English

The Hartley Transform in a Finite Field

Number Theory 2015-08-21 v1 Discrete Mathematics

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.

Cite

@article{arxiv.1502.04670,
  title  = {The Hartley Transform in a Finite Field},
  author = {R. M. Campello de Souza and H. M. de Oliveira and A. N. Kauffman},
  journal= {arXiv preprint arXiv:1502.04670},
  year   = {2015}
}

Comments

7 pages, IEEE/SBT International Telecommunication Symposium, ITS, 1998, Sao Paulo, Brazil

R2 v1 2026-06-22T08:30:49.931Z