Talk:Tables

Some APN functions $C C Z -$ equivalent to gold functions and EA-enequivalent to power functions over $𝔽_{2^{n}}$

Some APN functions $C C Z -$ equivalent to gold functions and EA-enequivalent to power functions over $𝔽_{2^{n}}$ (constructed in ^[1]

Functions	Conditions	$d^{\circ}$
$x^{2^{i} + 1} + (x^{2^{i}} + t r_{n} (1) + 1) t r (x^{2^{i} + 1} + x t r_{n} (1))$	$n \geq 4, g c d (i, n) = 1$	3
$x + t r_{n / 3} (x^{2 (2^{i} + 1)} + x^{4 (2^{i} + 1)}) + t r_{n} (x) t r_{n / 3} (x^{2^{i} + 1} + x^{2^{2 i} (2^{i} + 1)})^{2^{i} + 1}$	$6 \| n, g c d (i, n) = 1$	4
$x^{2^{i} + 1} + t r_{n / m} (x^{2^{i} + 1}) + x^{2^{i}} t r_{n / m} (x) + x t r_{n / m} (x)^{2^{i}} + [t r_{n / m} (x)^{2^{i} + 1} + t r_{n / m} (x^{2^{i} + 1}) + t r_{n / m} (x)]^{\frac{1}{2^{i} + 1}} (x^{2^{i}} + t r_{n / m} (x)^{2^{i}} + 1) + [t r_{n / m} (x)^{2^{i} + 1} + t r_{n / m} (x^{2^{i} + 1}) + t r_{n / m} (x)]^{\frac{2^{i}}{2^{i} + 1}} (x + t r_{n / m} (x))$	$m \neq n, n o d d, m \| n, g c d (i, n) = 1$	$m + 2$

↑ Budaghyan, Lilya, Claude Carlet, and Alexander Pott. "New classes of almost bent and almost perfect nonlinear polynomials." IEEE Transactions on Information Theory 52.3 (2006): 1141-1152.