http://repository.iitr.ac.in/handle/123456789/10617| Title: | Skew quasi-cyclic codes over Galois rings |
| Authors: | Bhaintwal, Maheshanand |
| Published in: | Designs, Codes, and Cryptography |
| Abstract: | Recently there has been a lot of interest on algebraic codes in the setting of skew polynomial rings. In this paper we have studied skew quasi-cyclic (QC) codes over Galois rings. We have given a necessary and sufficient condition for skew cyclic codes over Galois rings to be free, and determined a distance bound for free skew cyclic codes. A sufficient condition for 1-generator skew QC codes to be free is determined. Some distance bounds for free 1-generator skew QC codes are discussed. A canonical decomposition of skew QC codes is presented. © 2011 Springer Science+Business Media, LLC. |
| Citation: | Designs, Codes, and Cryptography (2012), 62(1): 85-101 |
| URI: | https://doi.org/10.1007/s10623-011-9494-0 http://repository.iitr.ac.in/handle/123456789/10617 |
| Issue Date: | 2012 |
| Keywords: | Galois rings Quasi-cyclic codes Skew polynomial rings |
| ISSN: | 9251022 |
| Author Scopus IDs: | 32867546000 |
| Author Affiliations: | Bhaintwal, M., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India |
| Corresponding Author: | Bhaintwal, M.; Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India; email: mahesfma@iitr.ernet.in |
| Appears in Collections: | Journal Publications [MA] |
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