CODES OVER LOCAL RINGS OF ORDER 16 AND BINARY CODES

被引：9
|
作者：
Dougherty, Steven T. [1 ]
Salturk, Esengul [1 ]
Szabo, Steve [2 ]
机构：
[1] Univ Scranton, Dept Math, Scranton, PA 18510 USA
[2] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2016年 / 10卷 / 02期
关键词：
Codes over rings; Gray maps; SELF-DUAL CODES; DISTANCE;
D O I：
10.3934/amc.2016012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study codes over the commutative local Frobenius rings of order 16 with maximal ideals of size 8. We define a weight preserving Gray map and study the images of these codes as binary codes. We study self-dual codes and determine when they exist.
引用
收藏
页码：379 / 391
页数：13
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