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Topic orientation
Post-quantum cryptography at a glance
The strongest research directions include Algorithms and Implementation. Use the connected concepts below as starting points, not as a keyword checklist.
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Explore the main themes, entities and connections around Post-quantum cryptography. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.
Algorithms
Learning with errorsRing learning with errorsRing-LWERing learning with errors key exchangeRing learning with errors signature
36 related topics
Implementation
21 related topics
Security reductions
11 related topics
Overview
20 related topics
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Topics to explore
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.Browse the full topic structure. Each item opens a new analysis centered on that subject.
Overview
- Cryptographic algorithms Cryptographic primitive
- Public-key Public-key cryptosystem
- Cryptanalytic attack
- Quantum computer Quantum computing
- Integer factorization problem
- Discrete logarithm problem
- Elliptic-curve discrete logarithm problem
- Shor's algorithm
- Processing power
- Y2Q
- Mosca's theorem
- Conference Academic conference
- European Telecommunications Standards Institute ETSI
- Institute for Quantum Computing
- Harvest now, decrypt later
- Symmetric cryptographic algorithms Symmetric cipher
- Hash functions Hash function
- Grover's algorithm
- National Institute of Standards and Technology
- Post-Quantum Cryptography Standards NIST Post-Quantum Cryptography Standardization
Preparation
- Classical computers Classical computer
Algorithms
- Learning with errors
- Ring learning with errors
- Ring-LWE Ideal lattice cryptography
- Ring learning with errors key exchange
- Ring learning with errors signature
- NTRU
- GGH GGH encryption scheme
- Newer NTRU signature NTRUSign
- BLISS signatures BLISS signature scheme
- ML-KEM
- Unbalanced Oil and Vinegar
- Lamport signatures Lamport signature
- Merkle signature scheme
- SPHINCS+
- Ralph Merkle
- Johannes Buchmann
- Moni Naor
- Moti Yung
- UOWHF
- Error-correcting codes Error-correcting code
- McEliece McEliece cryptosystem
- Courtois, Finiasz and Sendrier Signature Niederreiter cryptosystem
- Goppa codes Binary Goppa code
- European Commission
- Isogeny
- Elliptic curves Elliptic curve
- Abelian varieties Abelian variety
- Supersingular isogeny graphs Supersingular isogeny graph
- Diffie–Hellman Diffie–Hellman key exchange
- Elliptic curve Diffie–Hellman
Security reductions
- Ring-LWE Ring Learning with Errors
- Closest vector problem (CVP) Lattice problem
- NP-hard
- NTRU NTRUEncrypt
- NP-hard NP-hardness
- Cryptographic Cryptography
- Multivariate polynomials Polynomial
- Finite field
- Multivariate quadratic equation solving problem Multivariate quadratic equation solving problem?action=edit&redlink=1
- Merkle Hash Tree
- Merkle tree
Comparison
Forward secrecy
Open Quantum Safe project
Implementation
- Microsoft Research
- PKI Public key infrastructure
- HSM Hardware security module
- Google's Google
- NewHope
- FIDO2
- ECC Elliptic Curve Digital Signature Algorithm
- ETH Zürich ETH Zurich
- Signal Protocol
- Post-Quantum Extended Diffie–Hellman
- Apple Apple Inc.
- IMessage
- Internet Engineering Task Force
- Messaging Layer Security
- RCS Rich Communication Services
- Google Messages
- Messages (Apple)
- Bouncycastle Bouncy Castle (cryptography)
- Optical chaos
- OSNR Optical signal-to-noise ratio
- Daniel J. Bernstein
Criticisms
- Polynomial time Polynomial-time reduction
- Stephen Wolfram
- RSA-2048
- Edward Snowden
- NSA National Security Agency
- Bruce Schneier
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 this topic connects Entity context
Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.See the strongest relationship patterns around the current topic before diving into the raw triples.
