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arxiv: 1503.05456 · v3 · pith:C3SQTIDNnew · submitted 2015-03-17 · 💻 cs.IT · math.CO· math.IT

Minimum distance of Symplectic Grassmann codes

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keywords codesgrassmannsymplecticdistanceminimumanalogyclassdefined
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We introduce the Symplectic Grassmann codes as projective codes defined by symplectic Grassmannians, in analogy with the orthogonal Grassmann codes introduced in [4]. Note that the Lagrangian-Grassmannian codes are a special class of Symplectic Grassmann codes. We describe the weight enumerator of the Lagrangian--Grassmannian codes of rank $2$ and $3$ and we determine the minimum distance of the line Symplectic Grassmann codes.

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