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Implementing Line-Hermitian Grassmann codes

Combinatorics 2020-05-13 v1 Discrete Mathematics

Abstract

In [I. Cardinali and L. Giuzzi. Line Hermitian Grassmann codes and their parameters. Finite Fields Appl., 51: 407-432, 2018] we introduced line Hermitian Grassmann codes and determined their parameters. The aim of this paper is to present (in the spirit of [I. Cardinali and L. Giuzzi. Enumerative coding for line polar Grassmannians with applications to codes. Finite Fields Appl., 46:107-138, 2017]) an algorithm for the point enumerator of a line Hermitian Grassmannian which can be usefully applied to get efficient encoders, decoders and error correction algorithms for the aforementioned codes.

Cite

@article{arxiv.1804.03024,
  title  = {Implementing Line-Hermitian Grassmann codes},
  author = {Ilaria Cardinali and Luca Giuzzi},
  journal= {arXiv preprint arXiv:1804.03024},
  year   = {2020}
}

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26 pages