The Hartley Transform in a Finite Field

Published 16 Feb 2015 in math.NT and cs.DM | (1502.04670v1)

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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