Tables - Revision history

Epi062: /* Known families of APN functions */

2024-10-16T09:28:28Z

Known families of APN functions

← Older revision		Revision as of 09:28, 16 October 2024
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	* [[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)]]
			* [[Known infinite families of APN functions]]

	== On known instances in small dimensions ==		== On known instances in small dimensions ==

2023-01-03T16:15:00Z

Permutation Polynomials in even characteristic

← Older revision		Revision as of 16:15, 3 January 2023
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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]]		* [[: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 ]]

	~~= Permutation Polynomials in even characteristic =~~
	* [[Trinomials]]

2022-12-12T13:20:22Z

← Older revision		Revision as of 13:20, 12 December 2022
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	= Permutation Polynomials in even characteristic =		= Permutation Polynomials in even characteristic =
	* [[Trinomials]] *		* [[Trinomials]]

2022-12-12T13:19:46Z

← Older revision		Revision as of 13:19, 12 December 2022
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	= Permutation Polynomials in even characteristic =		= Permutation Polynomials in even characteristic =
	* [[Trinomials]]		* [[Trinomials]] *

2022-12-12T13:19:32Z

← Older revision		Revision as of 13:19, 12 December 2022
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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]]		* [[: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 ]]

			= Permutation Polynomials in even characteristic =
			* [[Trinomials]]

2021-09-01T17:08:17Z

← Older revision		Revision as of 17:08, 1 September 2021
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	=== Other instances ===		=== Other instances ===
	* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]		* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]
			* [[APN functions obtained via polynomial expansion in small dimensions]]
	* [[Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1]]		* [[Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1]]
	* [[APN polynomials over GF(2^n) CCZ-inequivalent to quadratic functions and monomials]]		* [[APN polynomials over GF(2^n) CCZ-inequivalent to quadratic functions and monomials]]

2020-12-03T01:15:41Z

← Older revision		Revision as of 01:15, 3 December 2020
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	* [[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]]
			* [[Sigma multiplicities for APN functions in dimensions up to 10]]
	=== Other instances ===		=== Other instances ===
	* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]		* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]

2020-07-09T19:30:38Z

← Older revision		Revision as of 19:30, 9 July 2020
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	* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]		* [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]]
	* [[Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1]]		* [[Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1]]
	* [[APN polynomials over GF(2^n) CCZ-inequivalent to quadratic functions]]		* [[APN polynomials over GF(2^n) CCZ-inequivalent to quadratic functions and monomials]]
	* [[Lower bounds on APN-distance for all known APN functions]]		* [[Lower bounds on APN-distance for all known APN functions]]

2020-07-09T18:32:24Z

← Older revision		Revision as of 18:32, 9 July 2020
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	* [[Known instances of APN functions over GF(2^8)]]		* [[Known instances of APN functions over GF(2^8)]]
	=== Equivalences, inequivalences and invariants ===		=== Equivalences, inequivalences and invariants ===
			* [[CCZ-inequivalent representatives from the known APN families for dimensions up to 11]]
	* [[Walsh spectra of all known APN functions over GF(2^8)]]		* [[Walsh spectra of all known APN functions over GF(2^8)]]
	* [[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)]]
	* [[CCZ-invariants for all known APN functions in dimension 7]]		* [[CCZ-invariants for all known APN functions in dimension 7]]

2020-07-09T17:57:25Z

← Older revision		Revision as of 17:57, 9 July 2020
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	* [[:File:inv.pdf\|Inverses of known APN power permutations over GF(2^n) with n less than or equal to 129]]		* [[:File:inv.pdf\|Inverses of known APN power permutations over GF(2^n) with n less than or equal to 129]]
	=== Quadratic functions ===		=== Quadratic functions ===
	* [[Known ~~quadratic~~ APN ~~polynomial~~ functions over GF(2^7)]]		* [[Known instances of APN functions over GF(2^7)]]
	* [[Known ~~quadratic APN polynomial functions over GF(2^8)]]~~		* [[Known instances of APN functions over GF(2^8)]]
	* [[Walsh spectra of ~~quadratic~~ APN functions over GF(2^8)]]
	=== Equivalences, inequivalences and invariants ===		=== Equivalences, inequivalences and invariants ===
			* [[Walsh spectra of all known APN functions over GF(2^8)]]
	* [[CCZ-inequivalent APN functions from the known APN classes over GF(2^n) (for n between 6 and 11)]]		* [[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)]]