English

On the weights of dual codes arising from the GK curve

Information Theory 2019-09-19 v1 Algebraic Geometry math.IT

Abstract

In this paper we investigate some dual algebraic-geometric codes associated with the Giulietti-Korchm\'aros maximal curve. We compute the minimum distance and the minimum weight codewords of such codes and we investigate the generalized hamming weights of such codes.

Keywords

Cite

@article{arxiv.1909.08126,
  title  = {On the weights of dual codes arising from the GK curve},
  author = {Edoardo Ballico and Matteo Bonini},
  journal= {arXiv preprint arXiv:1909.08126},
  year   = {2019}
}