A special function is a function either of special form or with a special property. Special functions have interesting applications in coding theory and combinatorial t-designs. The main objective of this paper is to survey t-designs constructed from special functions, including quadratic functions, almost perfect nonlinear functions, almost bent functions, bent functions, bent vectorial functions, and planar functions. These combinatorial designs are not constructed directly from such functions, but come from linear codes which are constructed with such functions. As a byproduct, this paper also surveys linear codes from certain special functions.

中文翻译：

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特殊功能的组合式t设计

特殊功能是具有特殊形式或具有特殊属性的功能。特殊功能在编码理论和组合t设计中具有有趣的应用。本文的主要目的是调查由特殊函数构造的t设计，包括二次函数，几乎完美的非线性函数，几乎弯曲函数，弯曲函数，弯曲矢量函数和平面函数。这些组合设计不是直接由此类功能构造的，而是来自由此类功能构造的线性代码。作为副产品，本文还从某些特殊功能中考察了线性代码。