APN functions obtained via polynomial expansion in small dimensions

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