English

Sixteen New Linear Codes With Plotkin Sum

Information Theory 2008-04-23 v1 math.IT

Abstract

Sixteen new linear codes are presented: three of them improve the lower bounds on the minimum distance for a linear code and the rest are an explicit construction of unknown codes attaining the lower bounds on the minimum distance. They are constructed using the Plotkin sum of two linear codes, also called (uu+v)(u|u+v) construction. The computations have been achieved using an exhaustiv search.

Keywords

Cite

@article{arxiv.0804.3507,
  title  = {Sixteen New Linear Codes With Plotkin Sum},
  author = {Fernando Hernando and Diego Ruano},
  journal= {arXiv preprint arXiv:0804.3507},
  year   = {2008}
}

Comments

Submitted to IEEE Trans. Information Theory

R2 v1 2026-06-21T10:33:29.750Z