| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8895631 | Finite Fields and Their Applications | 2018 | 29 Pages |
Abstract
We completely determine the explicit generators of cyclic codes of length pk(kâ¥1) over a Galois ring of characteristic p3 by their residue degree, and their two torsional degrees; there are exactly three types of cyclic codes, that is, one-generator, two-generator and three-generator cyclic codes. Using this classification result, we explicitly obtain a mass formula for cyclic codes of length pk over a Galois ring of characteristic p3.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Boran Kim, Yoonjin Lee,