English

Two new classes of projective two-weight linear codes

Information Theory 2021-11-22 v2 math.IT

Abstract

In this paper, for an odd prime pp, several classes of two-weight linear codes over the finite field Fp\mathbb{F}_p are constructed from the defining sets, and then their complete weight distributions are determined by employing character sums. These codes can be suitable for applications in secret sharing schemes. Furthermore, two new classes of projective two-weight codes are obtained, and then two new classes of strongly regular graphs are given.

Keywords

Cite

@article{arxiv.2107.02446,
  title  = {Two new classes of projective two-weight linear codes},
  author = {Canze Zhu and Qunying Liao},
  journal= {arXiv preprint arXiv:2107.02446},
  year   = {2021}
}
R2 v1 2026-06-24T03:55:22.744Z