The dual geometry of Hermitian two-point codes
Algebraic Geometry
2013-09-04 v5
Abstract
In this paper we study the algebraic geometry of any two-point code on the Hermitian curve and reveal the purely geometric nature of their dual minimum distance. We describe the minimum-weight codewords of many of their dual codes through an explicit geometric characterization of their supports. In particular, we show that they appear as sets of collinear points in many cases.
Keywords
Cite
@article{arxiv.1202.2453,
title = {The dual geometry of Hermitian two-point codes},
author = {Edoardo Ballico and Alberto Ravagnani},
journal= {arXiv preprint arXiv:1202.2453},
year = {2013}
}
Comments
Discrete Mathematics, vol. 313 (2013), issue 23, pp. 2687-2695