J4 ›› 2011, Vol. 46 ›› Issue (3): 26-30.
• Articles •
GUO Fei-wang, ZHANG Xi-yong, HAN Wen-bao
Perfect nonlinear functions are widely used in cryptography and algebra combinatorics. By using two known perfect nonlinear functions, a quadratic perfect nonlinear function over finite fields of odd characteristic was constructed based on determining the root of a linearized function.This quadratic function was proved to be inequivalent to x2, and then an example was used to analyzed its inequivalence to xps+1.
perfect nonlinear function; almost perfect nonlinear function; CCZ-equivalence;EA-equivalence; linearized permutation
GUO Fei-wang, ZHANG Xi-yong, HAN Wen-bao. A construction of perfect nonlinear functions[J].J4, 2011, 46(3): 26-30.
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