English

Construction of a 3-Dimensional MDS code

Information Theory 2009-07-19 v2 math.IT

Abstract

In this paper, we describe a procedure for constructing qq--ary [N,3,N2][N,3,N-2]--MDS codes, of length Nq+1N\leq q+1 (for qq odd) or Nq+2N\leq q+2 (for qq even), using a set of non--degenerate Hermitian forms in PG(2,q2)PG(2,q^2).

Keywords

Cite

@article{arxiv.0708.1558,
  title  = {Construction of a 3-Dimensional MDS code},
  author = {A. Aguglia and L. Giuzzi},
  journal= {arXiv preprint arXiv:0708.1558},
  year   = {2009}
}

Comments

8 Pages Minor typesetting changes; dedication

R2 v1 2026-06-21T09:06:44.482Z