Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895587 | Finite Fields and Their Applications | 2018 | 14 Pages |
Abstract
In this paper, we study deep holes of Gabidulin codes in both rank and Hamming metrics. Specifically, first, we give a tight lower bound for the distance of any word to a Gabidulin code and a sufficient and necessary condition for achieving this lower bound as well. Then, a class of deep holes of a Gabidulin code are discovered. Furthermore, we obtain some other deep holes for certain Gabidulin codes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Weijun Fang, Li-Ping Wang, Daqing Wan,