A power APN function CCZ-equivalent to Kasami function in even dimension

04/13/2020

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by   Augustine Musukwa, et al.

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Let n be an even number such that n≡ 0 4. We show that a power function x^d, with d=2^n+2/2+2^n-2/2-1, on F_2^n is an APN function of degree n/2 which is CCZ-equivalent to Kasami function of degrees n/2 and (n+4)/2.