关于狄龙型指数的向量弯曲函数

2016 IEEE International Symposium on Information Theory (ISIT) Pub Date : 2016-07-10 DOI:10.1109/ISIT.2016.7541347

Lucien Lapierre, P. Lisoněk

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引用次数: 5

摘要

研究了具有狄龙指数的向量弯曲函数。这些函数因其在任何时候被弯曲都是超弯曲的，并且它们在同一域上的所有弯曲函数中达到可能的最高代数度而受到人们的关注。在低维情况下，当这些函数映射到GF(4)时，我们确定了它们的最简单可能形式。证明了映射到大上域的某些单项式和多项式弯曲函数的不存在性。

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On vectorial bent functions with Dillon-type exponents

We study vectorial bent functions with Dillon-type exponents. These functions have attracted attention because they are hyperbent whenever they are bent, and they achieve the highest possible algebraic degree among all bent functions on the same domain. In low dimensions we determine the simplest possible forms of such functions when they map to GF(4). We prove non-existence results for certain monomial and multinomial bent functions mapping to large codomains.

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2016 IEEE International Symposium on Information Theory (ISIT)

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