http://repository.iitr.ac.in/handle/123456789/19026| Title: | Codes over ℤ4+vℤ4 |
| Authors: | Bandi R.K. Bhaintwal, Maheshanand Comer D.E. Mueller P. Mallick B. Mukherjea S. Thampi S.M. Krishnaswamy D. Sikora A. |
| Published in: | Proceedings of 2014 International Conference on Advances in Computing, Communications and Informatics, ICACCI 2014 |
| Abstract: | In this paper we study linear codes over the ring R = ℤ4 + vℤ4, where v2 = v. Using a Gray map on R we obtain the MacWilliams identities for both Lee and Gray weight enumerators for codes over R. We also briefly discuss self-dual codes over R. We give some construction methods of self-dual and self-orthogonal codes, and illustrate them with some examples. © 2014 IEEE. |
| Citation: | Proceedings of 2014 International Conference on Advances in Computing, Communications and Informatics, ICACCI 2014, (2014), 422- 427 |
| URI: | https://doi.org/10.1109/ICACCI.2014.6968489 http://repository.iitr.ac.in/handle/123456789/19026 |
| Issue Date: | 2014 |
| Publisher: | Institute of Electrical and Electronics Engineers Inc. |
| Keywords: | Computer programming Computer science Construction method Gray map Linear codes MacWilliams identities Self-dual Self-dual codes Self-orthogonal code Weight enumerator Codes (symbols) |
| ISBN: | 9.78E+12 |
| 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 |
| Appears in Collections: | Conference Publications [MA] |
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