In this paper,we give some new low differential uniformity of some power functions defined on finite fields with odd characteristic.As corollaries of the uniformity,we obtain two families of almost perfect nonlinear f...In this paper,we give some new low differential uniformity of some power functions defined on finite fields with odd characteristic.As corollaries of the uniformity,we obtain two families of almost perfect nonlinear functions in GF(3 n)and GF(5 n)separately.Our results can be used to prove the Dobbertin et al.'s conjecture.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.10771078,60973135)
文摘In this paper,we give some new low differential uniformity of some power functions defined on finite fields with odd characteristic.As corollaries of the uniformity,we obtain two families of almost perfect nonlinear functions in GF(3 n)and GF(5 n)separately.Our results can be used to prove the Dobbertin et al.'s conjecture.
