【Key words】 Nonlinear Functions; Perfect Nonlinear Functions; Preimage Distributions; LinearCodes; Weight Distributions; Constant-Composition Codes; Optimal Constant-Composition Codes;
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文中注记中提供了几个平面函数及一些几乎完全非线性函数。
Some planar functions and almost perfect nonlinear(APN) functions are presented in the note.
利用不同的完全非线性函数,可以得到不同的并且具有最优汉明相关性能的跳频序列族。
Based upon different perfect nonlinear functions, different frequency-hopping sequence families with optimal Hamming correlation property could be obtained.
为构造新的完全非线性函数,研究完全非线性函数的原像分布特征具有十分重要的作用。
In order to construct new perfect nonlinear functions, investigating the preimage distributionsof perfect nonlinear functions is very important.
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