Construction of Tetha-Cyclic Codes over an Algebra of Order 4

DOI

10.2991/iccst-15.2015.27How to use a DOI?

Keywords

BCH codes, Berlekamp-Massey decoding algorithm, binary cyclic codes, tetha-cyclic codes, gray map

Abstract

In this paper, we show that tetha-cyclic codes over algebra A1 = F2+vF2 can be constructed from binary cyclic codes using a bijection map from A1 to F2 X F2. We also give a decoding algorithm for tetha-cyclic codes which are constructed using well-known BCH codes over binary field.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Irwansyah
AU  - Intan Muchtadi-Alamsyah
AU  - Aleams Barra
AU  - Ahmad Muchlis
AU  - Djoko Supriyanto
PY  - 2015/01
DA  - 2015/01
TI  - Construction of Tetha-Cyclic Codes over an Algebra of Order 4
BT  - Proceedings of the 3rd International Conference on Computation for Science and Technology
PB  - Atlantis Press
SP  - 141
EP  - 143
SN  - 2352-538X
UR  - https://doi.org/10.2991/iccst-15.2015.27
DO  - 10.2991/iccst-15.2015.27
ID  - 2015/01
ER  -