http://repository.iitr.ac.in/handle/123456789/19024| Title: | On linear codes over a non-chain extension of F2 + UF2 |
| Authors: | Srinivasulu B. Bhaintwal, Maheshanand |
| Published in: | Proceedings of 2015 3rd International Conference on Computer, Communication, Control and Information Technology, C3IT 2015 |
| Abstract: | In this paper we study linear codes over a new ring R = F2 + uF2 + vF2 + uvF2 with u2 = 0, v2 = v and uv = vu, which is a non chain extension of the ring F2+uF2, u2 =0. We have obtained Mac Williams identities for Lee weight enumerator of linear codes over R using a Gray map from Rn to (F2 +uF2)n. We have studied self-dual codes over R and determined some existential conditions for Type I and Type II codes over R. Further we have briefly studied cyclic codes over R. It is shown that R[x]/xn - 1 is a PIR when n is odd. The form of the generator of a cyclic code of odd length over R is obtained. © 2015 IEEE. |
| Citation: | Proceedings of 2015 3rd International Conference on Computer, Communication, Control and Information Technology, C3IT 2015, (2015) |
| URI: | https://doi.org/10.1109/C3IT.2015.7060155 http://repository.iitr.ac.in/handle/123456789/19024 |
| Issue Date: | 2015 |
| Publisher: | Institute of Electrical and Electronics Engineers Inc. |
| Keywords: | Chains Chain extension Cyclic code Gray map Lee weight Linear codes Odd length Self-dual codes Type II codes Codes (symbols) |
| ISBN: | 9.78E+12 |
| Author Scopus IDs: | 56712612400 32867546000 |
| Author Affiliations: | Srinivasulu, B., 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] |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.