APN functions obtained via polynomial expansion in small dimensions

ID	Representative	Equivalent to	Orthoderivative diff. spec.
8.1	[math]\displaystyle{ \alpha^{170}x^{192} + \alpha^{85}x^{132} + x^6 + x^3 }[/math]	SW 19	[math]\displaystyle{ 0^{37872}, 2^{22788}, 4^{4068}, 6^{492}, 8^{60} }[/math]
8.2	[math]\displaystyle{ x^{66} + \alpha^{85}x^{33} + x^{18} + x^9 + x^3 }[/math]	SW 11	[math]\displaystyle{ 0^{38040}, 2^{22461}, 4^{4218}, 6^{513}, 8^{36}, 10^{12} }[/math]
8.3	[math]\displaystyle{ x^{66} + \alpha^{85}x^{33} + \alpha^{17}x^9 + \alpha^{102}x^6 + x^3 }[/math]	SW 13	[math]\displaystyle{ 0^{38076}, 2^{22311}, 4^{4374}, 6^{495}, 8^{24} }[/math]
8.4	[math]\displaystyle{ \alpha^{85}x^{132} + \alpha^{85}x^{72} + x^9 + x^6 + x^3 }[/math]	SW 12	[math]\displaystyle{ 0^{38160}, 2^{22104}, 4^{4536}, 6^{456}, 8^{24} }[/math]
8.5	[math]\displaystyle{ x^{66} + x^{12} + \alpha^{85}x^6 + x^3 }[/math]	SW 6	[math]\displaystyle{ 0^{38160}, 2^{22164}, 4^{4428}, 6^{492}, 8^{36} }[/math]
8.6	[math]\displaystyle{ x^{129} + \alpha^{85}x^{24} + x^{12} + x^9 + x^3 }[/math]	SW 8	[math]\displaystyle{ 0^{38184}, 2^{22179}, 4^{4338}, 6^{531}, 8^{48} }[/math]
8.7	[math]\displaystyle{ \alpha^{170}x^{132} + \alpha^{85}x^{66} + \alpha^{85}x^{18} + x^3 }[/math]	new	[math]\displaystyle{ 0^{38196}, 2^{22008}, 4^{4608}, 6^{456}, 8^{12} }[/math]
8.8	[math]\displaystyle{ \alpha^{85}x^{132} + \alpha^{85}x^{72} + x^{36} + x^{24} + x^3 }[/math]	SW 9	[math]\displaystyle{ 0^{38256}, 2^{22116}, 4^{4230}, 6^{648}, 8^{30} }[/math]
8.9	[math]\displaystyle{ \alpha^{85}x^{192} + x^{72} + x^{33} + x^{24} + x^9 + \alpha^{153}x^6 }[/math]	SW 17	[math]\displaystyle{ 0^{38388}, 2^{21723}, 4^{4626}, 6^{507}, 8^{36} }[/math]
8.10	[math]\displaystyle{ \alpha^{221}x^{96} + \alpha^{221}x^{33} + x^{12} + x^9 + x^6 + \alpha^{187}*x^3 }[/math]	SW 10	[math]\displaystyle{ 0^{38439}, 2^{21618}, 4^{4671}, 6^{528}, 8^{24} }[/math]
8.11	[math]\displaystyle{ \alpha^{238}x^{144} + x^{132} + \alpha^{51}x^{96} + \alpha^{119}x^{48} + x^{33} + x^9 }[/math]	SW 16	[math]\displaystyle{ 0^{38457}, 2^{21552}, 4^{4743}, 6^{510}, 8^{18} }[/math]
8.12	[math]\displaystyle{ \alpha^{204}x^{160} + \alpha^{51}x^{48} + \alpha^{102}x^{12} + \alpha^{204}x^{10} + x^9 }[/math]	SW 22	[math]\displaystyle{ 0^{38844}, 2^{20974}, 4^{4764}, 6^{654}, 8^{44} }[/math]
8.13	[math]\displaystyle{ \alpha^{160}x^{132} + \alpha^{10}x^{72} + x^{48} + \alpha x^{34} + \alpha^3x^{33} + \alpha^{48}x^{18} + x^{17} + x^3 }[/math]	B 31	[math]\displaystyle{ 0^{39150}, 2^{20463}, 4^{4920}, 6^{675}, 8^{54}, 10^{12}, 12^6 }[/math]
8.14	[math]\displaystyle{ x^{144} + \alpha^{85}x^{96} + \alpha^{170}x^{80} + \alpha^{85}x^{65} + \alpha^{85}x^{17} + x^9 + x^5 }[/math]	B 12668	[math]\displaystyle{ 0^{39408}, 2^{20072}, 4^{4922}, 6^{798}, 8^{70}, 10^{10} }[/math]
8.15	[math]\displaystyle{ x^{66} + \alpha^{170}x^{40} + x^{18} + \alpha^{85}x^5 + x^3 }[/math]	Y 4346	[math]\displaystyle{ 0^{39408}, 2^{20218}, 4^{4692}, 6^{838}, 8^{104}, 10^{12}, 12^8 }[/math]
8.16	[math]\displaystyle{ x^{160} + x^{132} + x^{80} + x^{68} + x^6 + x^3 }[/math]	SW 20	[math]\displaystyle{ 0^{39692}, 2^{19752}, 4^{4756}, 6^{978}, 8^{72}, 10^{26}, 12^4 }[/math]