A transform approach to polycyclic and serial codes over rings |
| |
| Affiliation: | 1. Department of Mathematics, Malayer University, Hamedan, Iran;2. Institute of Mathematics, University of Valladolid, Castilla, Spain;3. Department of Mathematics & Statistics, Eastern Kentucky University, United States of America |
| |
| Abstract: | In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us to study them in terms of linear algebra and invariant subspaces as well as understand the duality in terms of the transform domain. We also make a characterization of when two polycyclic ambient spaces are Hamming-isometric. |
| |
| Keywords: | Polycyclic code Duality Finite local ring Mattson-Solomon transform Serial codes |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
