Web9 de fev. de 2024 · Weakly normal bent functions, Bent duals, 4-bent decomposition 1. Introduction An important class of Boolean functions was introduced by Rothaus [20] in 1976, which are de ned in even number of variables having the maximum possible Hamming distance to the set of all a ne functions. WebThis enables us to completely characterize generalized bent functions and $\mathbb Z_{p^{k}}$ -bent functions by some affine space associated with the generalized bent …

Explicit infinite families of bent functions outside the completed ...

Web1 de jun. de 2024 · Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions. Author links open overlay panel Ferruh Özbudak … WebBoolean bent functions introduced by Rothaus [35] play an important role in cryptography, coding theory, sequences and combinatorics. In 1985, Kumar et al. [16] generalized Boolean bent functions to bent functions over finite fields of odd characteristic. Due to the importance of bent functions, they have been studied extensively. There is an ... figure out sales tax from total

New Secondary Constructions of Generalized Bent Functions

Web25 de mar. de 2024 · Abstract: In this paper, we study the duals of generalized bent functions Z , where is an -dimensional vector space over F and is an odd prime, is a positive integer. It is known that weakly regular generalized bent functions always … Web{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,7]],"date-time":"2024-04-07T04:44:00Z","timestamp ... Web1 de set. de 1985 · GENERALIZED BENT FUNCTIONS 99 Many of the constructions for bent functions over Jg provided in Section VI result in bent functions whose Fourier … grocery bag hook carrier