English

Minimum distance of Symplectic Grassmann codes

Information Theory 2015-10-05 v3 Combinatorics math.IT

Abstract

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 22 and 33 and we determine the minimum distance of the line Symplectic Grassmann codes.

Keywords

Cite

@article{arxiv.1503.05456,
  title  = {Minimum distance of Symplectic Grassmann codes},
  author = {Ilaria Cardinali and Luca Giuzzi},
  journal= {arXiv preprint arXiv:1503.05456},
  year   = {2015}
}

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Revised contents and biblography

R2 v1 2026-06-22T08:56:15.169Z