English

New [48,16,16] Optimal Linear Binary Block Code

Information Theory 2009-12-22 v1 math.IT

Abstract

A new [48,16,16] optimal linear binary block code is given. To get this code a general construction is used which is also described in this paper. The construction of this new code settles an conjecture mentioned in a 2008 paper by Janosov et al. where the authors found an new optimal [47,15,16]-code, which is relevant to the applied construction.

Keywords

Cite

@article{arxiv.0912.4107,
  title  = {New [48,16,16] Optimal Linear Binary Block Code},
  author = {Axel Kohnert},
  journal= {arXiv preprint arXiv:0912.4107},
  year   = {2009}
}
R2 v1 2026-06-21T14:26:38.366Z