Two weight $\mathbb{Z}_{p^k}$-codes, $p$ odd prime
Information Theory
2017-08-18 v1 math.IT
Abstract
We show that regular homogeneous two-weight -codes where is odd and with dual Hamming distance at least four do not exist. The proof relies on existence conditions for the strongly regular graph built on the cosets of the dual code.
Cite
@article{arxiv.1708.05347,
title = {Two weight $\mathbb{Z}_{p^k}$-codes, $p$ odd prime},
author = {MinJia Shi and Zahra Sepasdar and Rongsheng Wu and Patrick Solé},
journal= {arXiv preprint arXiv:1708.05347},
year = {2017}
}
Comments
This paper has been submitted in early 2016