The differential spectra of a class of power functions f(x)= xpn-3/2 over finite field Fpn with low differential uniformity are described,where p and n satisfy pn ≡ 3(mod 4)and pn≠ 27.By studying the differential equation of f(x),the necessary and sufficient conditions for which the differential equation f(x+1)-f(x)=b has exactly two solutions are given.Furthermore the number of elements b∈Fpn that satisfies the condition is calculated.Based on the obtained results,the differential spectra of these power functions are determined.
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