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arxiv: 1407.6149 · v2 · pith:4MAR57QDnew · submitted 2014-07-23 · 🧮 math.CO

Line Polar Grassmann Codes of Orthogonal Type

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keywords orthogonalcodesgrassmannpolartypelineapplarising
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Polar Grassmann codes of orthogonal type have been introduced in I. Cardinali and L. Giuzzi, \emph{Codes and caps from orthogonal Grassmannians}, {Finite Fields Appl.} {\bf 24} (2013), 148-169. They are subcodes of the Grassmann code arising from the projective system defined by the Pl\"ucker embedding of a polar Grassmannian of orthogonal type. In the present paper we fully determine the minimum distance of line polar Grassmann Codes of orthogonal type for $q$ odd.

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