Comparison of the Lee and homogenous weights over a family of chain rings

Adel Alahmadi; Ahmad Alkenani; Rahmah Alomari; Najat Muthana; Patrick Sole; Bahattin Yildiz

doi:10.4134/BKMS.b170202

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Bull. Korean Math. Soc. 2018; 55(2): 633-647

Online first article March 15, 2018 Printed March 30, 2018

https://doi.org/10.4134/BKMS.b170202

Comparison of the Lee and homogenous weights over a family of chain rings

Adel Alahmadi, Ahmad Alkenani, Rahmah Alomari, Najat Muthana, Patrick Sole, Bahattin Yildiz

King Abdulaziz University, King Abdulaziz University, King Abdulaziz University, King Abdulaziz University, University of Paris 8, Northern Arizona University

Abstract

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Abstract

We compare the Lee and homogenous weights over the chain ring $S_{q,m}=\F_q[u]/(u^m)$ by computing the minimum distance of random codes for small values of $n,q,m.$

Keywords: Lee weight, homogeneous weight, chain rings

MSC numbers: Primary 94B60; Secondary 13M99