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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
이윤진scopus
Issue Date
2018
Journal Title
Finite Fields and their Applications
ISSN
1071-5797JCR Link
Citation
Finite Fields and their Applications vol. 52, pp. 214 - 242
Keywords
Cyclic codeGalois ringGeneratorIdealMass formula
Publisher
Academic Press Inc.
Indexed
SCI; SCIE; SCOPUS WOS 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
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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