English

Fourier Codes

Information Theory 2015-03-12 v1 Discrete Mathematics math.IT

Abstract

A new family of error-correcting codes, called Fourier codes, is introduced. The code parity-check matrix, dimension and an upper bound on its minimum distance are obtained from the eigenstructure of the Fourier number theoretic transform. A decoding technique for such codes is proposed.

Keywords

Cite

@article{arxiv.1503.03293,
  title  = {Fourier Codes},
  author = {R. M. Campello de Souza and E. S. V. Freire and H. M. de Oliveira},
  journal= {arXiv preprint arXiv:1503.03293},
  year   = {2015}
}

Comments

6 pages, 2 tables. In: 10th International Symposium on Communication Theory and Applications 2009, Ambleside, Lake District, UK

R2 v1 2026-06-22T08:49:56.014Z