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Remarks on Characterization of Bent Functions in Terms of Gibbs Dyadic Derivatives

机译:关于用Gibbs Dyadic导数表征Bent函数的评论

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The term dyadic derivative was coined by F. Pichler for a differential operator introduced by J.E. Gibbs in 1967 which was initially called the logic derivative since being acting on the set of binary n-tuples. Both names, the logic derivative and the dyadic derivative, are related with the property that this set equipped with the addition modulo 2 (EXOR) expresses the structure of a group C_2~n called the finite dyadic group, which is viewed as a natural domain to define binary-valued switching functions.
机译:二阶导数是F.Pichler为J.E.Gibbs于1967年提出的微分算子创造的,由于作用于二进制n元组,因此最初被称为逻辑导数。这两个名称(逻辑导数和二进阶导数)均与以下性质相关:该集合配备加法模2(EXOR)表示称为有限二进群的组C_2〜n的结构,该组被视为自然域定义二进制值的开关函数。

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