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arxiv: 1502.04670 · v1 · pith:TEFM7VANnew · submitted 2015-02-16 · 🧮 math.NT · cs.DM

The Hartley Transform in a Finite Field

classification 🧮 math.NT cs.DM
keywords fieldtransformfinitehartleyleadsmainpropertiesapplications
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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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