Generating Idempotents of Quintic Residue Codes over the Binary Field
Authors
Xuedong Dong
Corresponding Author
Xuedong Dong
Available Online September 2016.
- DOI
- 10.2991/meici-16.2016.74How to use a DOI?
- Keywords
- Generating idempotent; Residue code; Cyclic code
- Abstract
It is well known that to construct the generating polynomials of higher power residue codes over finite fields is difficult. This paper gives explicit expressions of generating idempotents of quintic residue codes over the binary field. Using the result obtained, one can construct the generating polynomials of quintic residue codes over the binary field by computing the greatest common divisors of these generating idempotents and the polynomial with computer software such as Matlab and Maple.
- 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
TY - CONF AU - Xuedong Dong PY - 2016/09 DA - 2016/09 TI - Generating Idempotents of Quintic Residue Codes over the Binary Field BT - Proceedings of the 2016 6th International Conference on Management, Education, Information and Control (MEICI 2016) PB - Atlantis Press SP - 357 EP - 362 SN - 1951-6851 UR - https://doi.org/10.2991/meici-16.2016.74 DO - 10.2991/meici-16.2016.74 ID - Dong2016/09 ER -