The Hartley Transform in a Finite Field

The Hartley Transform in a Finite Field

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 a...

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Veröffentlicht in:arXiv.org 2015-02
Hauptverfasser: R M Campello de Souza, de Oliveira, H M, Kauffman, A N
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science - Discrete Mathematics
Fields (mathematics)
Mathematics - Number Theory
Trigonometric functions
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1502.04670