg. degree1.96
Density0.036364
Components1

Source & methodology

TTTA analyzes the structure around Lattice-based cryptography to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History & Standards, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Lattice-based cryptography · EN edition · Analysis: TopicsToTalkAbout

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