Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer

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The Structure of Cyclic Codes

Authors
Xuedong Dong
Corresponding Author
Xuedong Dong
Available Online June 2016.
DOI
10.2991/mmebc-16.2016.348How to use a DOI?
Keywords
Linear Code; Cyclic code; Finite ring
Abstract

A code is a cyclic code if and only if is a -submodule of the ring . Perfect additive codes have been utilized in the subject of steganography. The algebraic structure of cyclic codes was determined in 2014. In this paper we determine the algebraic structure of cyclic codes ,where is an odd prime. Any cyclic code can be generated by two elememts and C is one of three types. The results obtained may have some promising applications.

Copyright
© 2016, 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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Volume Title
Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer
Series
Advances in Engineering Research
Publication Date
June 2016
ISBN
978-94-6252-210-7
ISSN
2352-5401
DOI
10.2991/mmebc-16.2016.348How to use a DOI?
Copyright
© 2016, 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/).

Cite this article

risenwbib
TY  - CONF
AU  - Xuedong Dong
PY  - 2016/06
DA  - 2016/06
TI  - The Structure of Cyclic Codes
BT  - Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer
PB  - Atlantis Press
SP  - 1713
EP  - 1716
SN  - 2352-5401
UR  - https://doi.org/10.2991/mmebc-16.2016.348
DO  - 10.2991/mmebc-16.2016.348
ID  - Dong2016/06
ER  -