2021
DOI: 10.1080/09720529.2020.1815341
|View full text |Cite
|
Sign up to set email alerts
|

Construction of reversible cyclic codes over ℤpk

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
0
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
2
1

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(2 citation statements)
references
References 18 publications
0
0
0
Order By: Relevance
“…By using Teorem 16, we see that C is an MHDR cyclic code over R. Also, C is an MDS code, since it is principally generated by a monic polynomial and |Tor 0 (C)| � 5 � |Z 5 | n− d H (Tor 0 (C))+1 (using Teorem 13). 4 , so we see that C is an MDS code over R by using Teorem 13. Also, from Teorem 15, we see that C is also an MHDR code.…”
Section: Theorem 12mentioning
confidence: 88%
See 1 more Smart Citation
“…By using Teorem 16, we see that C is an MHDR cyclic code over R. Also, C is an MDS code, since it is principally generated by a monic polynomial and |Tor 0 (C)| � 5 � |Z 5 | n− d H (Tor 0 (C))+1 (using Teorem 13). 4 , so we see that C is an MDS code over R by using Teorem 13. Also, from Teorem 15, we see that C is also an MHDR code.…”
Section: Theorem 12mentioning
confidence: 88%
“…Cyclic codes over fnite chain rings with length coprime to the characteristic of residue feld have been investigated in references [2,16,22]. Islam and Prakash have established a unique set of generators for cyclic codes over Z p k in reference [4] and for cyclic codes over F q + uF q , u 2 � 0 in reference [5]. A. Sharma and T. Sidana have studied cyclic codes of p s length over fnite chain rings in reference [15], thereby extending the results of Kiah et al on cyclic codes over Galois rings [14].…”
Section: Introductionmentioning
confidence: 99%