Post-quantum cryptography
Top relations
related to Further reading · 232
Post-quantum cryptography → Abhisweta, Agrawal, Ahateshaam, Albrecht, Alexander, Anil Kumar, Ankit, APL Quantum, Applications, Approaching Storm, Archived, Art, Ashutosh, Bagirovs, Balvinder, Bavdekar, Bernstein, Bertram, Bharat, Bhatia
related to Lattice-based cryptography · 20
Post-quantum cryptography → At, BLISS, Dilithium, European Commission, GGH, Group, Kyber, LWE, ML-DSA, ML-KEM, NIST, NTRU, Others, Some, Stehle, Steinfeld, Studies, The Post-Quantum Cryptography Study, This, Two
related to Implementation · 17
Post-quantum cryptography → ECC/Dilithium, ETH Zürich, FIDO2, Google, Google's NewHope, Hardware, Hellman, HSM, In August, Microsoft Research, PICNIC, PKI, Post-Quantum Extended Diffie, PQXDH, Test, The Signal Protocol, There
related to Code-based cryptography – McEliece · 16
Post-quantum cryptography → Cryptography Study, European Commission, For, GF, Goppa, Group, McEliece, NP-hard, Quasi-cyclic MDPC, SDP, The, The European Commission's Post-Quantum, The McEliece Encryption System, The Post-Quantum Cryptography Study, The SDP, With
related to Code-based cryptography · 15
Post-quantum cryptography → Courtois, European Commission, Finiasz, Goppa, Group, However, HQC, In, McEliece, Niederreiter, NIST, Sendrier Signature, The, The Post-Quantum Cryptography Study, This
related to Hybrid encryption · 15
Post-quantum cryptography → Apple's PQ3, Bernstein, Daniel, FIDO2, GCHQ, Google, One, PQ, PQ X25519, Signal's PQXDH, SIKE, The NSA, This, TLS, Y2Q
related to Comparison · 11
Post-quantum cryptography → From, Goppa-based McEliece, MB, MDPC-based McEliece, NTRU, On, One, Ring-LWE, SIDH, The, There
related to Lattice-based cryptography – NTRU, BLISS · 11
Post-quantum cryptography → BLISS, CVP, European Commission, Group, NP-hard, NTRU, Stehle, Steinfeld, The, The CVP, The Post-Quantum Cryptography Study
related to Criticisms · 9
Post-quantum cryptography → Additionally, However, IBM, In, Other, Post-quantum, Shor's, These, While
related to External links · 9
Post-quantum cryptography → Common Encryption AlgorithmsDilithium, DeploymentVulnerability Score, Excel, Post-Quantum, PQCrypto, ProjectPQCrypto Usage, Quantum Secure Standards EffortNIST's, SPHINCS, Tim Wambach
Important terminology Word statistics
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
Important terminology
cryptography quantum post-quantum key security algorithms cryptographic signature scheme bits used encryption public mceliece algorithm doi also systems computers based
Entity relationships Subject–Predicate–Object triples
Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Post-quantum cryptography | is a | implementation of potentially quantum safe algorithms into existing systems | 0.90 | text |
| learning with errors | instance of | Lattice-based cryptographyThis approach includes cryptographic systems | 0.80 | text |
| ring learning with errors | instance of | Lattice-based cryptographyThis approach includes cryptographic systems | 0.80 | text |
| the Unbalanced Oil | instance of | were among the first post-quantum algorithms standardised by NIST.Multivariate cryptographyThis includes cryptographic systems | 0.80 | text |
| Vinegar signature scheme which is based on the difficulty of solving systems of multivariate equations | instance of | were among the first post-quantum algorithms standardised by NIST.Multivariate cryptographyThis includes cryptographic systems | 0.80 | text |
| Lamport signatures | instance of | notably the Rainbow signature.Hash-based cryptographyThis includes cryptographic systems | 0.80 | text |
| the Merkle signature scheme | instance of | notably the Rainbow signature.Hash-based cryptographyThis includes cryptographic systems | 0.80 | text |
| the XMSS | instance of | notably the Rainbow signature.Hash-based cryptographyThis includes cryptographic systems | 0.80 | text |
| the SPHINCS | instance of | notably the Rainbow signature.Hash-based cryptographyThis includes cryptographic systems | 0.80 | text |
| the WOTS | instance of | notably the Rainbow signature.Hash-based cryptographyThis includes cryptographic systems | 0.80 | text |
| the Unbalanced Oil | instance of | Multivariate cryptographyThis includes cryptographic systems | 0.80 | text |
| Vinegar signature scheme which is based on the difficulty of solving systems of multivariate equations | instance of | Multivariate cryptographyThis includes cryptographic systems | 0.80 | text |
No triples extracted yet.
Related concept clusters Concept neighborhoods
Clusters of nearby vocabulary surrounding the topic. Scan them for adjacent concepts and language you may have missed.These clusters group vocabulary that occurs around closely connected concepts in the source material.
Connections between topic areas Semantic bridges
Bridge nodes connect otherwise separate parts of the map. Expand a row to inspect the topic groups on each side.Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.Post-quantum cryptography
Nodes110
Edges109
Triples401
Avg. degree1.98
Density0.018182
Components1
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