Open Access
Research Article
Exponent of cyclic codes over
*N. AnnamalaiCorresponding authoralgebra.annamalai@gmail.comDepartment of Computational Science and HumanitiesPala 686635, KeralaIndian Institute of Information Technology KottayamIndiaView full profile → , Durairajan Chinnapillaicdurai66@rediffmail.comDepartment of MathematicsSchool of Mathematical SciencesTiruchirappalli 620024, Tamil NaduBharathidasan UniversityIndiaView full profile →
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- Received:
- 31 Aug 2020
- Accepted:
- 31 Jan 2021
- Published Online:
- 02 Aug 2021
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1314
- Pages:
- 115–120
Abstract
In this paper, we introduce the exponent of a cyclic code over the finite field with q = pm elements. Also, we prove that the exponent of the dual of cyclic code satisfies the condition n = lcm(e, r) where n is the length of the cyclic code, e = exp(C) and r = exp(C⊥ ).
Keywords
Subject Classifications
(2010) 94B0594B1594B25
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