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Line Polar Grassmann Codes of Orthogonal Type

Authors
  • Cardinali, Ilaria
  • Giuzzi, Luca
  • Pasini, Antonio
Type
Preprint
Publication Date
Sep 08, 2014
Submission Date
Jul 23, 2014
Identifiers
arXiv ID: 1407.6149
Source
arXiv
License
Yellow
External links

Abstract

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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