In this paper, we employ a graph signal processing approach to redefine Fourier-like
number-theoretic transforms, which includes the Fourier number transform itself, the Hartley …

The main contribution of this brief is the introduction and the characterization of a novel
Chebyshev-like rational map over finite fields. The referred map is identified as t-Chebyshev …

The R\'{e} dei function defined over a field of even characteristic has been introduced by
N\"{o} bauer in 1986\cite {even}. In this paper, inspired by the work of Fu et al.\cite {wang} in …

In this paper, we introduce cosine transforms over fields of characteristic 2. Our approach
complements previous definitions of finite field trigonometric transforms, which only hold for …

In a recent work, a family of rational maps identified as tangent-Chebyshev maps over finite
fields was introduced. Such maps have potential applicability in cryptography and channel …

In this paper, we first introduce a trigonometric approach for Dickson polynomials of the first
and the second kinds over fields of characteristic two. Employing the proposed concepts, we …

A Kakeya set contains a line in each direction. Dvir proved a lower bound on the size of any
Kakeya set in a finite field using the polynomial method. We prove analogues of Dvir's result …

In this brief, we introduce a new definition for the Hilbert number transform (HNT). Our
approach employs concepts related to trigonometry over finite fields and uses as a starting …

Trigonometry in finite fields was introduced by de Souza et al. and further developed by
Lima and Panario and others, giving functions with many properties similar to trigonometric …

O estudo de mapas definidos sobre corpos finitos tem despertado grande interesse da
comunidade científica interessada tanto em aspectos teóricos, quanto em cenários de …