Higher Weight Spectra of Veronese Codes
Trygve Johnsen, Hugues Verdure · IEEE Transactions on Information Theory · 2019
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 Fq. Our methods will be a study of the Stanley-Reisner rings of a series of matroids associated to each code C.