Name
Abstract | ||
|---|---|---|
Polycyclic codes are ideals in quotients of polynomial rings by a principal ideal. Special cases are cyclic and constacyclic codes. A MacWilliams relation between such a code and its annihilator ideal is derived. An infinite family of binary self-dual codes that are also formally self-dual in the classical sense is exhibited. We show that right polycyclic codes are left polycyclic codes with different (explicit) associate vectors and characterize the case when a code is both left and right polycyclic for the same associate polynomial. A similar study is led for sequential codes. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.3934/amc.2016049 | ADVANCES IN MATHEMATICS OF COMMUNICATIONS |
Keywords | Field | DocType |
Cyclic codes,formally self-dual codes | Discrete mathematics,Combinatorics,Annihilator,Polynomial,Polynomial ring,Quotient,Duality (optimization),Left and right,Principal ideal,Mathematics,Binary number | Journal |
Volume | Issue | ISSN |
10 | 4 | 1930-5346 |
Citations | PageRank | References |
1 | 0.36 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adel Alahmadi | 1 | 24 | 11.27 |
| Steven T. Dougherty | 2 | 168 | 38.04 |
| André Leroy | 3 | 4 | 1.48 |
| Patrick Solé | 4 | 636 | 89.68 |