Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8

Known switching classes of APN functions over [math]\displaystyle{ \mathbb{F}_{2^5} }[/math], [math]\displaystyle{ \mathbb{F}_{2^6} }[/math], [math]\displaystyle{ \mathbb{F}_{2^7} }[/math] and [math]\displaystyle{ \mathbb{F}_{2^8} }[/math]

[math]\displaystyle{ n }[/math]	[math]\displaystyle{ N^\circ }[/math]	[math]\displaystyle{ F(x) }[/math]
[math]\displaystyle{ 5 }[/math]	[math]\displaystyle{ 1.1 }[/math] [math]\displaystyle{ 1.2 }[/math] [math]\displaystyle{ 2.1 }[/math]	[math]\displaystyle{ x^3 }[/math] [math]\displaystyle{ x^5 }[/math] [math]\displaystyle{ x^{-1} }[/math]

[math]\displaystyle{ n }[/math]	[math]\displaystyle{ N^\circ }[/math]	[math]\displaystyle{ F(x) }[/math]
[math]\displaystyle{ 6 }[/math]	1.1	[math]\displaystyle{ x^{3} }[/math]
	1.2	[math]\displaystyle{ x^{3} + u^{11}x^{6} + ux^{9} }[/math]
	2.1	[math]\displaystyle{ ux^{5} + x^{9} + u^{4}x^{17} + ux^{18} + u^{4}x^{20} + ux^{24} + u^{4}x^{34} + ux^{40} }[/math]
	2.2	[math]\displaystyle{ u^{7}x^{3} + x^{5} + u^{3}x^{9} + u^{4}x^{10} + x^{17} + u^{6}x^{18} }[/math]
	2.3	[math]\displaystyle{ x^{3} + ux^{24} + x^{10} }[/math]
	2.4	[math]\displaystyle{ x^{3} + u^{17}(x^{17} + x^{18} + x^{20} + x^{24}) }[/math]
	2.5	[math]\displaystyle{ x^{3} + u^{11}x^{5} + u^{13}x^{9} + x^{17} + u^{11}x^{33} + x^{48} }[/math]
	2.6	[math]\displaystyle{ u^{25}x^{5} + x^{9} + u^{38}x^{12} + u^{25}x^{18} + u^{25}x^{36} }[/math]
	2.7	[math]\displaystyle{ u^{40}x^{5} + u^{10}x^{6} + u^{62}x^{20} + u^{35}x^{33} + u^{15}x^{34} + u^{29}x^{48} }[/math]
	2.8	[math]\displaystyle{ u^{34}x^{6} + u^{52}x^{9} + u^{48}x^{12} + u^{6}x^{20} + u^{9}x^{33} + u^{23}x^{34} + u^{25}x^{40} }[/math]
	2.9	[math]\displaystyle{ x^{9} + u^{4}(x^{10} + x^{18}) + u^{9}(x^{12} + x^{20} + x^{40}) }[/math]
	2.10	[math]\displaystyle{ u^{52}x^{3} + u^{47}x^{5} + ux^{6} + u^{9}x^{9} + u^{44}x^{12} + u^{47}x^{33} + u^{10}x^{34} + u^{33}x^{40} }[/math]
	2.11	[math]\displaystyle{ u(x^{6} + x^{10} + x^{24} + x^{33}) + x^{9} + u^{4}x^{17} }[/math]
	2.12	[math]\displaystyle{ x^{3} + u^{17}(x^{17} + x^{18} + x^{20} + x^{24}) + u^{14}((u^{52}x^{3} + u^{6}x^{5} + u^{19}x^{7} + u^{28}x^{11} + u^{2}x^{13})+ (u^{52}x^{3} + u^{6}x^{5} + u^{19}x^{7} + u^{28}x^{11} + u^{2}x^{13})^{2} + (u^{52}x^{3} + u^{6}x^{5} + u^{19}x^{7} + u^{28}x^{11} + u^{2}x^{13})^{4}+ (u^{52}x^{3} + u^{6}x^{5} + u^{19}x^{7} + u^{28}x^{11} + u^{2}x^{13})^{8}+ (u^{52}x^{3} + u^{6}x^{5} + u^{19}x^{7} + u^{28}x^{11} + u^{2}x^{13})^{1}6+ (u^{52}x^{3} + u^{6}x^{5} + u^{19}x^{7} + u^{28}x^{11} + u^{2}x^{13})^{3}2+ (u^{2}x)^{9} +(u^{2}x)^{1}8 +(u^{2}x)^{3}6 + x^{21}+x^{42} }[/math]