English

A class of punctured simplex codes which are proper for error detection

Information Theory 2011-11-24 v1 math.IT

Abstract

Binary linear [n,k] codes that are proper for error detection are known for many combinations of n and k. For the remaining combinations, existence of proper codes is conjectured. In this paper, a particular class of [n,k] codes is studied in detail. In particular, it is shown that these codes are proper for many combinations of n and k which were previously unsettled.

Keywords

Cite

@article{arxiv.1111.5484,
  title  = {A class of punctured simplex codes which are proper for error detection},
  author = {Marco Baldi and Marco Bianchi and Franco Chiaraluce and Torleiv Kløve},
  journal= {arXiv preprint arXiv:1111.5484},
  year   = {2011}
}
R2 v1 2026-06-21T19:40:26.970Z