Simplex and MacDonald Codes over $R_{q}$

K. Chatouh; K. Guenda; T. A. Gulliver; L. Noui

Simplex and MacDonald Codes over $R_{q}$

Information Theory 2015-06-09 v2 math.IT

Authors: K. Chatouh , K. Guenda , T. A. Gulliver , L. Noui

Abstract

In this paper, we introduce the homogeneous weight and homogeneous Gray map over the ring $R_{q}=\mathbb{F}_{2}[u_{1},u_{2},\ldots,u_{q}]/\left\langle u_{i}^{2}=0,u_{i}u_{j}=u_{j}u_{i}\right\rangle$ for $q \geq 2$ . We also consider the construction of simplex and MacDonald codes of types $\alpha$ and $\beta$ over this ring.

Cite

@article{arxiv.1505.05428,
  title  = {Simplex and MacDonald Codes over $R_{q}$},
  author = {K. Chatouh and K. Guenda and T. A. Gulliver and L. Noui},
  journal= {arXiv preprint arXiv:1505.05428},
  year   = {2015}
}

Related papers

View all related →