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

CCZ-inequivalent APN Functions over $\mathbb {F} _{2^{n}}$ from the Known APN Classes for $6\leqslant n\leqslant 11$

Dimension	$N^{\circ }$	Functions	Equivalent to	Walsh spectrum	Γ-rank	Δ-rank
$6$	$6.1$	$x^{3}$	$Gold$	Gold	1102	94
	$6.2$	$x^{24}+ax^{17}+a^{8}x^{10}+ax^{9}+x^{3}$	$C3$	Gold	1146	94
	$6.3$	$ax^{3}+x^{17}+a^{4}x^{24}$	$C7-C9$	Gold	1166	96
$7$	$7.1$	$x^{3}$	$Gold$	Gold	3610	198
	$7.2$	$x^{5}$	$Gold$	Gold	3708	198
	$7.3$	$x^{9}$	$Gold$	Gold	3610	198
	$7.4$	$x^{13}$	$Kasami$	Gold	4270	338
	$7.5$	$x^{57}$	$Kasami$	Gold	4704	436
	$7.6$	$x^{63}$	$Inverse$	Inverse	8128	4928
	$7.7$	$x^{3}+Tr_{7}(x^{9})$	$C4$	Gold	4026	212
$8$	$8.1$	$x^{3}$	$Gold$	Gold	11818	420
	$8.2$	$x^{9}$	$Gold$	Gold	12370	420
	$8.3$	$x^{57}$	$Kasami$	Gold	15358	960
	$8.4$	$x^{3}+x^{17}+p^{48}x^{18}+p^{3}x^{33}+px^{34}+x^{48}$	$C3$	Gold	13200	414
	$8.5$	$x^{3}+Tr_{8}(x^{9})$	$C4$	Gold	13200	432
	$8.6$	$x^{3}+a^{-1}Tr_{8}(a^{3}x^{9})$	$C4$	Gold	13842	436
	$8.7$	$a(x+x^{16})(ax+a^{16}x^{16})+a^{17}(ax+a^{16}x^{16})^{12}$	$C10$	Gold	13642	436
$9$	$9.1$	$x^{3}$	$Gold$	Gold	38470	872
	$9.2$	$x^{5}$	$Gold$	Gold	41494	872
	$9.3$	$x^{17}$	$Gold$	Gold	38470	872
	$9.4$	$x^{13}$	$Kasami$	Gold	58676	3086
	$9.5$	$x^{241}$	$Kasami$	Gold	61726	3482
	$9.6$	$x^{19}$	$Welch$	Gold	60894	3956
	$9.7$	$x^{255}$	$Inverse$	Inverse	130816	93024
	$9.8$	$x^{3}+Tr_{9}(x^{9})$	$C4$	Gold	47890	920
	$9.9$	$x^{3}+Tr_{9}^{3}(x^{9}+x^{18})$	$C5$	Gold	48428	930
	$9.10$	$x^{3}+Tr_{9}^{3}(x^{18}+x^{36})$	$C6$	Gold	48460	944
	$9.11$	$x^{3}+a^{246}x^{10}+a^{47}x^{17}+a^{181}x^{66}+a^{428}x^{129}$	$C11$	Gold	48596	944
$10$	$10.1$	$x^{3}$	$Gold$	Gold	125042
	$10.2$	$x^{9}$	$Gold$	Gold	136492
	$10.3$	$x^{57}$	$Kasami$	Gold	186416
	$10.4$	$x^{339}$	$Dobbertin$	Dobbertin	280604
	$10.5$	$x^{6}+x^{33}+p^{31}x^{192}$	$C3$	Gold	151216
	$10.6$	$x^{33}+x^{72}+p^{31}x^{258}$	$C3$	Gold	153896
	$10.7$	$x^{3}+Tr_{10}(x^{9})$	$C4$	Gold	164034
	$10.8$	$x^{3}+a^{-1}Tr_{10}(a^{3}x^{9})$	$C4$	Gold	164098
$11$	$11.1$	$x^{3}$	$Gold$	Gold
	$11.2$	$x^{5}$	$Gold$	Gold
	$11.3$	$x^{9}$	$Gold$	Gold
	$11.4$	$x^{17}$	$Gold$	Gold
	$11.5$	$x^{33}$	$Gold$	Gold
	$11.6$	$x^{13}$	$Kasami$	Gold
	$11.7$	$x^{57}$	$Kasami$	Gold
	$11.8$	$x^{241}$	$Kasami$	Gold
	$11.9$	$x^{993}$	$Kasami$	Gold
	$11.10$	$x^{35}$	$Welch$	Gold
	$11.11$	$x^{287}$	$Niho$	Gold
	$11.12$	$x^{123}$	$Inverse$	Inverse
	$11.13$	$x^{3}+Tr_{11}(x^{9})$	$C4$	Gold