Higher weight spectra of Veronese codes
Combinatorics
2019-04-26 v2
Abstract
We study q-ary linear codes C obtained from Veronese surfaces over finite fields. We show how one can find the higher weight spectra of these codes, or equivalently, the weight distribution of all extension codes of C over all field extensions of the field with q elements. Our methods will be a study of the Stanley-Reisner rings of a series of matroids associated to each code C
Keywords
Cite
@article{arxiv.1904.07626,
title = {Higher weight spectra of Veronese codes},
author = {Trygve Johnsen and Hugues Verdure},
journal= {arXiv preprint arXiv:1904.07626},
year = {2019}
}
Comments
14 pages