Difference between revisions of "Tables"

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= Known instances of APN functions over <math>\mathbb{F}_{2^n}</math> =
 
= Known instances of APN functions over <math>\mathbb{F}_{2^n}</math> =
== On known families ==
+
== Known families of APN functions ==
 
* [[Known infinite families of APN power functions over GF(2^n)]]
 
* [[Known infinite families of APN power functions over GF(2^n)]]
 
* [[Known infinite families of quadratic APN polynomials over GF(2^n)]]
 
* [[Known infinite families of quadratic APN polynomials over GF(2^n)]]
* [[Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over GF(2^n)]]
 
* [[Some APN functions CCZ-equivalent to x^3 + tr_n(x^9) and CCZ-inequivalent to the Gold functions over GF(2^n)]]
 
  
 
== On known instances in small dimensions ==
 
== On known instances in small dimensions ==
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* [[APN polynomials over GF(2^n) CCZ-inequivalent to quadratic functions]]
 
* [[APN polynomials over GF(2^n) CCZ-inequivalent to quadratic functions]]
 
* [[Lower bounds on APN-distance for all known APN functions]]
 
* [[Lower bounds on APN-distance for all known APN functions]]
 +
 +
== Misceallaneous results ==
 +
* [[Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over GF(2^n)]]
 +
* [[Some APN functions CCZ-equivalent to x^3 + tr_n(x^9) and CCZ-inequivalent to the Gold functions over GF(2^n)]]
  
 
= On other differential uniformities =
 
= On other differential uniformities =
 
* [[:File:a.pdf|Differential uniformity of all 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]]
 
* [[Differentially 4-uniform permutations ]]
 
* [[Differentially 4-uniform permutations ]]

Revision as of 19:29, 9 July 2020

Known instances of APN functions over

Known families of APN functions

On known instances in small dimensions

Power functions

Quadratic functions

Equivalences, inequivalences and invariants

Other instances

Misceallaneous results

On other differential uniformities