English

Optimal subspace codes in ${\rm PG}(4,q)$

Combinatorics 2018-02-28 v1 Information Theory math.IT

Abstract

We investigate subspace codes whose codewords are subspaces of PG(4,q){\rm PG}(4,q) having non-constant dimension. In particular, examples of optimal mixed-dimension subspace codes are provided, showing that Aq(5,3)=2(q3+1){\cal A}_q(5,3) = 2(q^3+1).

Keywords

Cite

@article{arxiv.1802.09793,
  title  = {Optimal subspace codes in ${\rm PG}(4,q)$},
  author = {Antonio Cossidente and Francesco Pavese and Leo Storme},
  journal= {arXiv preprint arXiv:1802.09793},
  year   = {2018}
}
R2 v1 2026-06-23T00:34:51.436Z