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자연과학대학
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A mass formula for cyclic codes over Galois rings of characteristic p3
Title
A mass formula for cyclic codes over Galois rings of characteristic p3
Authors
Kim B.
;
Lee Y.
Ewha Authors
이윤진
SCOPUS Author ID
이윤진
Issue Date
2018
Journal Title
Finite Fields and their Applications
ISSN
1071-5797
Citation
Finite Fields and their Applications vol. 52, pp. 214 - 242
Keywords
Cyclic code
;
Galois ring
;
Generator
;
Ideal
;
Mass formula
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
We completely determine the explicit generators of cyclic codes of length pk(k≥1) over a Galois ring of characteristic p3 by their residue degree, and their two torsional degrees; there are exactly three types of cyclic codes, that is, one-generator, two-generator and three-generator cyclic codes. Using this classification result, we explicitly obtain a mass formula for cyclic codes of length pk over a Galois ring of characteristic p3. © 2018
DOI
10.1016/j.ffa.2018.04.005
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