English

New Open Problems Related to Old Conjectures by Helleseth

Number Theory 2015-04-24 v3 Information Theory math.IT

Abstract

Recently, very interesting results have been obtained concerning the Fourier spectra of power permutations over a finite field. In this note we survey the recent ideas of Aubry, Feng, Katz, and Langevin, and we pose new open problems related to old conjectures proposed by Helleseth in the middle of the seventies.

Cite

@article{arxiv.1412.8530,
  title  = {New Open Problems Related to Old Conjectures by Helleseth},
  author = {Daniel J. Katz and Philippe Langevin},
  journal= {arXiv preprint arXiv:1412.8530},
  year   = {2015}
}

Comments

17 pages

R2 v1 2026-06-22T07:46:34.536Z