Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8
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Creating 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{ 6 }[/math] | [math]\displaystyle{ 1,1 }[/math]
[math]\displaystyle{ 1,2 }[/math] [math]\displaystyle{ 2.1 }[/math] |
[math]\displaystyle{ x^3 }[/math]
[math]\displaystyle{ x^3+u^{11}x6+ux^9 }[/math] [math]\displaystyle{ ux^5+x^9+u^4x^{17}+ux^{18}+u^4x^{20}+ux^{24}+u^4x^{34}+ux^{40} }[/math] |