Difference between revisions of "Tables"

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== Known instances of APN functions over <math>\mathbb{F}_{2^n}</math> ==
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= Known instances of APN functions over <math>\mathbb{F}_{2^n}</math> =
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== On known families ==
 
* [[Known infinite families of APN power functions over GF(2^n)]]
 
* [[Known infinite families of APN power functions over GF(2^n)]]
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* [[Known infinite families of quadratic APN polynomials over GF(2^n)]]
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* [[Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over GF(2^n)]]
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* [[Some APN functions CCZ-equivalent to x^3 + tr_n(x^9) and CCZ-inequivalent to the Gold functions over GF(2^n)]]
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== On known instances in small dimensions ==
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=== Power functions ===
 
* [[:File:1-7c.pdf|Known APN power functions over GF(2^n) with n less than or equal to 13]]
 
* [[:File:1-7c.pdf|Known APN power functions over GF(2^n) with n less than or equal to 13]]
* [[:File:a.pdf|Differential uniformity of all power functions over GF(2^n) with n less than or equal to 13]]
 
 
* [[:File:inv.pdf|Inverses of APN power permutations over GF(2^n) with n less than or equal to 129]]
 
* [[:File:inv.pdf|Inverses of APN power permutations over GF(2^n) with n less than or equal to 129]]
* [[Known infinite families of quadratic APN polynomials over GF(2^n)]]
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=== Quadratic functions ===
* [[Unclassified instances of APN polynomials over GF(2^n)]]
 
* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]
 
* [[CCZ-inequivalent APN functions from the known APN classes over GF(2^n) (for n between 6 and 11)]]
 
 
* [[Known quadratic APN polynomial functions over GF(2^7)]]
 
* [[Known quadratic APN polynomial functions over GF(2^7)]]
 
* [[Known quadratic APN polynomial functions over GF(2^8)]]
 
* [[Known quadratic APN polynomial functions over GF(2^8)]]
 
* [[Walsh spectra of quadratic APN functions over GF(2^8)]]
 
* [[Walsh spectra of quadratic APN functions over GF(2^8)]]
* [[Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over GF(2^n)]]
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=== Equivalences, inequivalences and invariants ===
* [[Some APN functions CCZ-equivalent to x^3 + tr_n(x^9) and CCZ-inequivalent to the Gold functions over GF(2^n)]]
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* [[CCZ-inequivalent APN functions from the known APN classes over GF(2^n) (for n between 6 and 11)]]
 
* [[CCZ-equivalence of Families of APN Polynomials over GF(2^n) from the table (for n between 6 and 11)]]
 
* [[CCZ-equivalence of Families of APN Polynomials over GF(2^n) from the table (for n between 6 and 11)]]
* [[Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1]]
 
* [[Differentially 4-uniform permutations ]]
 
 
* [[CCZ-invariants for all known APN functions in dimension 7]]
 
* [[CCZ-invariants for all known APN functions in dimension 7]]
 
* [[CCZ-invariants for all known APN functions in dimension 8]]
 
* [[CCZ-invariants for all known APN functions in dimension 8]]
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=== Other instances ===
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* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]
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* [[Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1]]
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* [[Unclassified instances of APN polynomials over GF(2^n)]]
 
* [[Lower bounds on APN-distance for all known APN functions]]
 
* [[Lower bounds on APN-distance for all known APN functions]]
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= On other differential uniformities =
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* [[:File:a.pdf|Differential uniformity of all power functions over GF(2^n) with n less than or equal to 13]]
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* [[Differentially 4-uniform permutations ]]

Revision as of 16:10, 5 November 2019

Known instances of APN functions over

On known families

On known instances in small dimensions

Power functions

Quadratic functions

Equivalences, inequivalences and invariants

Other instances

On other differential uniformities