Back to Search
Start Over
Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
- Publication Year :
- 2012
-
Abstract
- Cyclic, negacyclic and constacyclic codes are part of a larger class of codes called polycyclic codes; namely, those codes which can be viewed as ideals of a factor ring of a polynomial ring. The structure of the ambient ring of polycyclic codes over GR(p^a,m) and generating sets for its ideals are considered. Along with some structure details of the ambient ring, the existance of a certain type of generating set for an ideal is proven.<br />Comment: arXiv admin note: text overlap with arXiv:0906.4008
- Subjects :
- Mathematics - Rings and Algebras
Computer Science - Information Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1210.0140
- Document Type :
- Working Paper