Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol

Published 19 Sep 2020 in math.AG, cs.IT, and math.IT | (2009.09311v3)

Abstract: We give a new construction of linear codes over finite fields on higher dimensional varieties using Grothendieck's theory of residues. This generalizes the construction of differential codes over curves to varieties of higher dimensions.

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