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Bent function: Applications, Definition and properties & Overview
In the mathematical field of combinatorics, a bent function is a Boolean function that is maximally non-linear; it is as different as possible from the set of all linear and affine functions when measured by Hamming distance between truth tables. Concretely, this means the maximum correlation between the output of the function and a linear function is…
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Bent function topic overview
The analysis highlights Applications, Definition and properties and Overview as prominent areas in the source structure around Bent function.
Related topics
57
Source areas
5
Connected nodes
62
Extracted relationships
86
Concept neighborhoods
19
Bridge connections
62
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.
Applications · 21 topics
Overview · 17 topics
Definition and properties · 13 topics
Generalizations · 4 topics
Walsh transform · 2 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.
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Explore all related topics Closing gaps
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.
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.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
How Bent function connects Entity context
Entity context groups extracted connections by relationship type. Counts show recurrence in the analyzed source; the examples are research signals, not claims about importance.
The extracted context around Bent function shows recurring relationship patterns in the source. For example, Bent function → Academic Press, Applications, Australasian Journal, Bent Functions, Carlet, Charles, Cite, CiteSeerX, Colbourn, Combinatorial Designs, Combinatorics, Constructions, CRC Press, Cryptographic Boolean Functions, Cusick, Dinitz, Eurocrypt, Handbook, ISBN, ISSN Another extracted example is Bent function → As, Boolean, By, CDMA, Forré, Furthermore, Gold, In, Indeed, Kasami, S-boxes, SAC, The, These, This, Walsh. Use these groups to spot repeated connection types before inspecting the individual relationships.
Bent function
Top relations
related to Further reading· 28
Bent function → Academic Press, Applications, Australasian Journal, Bent Functions, Carlet, Charles, Cite, CiteSeerX, Colbourn, Combinatorial Designs, Combinatorics, Constructions, CRC Press, Cryptographic Boolean Functions, Cusick, Dinitz, Eurocrypt, Handbook, ISBN, ISSN
has application· 16
Bent function → As, Boolean, By, CDMA, Forré, Furthermore, Gold, In, Indeed, Kasami, S-boxes, SAC, The, These, This, Walsh
related to Constructions· 14
Bent function → Canteaut, Charpin, Combinatorial, Dillon, Dillon's, Dobbertin's, Gold, Kasami, Kuyreghyan, Leander, Maiorana, McFarland, Niho, There
related to Generalizations· 9
Bent function → Abelian, Boolean, G-bent, More, Schmidt, The, There, Tokareva's, Z-bent
related to Walsh transform· 9
Bent function → Alternatively, Bent, Boolean, S0, S1, The Walsh, Then, Walsh, Zn
related to Definition and properties· 8
Bent function → Bent, Boolean, In, Rothaus, The, This, Walsh, Zn
is a· 1
Bent function → Boolean function that is maximally non-linear
Important terminology
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.
Bent function relationships Subject–Predicate–Object triples
Relationships are represented as Subject → Predicate → Object triples. Confidence describes extraction strength, not the real-world importance of a relationship; lower-confidence rows may be contextual rather than explicit.
TTTA extracted 86 structured relationships around Bent function. Examples in this analysis include Bent function → is a → Boolean function that is maximally non-linear and S-boxes → instance of → bent functions might at first seem the ideal choice for secure cryptographic functions. The table shows each extracted connection, where it came from and its confidence.
Subject
Predicate
Object
Confidence
Src
Bent function
is a
Boolean function that is maximally non-linear
0.90
text
S-boxes
instance of
bent functions might at first seem the ideal choice for secure cryptographic functions
0.80
text
Bent function
has application
As
0.60
section
Bent function
has application
Gold
0.60
section
Bent function
has application
Kasami
0.60
section
Bent function
has application
CDMA
0.60
section
Bent function
has application
These
0.60
section
Bent function
has application
The
0.60
section
Bent function
has application
By
0.60
section
Bent function
has application
Forré
0.60
section
Bent function
has application
Walsh
0.60
section
Bent function
has application
SAC
0.60
section
No triples extracted yet.
Related concept clusters Concept neighborhoods
Concept neighborhoods group terms that sit near one another in the extracted graph. They are useful for discovering adjacent language and context, but proximity does not by itself imply a factual relationship.
The concept neighborhoods around Bent function bring nearby vocabulary together. In this analysis, examples include Functions, Function and Boolean. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
Bent function
Functions
Function
Boolean
Properties
2n
Hat
Nonlinearity
Transform
Displaystyle
Output
Value
Zn
bent function
Functions
Function
Displaystyle
Linear
Value
Boolean
Properties
2n
Hat
Mathbb
Nonlinearity
Transform
boolean function
Function
Value
Displaystyle
Field
Linear
2n
Functions
Balanced
Transform
Hat
Affine
Cryptographic
affine functions
2n
Linear
Function
Field
Number
Properties
Boolean
Nonlinearity
Possible
Value
Cryptographic
Displaystyle
cryptographic hash function
Good
Displaystyle
Linear
Many
Value
2n
Hat
Mathbb
Nonlinearity
Possible
Transform
Properties
balanced
Cryptographic
Good
Boolean
Possible
Value
Function
Bent
Combinatorial
Cryptanalysis
Field
Generalizations
Many
linear cryptanalysis
Cryptanalysis
Linear
Possible
Output
Function
Good
Nonlinearity
Value
Called
Cryptographic
Nonlinear
Zn
linear
Cryptanalysis
Possible
Output
Called
Nonlinear
Zn
2n
Good
Hat
Nonlinearity
Transform
Value
Connections between topic areas Semantic bridges
Semantic bridges connect parts of the graph that would otherwise be more separate. A bridge is a structural signal in this analysis, not a claim that the two topic areas are equivalent.
For Bent function, one of the stronger structural bridges in this analysis connects Bent function with Applications. 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
Bent function — Applications· splits 41 ⟂ 22Bent function — Overview· splits 45 ⟂ 18Bent function — Definition and properties· splits 49 ⟂ 14Bent function — Generalizations· splits 58 ⟂ 5Bent function — Walsh transform· splits 60 ⟂ 3
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.
Bent function
Nodes63
Edges62
Triples86
Avg. degree1.97
Density0.031746
Components1
Source & methodology
TTTA analyzes the structure around Bent function to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications, Definition and properties & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
