English

A family of projective two-weight linear codes

Information Theory 2021-03-26 v1 math.IT

Abstract

Projective two-weight linear codes are closely related to finite projective spaces and strongly regular graphs. In this paper, a family of qq-ary projective two-weight linear codes is presented, where qq is a power of 2. The parameters of both the codes and their duals are excellent. As applications, the codes are used to derive strongly regular graphs with new parameters and secret sharing schemes with interesting access structures.

Keywords

Cite

@article{arxiv.2103.13633,
  title  = {A family of projective two-weight linear codes},
  author = {Ziling Heng and Dexiang Li and Jiao Du and Fuling Chen},
  journal= {arXiv preprint arXiv:2103.13633},
  year   = {2021}
}
R2 v1 2026-06-24T00:32:32.704Z