Generating Idempotents of Quintic Residue Codes over the Binary Field

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/).

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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  -