On Constacyclic Codes over Zp1p2...pt

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 prove...

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Bibliographic Details
Published in:数学年刊B辑（英文版） 2019, Vol.40 (4), p.555-566
Main Authors: Derong XIE, Qunying LIAO
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
DOI:10.1007/s11401-019-0151-7