English

Three Families of Projective Binary Linear Codes of at Most Four Weights

Information Theory 2025-08-26 v1 math.IT

Abstract

Three classes of binary linear codes with at most four nonzero weights were constructed in this paper, in which two of them are projective three-weight codes. As applications, ss-sum sets for any odd s>1 s > 1 were constructed.

Keywords

Cite

@article{arxiv.2508.18030,
  title  = {Three Families of Projective Binary Linear Codes of at Most Four Weights},
  author = {Tonghui Zhang and Pinhui Ke and Zuling Chang},
  journal= {arXiv preprint arXiv:2508.18030},
  year   = {2025}
}