The extension problem for Lee and Euclidean weights

The extension problem is solved for the Lee and Euclidean weights over three families of rings of the form $\Z/N\Z$: $N=2^{\ell + 1}$, $N=3^{\ell + 1}$, or $N=p=2q+1$ with $p$ and $q$ prime. The extension problem is solved for the Euclidean PSK weight over $\Z/N\Z$ for all $N$.

Bibliographic Details
Main Authors: Philippe Langevin, Jay A. Wood
Format: Article
Language:English
Published: Yildiz Technical University 2017-01-01
Series:Journal of Algebra Combinatorics Discrete Structures and Applications
Online Access:http://jacodesmath.com/index.php/jacodesmath/article/view/106
Description
Summary:The extension problem is solved for the Lee and Euclidean weights over three families of rings of the form $\Z/N\Z$: $N=2^{\ell + 1}$, $N=3^{\ell + 1}$, or $N=p=2q+1$ with $p$ and $q$ prime. The extension problem is solved for the Euclidean PSK weight over $\Z/N\Z$ for all $N$.
ISSN:2148-838X