English

Linear Codes with Two or Three Weights From Quadratic Bent Functions

Information Theory 2015-10-20 v2 math.IT

Abstract

Linear codes with few weights have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, several classes of pp-ary linear codes with two or three weights are constructed from quadratic Bent functions over the finite field \gfp\gf_p, where pp is an odd prime. They include some earlier linear codes as special cases. The weight distributions of these linear codes are also determined.

Keywords

Cite

@article{arxiv.1506.06830,
  title  = {Linear Codes with Two or Three Weights From Quadratic Bent Functions},
  author = {Zhengchun Zhou and Nian Li and Cuiling Fan and Tor Helleseth},
  journal= {arXiv preprint arXiv:1506.06830},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1503.06512 by other authors

R2 v1 2026-06-22T09:58:16.950Z