Codes on Linear Sections of Grassmannians

Published 1 Jun 2016 in math.AG | (1606.00087v1)

Abstract: We study algebraic geometry linear codes defined by linear sections of the Grassmannian variety as codes associated to FFN$(1,q)$-projective varieties. As a consequence, we show that Schubert, Lagrangian-Grassmannian, and isotropic Grassmannian codes are special instances of codes defined by linear sections of the Grassmannian variety.

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