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math.AG2019
Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
Philippe Moustrou, Cordian Riener, Hugues Verdure
An ideal of polynomials is symmetric if it is closed under permutations of variables. We relate general symmetric ideals to the so called Specht ideals generated by all Specht poly…
math.CO2019
Higher weight spectra of Veronese codes
Trygve Johnsen, Hugues Verdure
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 dis…