Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over
[1].
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![{\displaystyle [x+tr_{n/3}(x^{2(2^{i}+1)}+x^{4(2^{i}+1)})+tr_{n}(x)tr_{n/3}(x^{2^{i}+1}+x^{2^{2i}(2^{i}+1)})]^{2^{i}+1}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0cc6ae8de7cdef770579c9b02c6db0ac0e5daa44) |
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![{\displaystyle +[tr_{n/m}(x)^{2^{i}+1}+tr_{n/m}(x^{2^{i}+1})+tr_{n/m}(x)]^{\frac {2^{i}}{2^{i}+1}}(x+tr_{n/m}(x))}](https://wikimedia.org/api/rest_v1/media/math/render/svg/76df6e519b42dd315e76937113e4b8005d7aa019) |
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- ↑ L. Budaghyan, C.Carlet, A. Pott. New classes of almost bent and almost perfect nonlinear polynomials. IEEE Trans. Inf. Theoery, vol. 52, no. 3, pp. 1141-1152, 2006. https://doi.org/10.1109/TIT.2005.864481