On Constacyclic Codes over Zp1p2⋯pt

Let t ≥ 2 be an integer, and let p 1 , ⋯, p t 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 Z p 1 p 2 ⋯ p t and the corresponding explicit enumerating formula...

Full description

Saved in:
Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2019-07, Vol.40 (4), p.555-566
Main Authors: Xie, Derong, Liao, Qunying
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let t ≥ 2 be an integer, and let p 1 , ⋯, p t 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 Z p 1 p 2 ⋯ p t and the corresponding explicit enumerating formula. And it proves that there does not exist any self-dual cyclic code over Z p 1 p 2 ⋯ p t .
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-019-0151-7