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Bent function

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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Walsh transform

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Generalizations

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Bent function

Nodes63
Edges62
Triples86
Avg. degree1.97
Density0.031746
Components1

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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

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Important terminology

functions bent function boolean displaystyle linear properties affine possible nonlinearity transform balanced cryptographic value walsh also mathbb nonlinear output known

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bent functionis aBoolean function that is maximally non-linear0.90text
S-boxesinstance ofbent functions might at first seem the ideal choice for secure cryptographic functions0.80text
Bent functionhas applicationAs0.60section
Bent functionhas applicationGold0.60section
Bent functionhas applicationKasami0.60section
Bent functionhas applicationCDMA0.60section
Bent functionhas applicationThese0.60section
Bent functionhas applicationThe0.60section
Bent functionhas applicationBy0.60section
Bent functionhas applicationForré0.60section
Bent functionhas applicationWalsh0.60section
Bent functionhas applicationSAC0.60section

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