Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1
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Table 1: Classification of Quadratic APN Trinomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with Coefficients as 1
[math]\displaystyle{ n }[/math] | [math]\displaystyle{ N^\circ }[/math] | Functions | Families from tables 5 | Relation to [6] |
---|---|---|---|---|
[math]\displaystyle{ 6 }[/math] | - | - | - | - |
[math]\displaystyle{ 6 }[/math] | [math]\displaystyle{ 7,1 }[/math]
[math]\displaystyle{ 7,2 }[/math] | [math]\displaystyle{ x^{20} + x^6 + x^3 }[/math]
[math]\displaystyle{ x^{65} + x^{10} + x^3 }[/math] | - - | [math]\displaystyle{ Table 7: N^\circ8.1 }[/math]
[math]\displaystyle{ 9:N^\circ1.4 }[/math] |