Higher Weight Spectra of Veronese Codes
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 ground field. Our methods will be a study of the Stanley-Reisner rings of a series of matroids associated to each code C.
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SiteringJohnsen, T. & Verdure, H. (2020). Higher Weight Spectra of Veronese Codes. IEEE Transactions on Information Theory, 66(6), 3538-3546.
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