Boomerang uniformity of a class of power maps
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We consider the boomerang uniformity of an infinite class of power maps and show that its boomerang uniformity over the finite field F2n is 2 and 4,when n=0 (mod 4)and n=2 (mod 4),respectively. As a consequence, we show that for this class of power maps, the differential uniformity is strictly greater than its boomerang uniformity, contrary to popular belief.
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