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Affine Symplectic Grassmann codes (2206.01872v3)
Published 4 Jun 2022 in cs.IT and math.IT
Abstract: In this manuscript, we introduce a new class of linear codes, called affine symplectic Grassmann codes, and determine their parameters, automorphism group, minimum distance codewords, dual code and other key features. These linear codes are defined from an affine part of a polar symplectic Grassmannian. They combine polar symplectic Grassmann codes and affine Grassmann codes.