多维超Bent函数的构造
doi: 10.3724/SP.J.1146.2005.00329
The Construction of Multi Out-put Hyper Bent Functions
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摘要: 有限域Fp2m上的超Bent函数是与Fp上所有m序列的距离都达到最大的函数，该文研究了F22m 上超Bent函数与GF2m(2)上Bent函数之间的关系，对一类超Bent函数的性质作了深入细致的刻画，给出了有限域Fp2m上多维超Bent函数的两种构造方法．Abstract: Hyper Bent functions achieve the maximal minimum distance to all the m sequences．In this paper, the relationship between the hyper Bent function on F22m and the Bent function on GF2m(2) is studied and two methods for constructing vectorial hyper Bent functions on Fp2m are proposed as well．
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