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Classification of cyclic codes over a non-Galois chain ring Zp[u]/〈u3〉

Title
Classification of cyclic codes over a non-Galois chain ring Zp[u]/〈u3〉
Authors
Kim B.Lee Y.Doo J.
Ewha Authors
이윤진
SCOPUS Author ID
이윤진scopus
Issue Date
2019
Journal Title
Finite Fields and their Applications
ISSN
1071-5797JCR Link
Citation
Finite Fields and their Applications vol. 59, pp. 208 - 237
Keywords
Cyclic codeFinite chain ringMass formula
Publisher
Academic Press Inc.
Indexed
SCI; SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
We explicitly determine generators of cyclic codes over a non-Galois finite chain ring Zp[u]/〈u3〉 of length pk, where p is a prime number and k is a positive integer. We completely classify that there are three types of principal ideals of Zp[u]/〈u3〉 and four types of non-principal ideals of Zp[u]/〈u3〉, which are associated with cyclic codes over Zp[u]/〈u3〉 of length pk. We then obtain a mass formula for cyclic codes over Zp[u]/〈u3〉 of length pk. © 2019
DOI
10.1016/j.ffa.2019.06.003
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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