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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]












Dimension Functions Equivalent to
[math]\displaystyle{ 6 }[/math] [math]\displaystyle{ x^{24}+ax^{17}+a^8x^{10}+ax^9+x^3 }[/math] [math]\displaystyle{ C3 }[/math]
[math]\displaystyle{ ax^3+x^{17}+a^4x^{24} }[/math] [math]\displaystyle{ C7-C9 }[/math]
[math]\displaystyle{ 7 }[/math] [math]\displaystyle{ x^3+Tr_7(x^9) }[/math] [math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ 8 }[/math] [math]\displaystyle{ x^3+x^{17}+p^{48}x^{18}+p^3x^{33}+px^{34}+x^{48} }[/math] [math]\displaystyle{ C3 }[/math]
[math]\displaystyle{ x^3+Tr_8(x^9) }[/math] [math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ x^3+a^{-1}Tr_8(a^3x^9) }[/math] [math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ a(x+x^{16})(ax+a^{16}x^{16})+a^{17}(ax+a^{16}x^{16})^{12} }[/math] [math]\displaystyle{ C10 }[/math]
[math]\displaystyle{ 9 }[/math] [math]\displaystyle{ x^3+Tr_9(x^9) }[/math] [math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ x^3+Tr^3_9(x^9+x^{18}) }[/math] [math]\displaystyle{ C5 }[/math]
[math]\displaystyle{ x^3+Tr^3_9(x^{18}+x^{36}) }[/math] [math]\displaystyle{ C6 }[/math]
[math]\displaystyle{ x^3+a^{246}x^{10}+a^{47}x^{17}+a^{181}x^{66}+a^{428}x^{129} }[/math] [math]\displaystyle{ C11 }[/math]
[math]\displaystyle{ 10 }[/math] [math]\displaystyle{ x^6+x^{33}+p^{31}x^{192} }[/math] [math]\displaystyle{ C3 }[/math]
[math]\displaystyle{ x^{3}+x^{72}+p^{31}x^{258} }[/math] [math]\displaystyle{ C3 }[/math]
[math]\displaystyle{ x^3+Tr_{10}(x^9) }[/math] [math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ x^3+a^{-1}Tr_{10}(a^3x^9) }[/math] [math]\displaystyle{ C4 }[/math]
[math]\displaystyle{ 11 }[/math] [math]\displaystyle{ x^3+Tr_{11}(x^9) }[/math] [math]\displaystyle{ C4 }[/math]