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On Constacyclic Codes over Zp1p2⋯pt.
- Source :
-
Chinese Annals of Mathematics . Jul2019, Vol. 40 Issue 4, p555-566. 12p. - Publication Year :
- 2019
-
Abstract
- 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 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 . [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC codes
*CIPHERS
*INTEGERS
*ORTHOGONALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 02529599
- Volume :
- 40
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Chinese Annals of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 137000946
- Full Text :
- https://doi.org/10.1007/s11401-019-0151-7