English

Trace codes over $\Z_4$ and Boolean function

Information Theory 2017-07-04 v1 math.IT

Abstract

We construct trace codes over Z4\Z_4 by using Boolean functions and skew sets, respectively. Their Lee weight distribution is studied by using a Galois ring version of the Walsh-Hadamard transform and exponential sums. We obtain a new family of optimal two-weight codes over Z4.\Z_4.

Keywords

Cite

@article{arxiv.1707.00153,
  title  = {Trace codes over $\Z_4$ and Boolean function},
  author = {Minjia Shi and Yan Liu and Randriam Hugues and Lin Sok and Patrick Sole},
  journal= {arXiv preprint arXiv:1707.00153},
  year   = {2017}
}
R2 v1 2026-06-22T20:35:12.305Z