On optimal constant weight codes derived from $\omega$-circulant balanced generalized weighing matrices

Hadi Kharaghani; Thomas Pender; Vladimir D. Tonchev

On optimal constant weight codes derived from $\omega$-circulant balanced generalized weighing matrices

Combinatorics 2023-07-26 v1

Authors: Hadi Kharaghani , Thomas Pender , Vladimir D. Tonchev

Abstract

A family of $\omega$ -circulant balanced weighing matrices with classical parameters is used for the construction of optimal constant weight codes over an alphabet of size $g+1$ and length $n=(q^m -1)/(q-1)$ , where $q$ is an odd prime power, $m>1$ , and $g$ is a divisor of $q-1$ .

Keywords

coding theory combinatorial designs linear sets

Cite

@article{arxiv.2307.13662,
  title  = {On optimal constant weight codes derived from $\omega$-circulant balanced generalized weighing matrices},
  author = {Hadi Kharaghani and Thomas Pender and Vladimir D. Tonchev},
  journal= {arXiv preprint arXiv:2307.13662},
  year   = {2023}
}

Comments

10 pages

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