http://repository.iitr.ac.in/handle/123456789/19023
Title: | Cyclic codes over ℤ4 + uℤ4 |
Authors: | Bandi R.K. Bhaintwal, Maheshanand |
Published in: | Proceedings of 7th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2015 |
Abstract: | In this paper, we study cyclic codes over the ring R = ℤ4 + uℤ4, u2 = 0. We discuss the Galois ring extensions of R and the ideal structure of these extensions. We have studied cyclic codes of odd lengths over R and also presented 1-generator cyclic codes over R interms nth roots of unity. Some examples are given to illustrate the results. © 2015 IEEE. |
Citation: | Proceedings of 7th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2015, (2016), 47- 51 |
URI: | https://doi.org/10.1109/IWSDA.2015.7458411 http://repository.iitr.ac.in/handle/123456789/19023 |
Issue Date: | 2016 |
Publisher: | Institute of Electrical and Electronics Engineers Inc. |
Keywords: | Codes over ℤ4 + uℤ4 Cyclic codes Galois rings Cyclic code Galois ring Nth root Odd length 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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