A note on non-splitting Z-bent functions

作者：Gangopadhyay Sugata^*; Pasalic Enes; Stanica Pantelimon; Datta Saral

来源：Information Processing Letters, 2017, 121: 1-5.

DOI：10.1016/j.ip1.2017.01.001

• Cryptography
• Z-bent functions
• Fourier spectrum
• Walsh-Hadamard spectrum

In this note, we find constructions of non-splitting Z-bent functions, thus solving an open problem of Dobbertin and Leander (2008) [4]. Under some technical conditions, we also construct Z-bent functions of level r + 1 that are not splitting into Z-bent functions of level r >= 0.

• 出版日期2017-5