| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582662 | Finite Fields and Their Applications | 2016 | 30 Pages |
Abstract
We provide a new concatenated structure for multidimensional quasi-cyclic (Qn DC) codes over FqFq and we give a trace representation for their codewords, which extends the known representations of QC and nD cyclic codes. Based on these results, we obtain a minimum distance bound for QnDC cyclic codes. Since QnDC codes are naturally related to nD convolutional codes, this bound also applies to a special class of 1-generator 2D convolutional codes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ferruh Özbudak, Buket Özkaya,