CCZ-inequivalent representatives from the known APN families for dimensions up to 11

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CCZ-inequivalent APN Functions over [math]\displaystyle{ \mathbb{F}_{2^n} }[/math] from the Known APN Classes for [math]\displaystyle{ 6\leqslant n \leqslant 11 }[/math]


[math]\displaystyle{ N^\circ }[/math] Fanctions Equivalent to
[math]\displaystyle{ 6.1 }[/math]

[math]\displaystyle{ 6.2 }[/math]

[math]\displaystyle{ 6.3 }[/math]
[math]\displaystyle{ x^3 }[/math]

[math]\displaystyle{ x^{24}+ax{17}+a^8x{10}+ax^9+x^3 }[/math]

[math]\displaystyle{ ax^3+x^{17}+a^4x^{24} }[/math]
[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ C3 }[/math]

[math]\displaystyle{ C7-C9 }[/math]
[math]\displaystyle{ 7.1 }[/math]

[math]\displaystyle{ 7.2 }[/math]

[math]\displaystyle{ 7.3 }[/math]

[math]\displaystyle{ 7.4 }[/math]

[math]\displaystyle{ 7.5 }[/math]

[math]\displaystyle{ 7.6 }[/math]

[math]\displaystyle{ 7.7 }[/math]
[math]\displaystyle{ x^3 }[/math]

[math]\displaystyle{ x^5 }[/math]

[math]\displaystyle{ x^9 }[/math]

[math]\displaystyle{ x^{13} }[/math]

[math]\displaystyle{ x^{57} }[/math]

[math]\displaystyle{ x^{63} }[/math]

[math]\displaystyle{ x^3+Tr_7(x^9) }[/math]
[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Inverse }[/math]

[math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ 8.1 }[/math]

[math]\displaystyle{ 8.2 }[/math]

[math]\displaystyle{ 8.3 }[/math]

[math]\displaystyle{ 8.4 }[/math]

[math]\displaystyle{ 8.5 }[/math]

[math]\displaystyle{ 8.6 }[/math]

[math]\displaystyle{ 8.7 }[/math]
[math]\displaystyle{ x^3 }[/math]

[math]\displaystyle{ x^9 }[/math]

[math]\displaystyle{ x^{57} }[/math]

[math]\displaystyle{ x^3+x^{17}+p^{48}x^{18}+p^3x^{33}+px^{34}+x^{48} }[/math]

[math]\displaystyle{ x^3+Tr_8(x^9) }[/math]

[math]\displaystyle{ x^3+a-1Tr_8(a^3x^9) }[/math]

[math]\displaystyle{ a(x+x^{16})(ax+a^{16}x^{16})+a^{17}(ax+a^{16}x^{16})^{12} }[/math]
[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ C3 }[/math]

[math]\displaystyle{ C4 }[/math]

[math]\displaystyle{ C4 }[/math]

[math]\displaystyle{ C10 }[/math]
[math]\displaystyle{ 9.1 }[/math]

[math]\displaystyle{ 9.2 }[/math]

[math]\displaystyle{ 9.3 }[/math]

[math]\displaystyle{ 9.4 }[/math]

[math]\displaystyle{ 9.5 }[/math]

[math]\displaystyle{ 9.6 }[/math]

[math]\displaystyle{ 9.7 }[/math]

[math]\displaystyle{ 9.8 }[/math]

[math]\displaystyle{ 9.9 }[/math]

[math]\displaystyle{ 9.10 }[/math]

[math]\displaystyle{ 9.11 }[/math]
[math]\displaystyle{ x^3 }[/math]

[math]\displaystyle{ x^5 }[/math]

[math]\displaystyle{ x^{17} }[/math]

[math]\displaystyle{ x^{13} }[/math]

[math]\displaystyle{ x^{241} }[/math]

[math]\displaystyle{ x^{19} }[/math]

[math]\displaystyle{ x^{255} }[/math]

[math]\displaystyle{ x^3+Tr_9(x^9) }[/math]

[math]\displaystyle{ x^3+Tr^3_9(x^9+x^{18}) }[/math]

[math]\displaystyle{ x^3+Tr^3_9(x^{18}+x^{36}) }[/math]

[math]\displaystyle{ x^3+a^{246}x^{10}+a^{47}x^{17}+a^{181}x^{66}+a^{428}x^{129} }[/math]
[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Welch }[/math]

[math]\displaystyle{ Inverse }[/math]

[math]\displaystyle{ C4 }[/math]

[math]\displaystyle{ C5 }[/math]

[math]\displaystyle{ C6 }[/math]

[math]\displaystyle{ C11 }[/math]
[math]\displaystyle{ 10.1 }[/math]

[math]\displaystyle{ 10.2 }[/math]

[math]\displaystyle{ 10.3 }[/math]

[math]\displaystyle{ 10.4 }[/math]

[math]\displaystyle{ 10.5 }[/math]

[math]\displaystyle{ 10.6 }[/math]

[math]\displaystyle{ 10.7 }[/math]

[math]\displaystyle{ 10.8 }[/math]
[math]\displaystyle{ 10.1 }[/math]

[math]\displaystyle{ x^3 }[/math]

[math]\displaystyle{ x^9 }[/math]

[math]\displaystyle{ x^{57} }[/math]

[math]\displaystyle{ x^{339} }[/math]

[math]\displaystyle{ x^6+x^{33}+p^{31}x^{192} }[/math]

[math]\displaystyle{ x^{3}+x^{72}+p^{31}x^{258} }[/math]

[math]\displaystyle{ x^3+Tr_{10}(x^9) }[/math]

[math]\displaystyle{ x^3+a^{-1}Tr_{10}(a^3x^9) }[/math]
[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Dobbertin }[/math]

[math]\displaystyle{ C3 }[/math]

[math]\displaystyle{ C3 }[/math]

[math]\displaystyle{ C4 }[/math]

[math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ 11.1 }[/math]

[math]\displaystyle{ 11.2 }[/math]

[math]\displaystyle{ 11.3 }[/math]

[math]\displaystyle{ 11.4 }[/math]

[math]\displaystyle{ 11.5 }[/math]

[math]\displaystyle{ 11.6 }[/math]

[math]\displaystyle{ 11.7 }[/math]

[math]\displaystyle{ 11.8 }[/math]

[math]\displaystyle{ 11.9 }[/math]

[math]\displaystyle{ 11.10 }[/math]

[math]\displaystyle{ 11.11 }[/math]

[math]\displaystyle{ 11.12 }[/math]

[math]\displaystyle{ 11.13 }[/math]
[math]\displaystyle{ x^3 }[/math]

[math]\displaystyle{ x^5 }[/math]

[math]\displaystyle{ x^9 }[/math]

[math]\displaystyle{ x^{17} }[/math]

[math]\displaystyle{ x^{33} }[/math]

[math]\displaystyle{ x^{13} }[/math]

[math]\displaystyle{ x^{57} }[/math]

[math]\displaystyle{ x^{241} }[/math]

[math]\displaystyle{ x^{993} }[/math]

[math]\displaystyle{ x^{35} }[/math]

[math]\displaystyle{ x^{287} }[/math]

[math]\displaystyle{ x^{123} }[/math]

[math]\displaystyle{ x^3+Tr_{11}(x^9) }[/math]
[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Gold }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Kasami }[/math]

[math]\displaystyle{ Welch }[/math]

[math]\displaystyle{ Niho }[/math]

[math]\displaystyle{ Inverse }[/math]

[math]\displaystyle{ C4 }[/math]