http://repository.iitr.ac.in/handle/123456789/10397| Title: | Negacyclic codes of length 2k over |
| Authors: | Bandi R.K. Bhaintwal, Maheshanand |
| Published in: | International Journal of Computer Mathematics |
| Abstract: | In this paper, we study negacyclic codes of length 2k over the ring R = ℤ4 + uℤ4, u2 = 0. We give the complete structure of negacyclic codes and determine their cardinalities. The structure of the duals of negacyclic codes is determined and self-dual negacyclic codes are characterized. We present some new good ℤ4 liner codes which are the Gray images of negacylic codes over R. © 2016 Informa UK Limited, trading as Taylor & Francis Group. |
| Citation: | International Journal of Computer Mathematics (2017), 94(3): 454-470 |
| URI: | https://doi.org/10.1080/00207160.2015.1112380 http://repository.iitr.ac.in/handle/123456789/10397 |
| Issue Date: | 2017 |
| Publisher: | Taylor and Francis Ltd. |
| Keywords: | Codes over cyclic codes Gray map negacyclic codes repeated root cyclic codes |
| ISSN: | 207160 |
| Author Scopus IDs: | 55995665400 32867546000 |
| Author Affiliations: | Bandi, R.K., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India Bhaintwal, M., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India |
| Corresponding Author: | Bandi, R.K.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: bandi.ramakrishna@gmail.com |
| Appears in Collections: | Journal Publications [MA] |
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