The Hartley Transform in a Finite Field
R.M. Campello de Souza, H.M. de Oliveira, A.N. Kauffman
TL;DR
This paper introduces a finite field Hartley Transform based on new k-trigonometric functions over GF(q), exploring its properties and potential applications in digital signal processing.
Contribution
It defines the finite field Hartley Transform using novel k-trigonometric functions over GF(q), expanding the toolkit for finite field signal analysis.
Findings
Defined k-trigonometric functions over GF(q)
Introduced the finite field Hartley Transform
Outlined potential application areas
Abstract
The k-trigonometric functions over the Galois Field GF(q) are introduced and their main properties derived. This leads to the definition of the cask(.) function over GF(q), which in turn leads to a finite field Hartley Transform. The main properties of this new discrete transform are presented and areas for possible applications are mentioned.
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