English

Line Hermitian Grassmann Codes and their Parameters

Combinatorics 2025-10-20 v4 Information Theory math.IT

Abstract

In this paper we introduce and study line Hermitian Grassmann codes as those subcodes of the Grassmann codes associated to the 22-Grassmannian of a Hermitian polar space defined over a finite field of square order. In particular, we determine their parameters and characterize the words of minimum weight for m5m\neq5.

Keywords

Cite

@article{arxiv.1706.10255,
  title  = {Line Hermitian Grassmann Codes and their Parameters},
  author = {Ilaria Cardinali and Luca Giuzzi},
  journal= {arXiv preprint arXiv:1706.10255},
  year   = {2025}
}

Comments

We added to the original paper a corrigendum for the case $m=5$

R2 v1 2026-06-22T20:34:43.316Z