Proceedings of the 7th International Conference on Education, Management, Information and Computer Science (ICEMC 2017)

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Generating Idempotents of Residue Codes over The Binary Field

Authors
Dong Xuedong, Zhang Yan
Corresponding Author
Dong Xuedong
Available Online June 2016.
DOI
10.2991/icemc-17.2017.17How to use a DOI?
Keywords
Generating idempotent; Residue code; Cyclic code
Abstract

This paper gives explicit expressions of generating idempotents of higher power residues codes of length over the binary field, where is a prime. By computing the greatest common divisors of these generating idempotents and the polynomial with computer software such as Matlab and Maple, one can get the generating polynomials of residue codes over the binary field .

Copyright
© 2017, 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 7th International Conference on Education, Management, Information and Computer Science (ICEMC 2017)
Series
Advances in Computer Science Research
Publication Date
June 2016
ISBN
10.2991/icemc-17.2017.17
ISSN
2352-538X
DOI
10.2991/icemc-17.2017.17How to use a DOI?
Copyright
© 2017, 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  - Dong Xuedong
AU  - Zhang Yan
PY  - 2016/06
DA  - 2016/06
TI  - Generating Idempotents of Residue Codes over The Binary Field
BT  - Proceedings of the 7th International Conference on Education, Management, Information and Computer Science (ICEMC 2017)
PB  - Atlantis Press
SP  - 80
EP  - 84
SN  - 2352-538X
UR  - https://doi.org/10.2991/icemc-17.2017.17
DO  - 10.2991/icemc-17.2017.17
ID  - Xuedong2016/06
ER  -