Classification of cyclic codes over a non-Galois chain ring Zp[u]/〈u3〉
- 주제(키워드) Cyclic code , Finite chain ring , Mass formula
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press Inc.
- 발행년도 2019
- URI http://www.dcollection.net/handler/ewha/000000160757
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.ffa.2019.06.003
초록/요약
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
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