On Constacyclic Codes over Z p 1 p 2 ⋯ p t

Let t ≥ 2 be an integer, and let p1, ⋯, pt be distinct primes. By using algebraic properties, the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2⋯pt and the corresponding explicit enumerating formula. And it p...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2019-01, Vol.40 (4), p.555-566
Main Authors: Xie, Derong, Liao, Qunying
Format: Article
Language:English
Online Access:Get full text
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Summary:Let t ≥ 2 be an integer, and let p1, ⋯, pt be distinct primes. By using algebraic properties, the present paper gives a sufficient and necessary condition for the existence of non-trivial self-orthogonal cyclic codes over the ring Zp1p2⋯pt and the corresponding explicit enumerating formula. And it proves that there does not exist any self-dual cyclic code over Zp1p2⋯pt.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-019-0151-7