English

Binary linear codes with at most 4 weights

Information Theory 2016-02-03 v1 math.IT

Abstract

For the past decades, linear codes with few weights have been widely studied, since they have applications in space communications, data storage and cryptography. In this paper, a class of binary linear codes is constructed and their weight distribution is determined. Results show that they are at most 4-weight linear codes. Additionally, these codes can be used in secret sharing schemes.

Keywords

Cite

@article{arxiv.1602.00914,
  title  = {Binary linear codes with at most 4 weights},
  author = {Fei Li and Yang Yan and Qiuyan Wang and Tongjiang Yan},
  journal= {arXiv preprint arXiv:1602.00914},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-22T12:41:53.656Z