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 $N$.
| Main Authors: | , |
|---|---|
| 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 |
| id |
doaj-d25964724feb41fa95be85a34210cc39 |
|---|---|
| record_format |
Article |
| spelling |
doaj-d25964724feb41fa95be85a34210cc392020-11-25T01:05:51ZengYildiz Technical UniversityJournal of Algebra Combinatorics Discrete Structures and Applications2148-838X2017-01-010084The extension problem for Lee and Euclidean weightsPhilippe LangevinJay A. WoodThe 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 $N$.http://jacodesmath.com/index.php/jacodesmath/article/view/106 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Philippe Langevin Jay A. Wood |
| spellingShingle |
Philippe Langevin Jay A. Wood The extension problem for Lee and Euclidean weights Journal of Algebra Combinatorics Discrete Structures and Applications |
| author_facet |
Philippe Langevin Jay A. Wood |
| author_sort |
Philippe Langevin |
| title |
The extension problem for Lee and Euclidean weights |
| title_short |
The extension problem for Lee and Euclidean weights |
| title_full |
The extension problem for Lee and Euclidean weights |
| title_fullStr |
The extension problem for Lee and Euclidean weights |
| title_full_unstemmed |
The extension problem for Lee and Euclidean weights |
| title_sort |
extension problem for lee and euclidean weights |
| publisher |
Yildiz Technical University |
| series |
Journal of Algebra Combinatorics Discrete Structures and Applications |
| issn |
2148-838X |
| publishDate |
2017-01-01 |
| description |
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 $N$. |
| url |
http://jacodesmath.com/index.php/jacodesmath/article/view/106 |
| work_keys_str_mv |
AT philippelangevin theextensionproblemforleeandeuclideanweights AT jayawood theextensionproblemforleeandeuclideanweights AT philippelangevin extensionproblemforleeandeuclideanweights AT jayawood extensionproblemforleeandeuclideanweights |
| _version_ |
1725192875696717824 |