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http://dx.doi.org/10.4134/BKMS.b170202

COMPARISON OF THE LEE AND HOMOGENOUS WEIGHTS OVER A FAMILY OF CHAIN RINGS  

Alahmadi, Adel (Department of Mathematics King Abdulaziz University)
Alkenani, Ahmad (Department of Mathematics King Abdulaziz University)
Alomari, Rahmah (Department of Mathematics King Abdulaziz University)
Muthana, Najat (Department of Mathematics King Abdulaziz University)
Sole, Patrick (Department of Mathematics University of Paris 8)
Yildiz, Bahattin (Department of Mathematics Northern Arizona University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.2, 2018 , pp. 633-647 More about this Journal
Abstract
We compare the Lee and homogenous weights over the chain ring $S_{q,m}={\mathbb{F}}_q[u]/(u^m)$ by computing the minimum distance of random codes for small values of n, q, m.
Keywords
Lee weight; homogeneous weight; chain rings;
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