On symbol-triple distance of a class of constacyclic codes of length 3ps over Fpm + uFpm
Let p ≠ 3 be any prime. In this paper, we completely determine symbol-triple distance of all γ-constacyclic codes of length 3 p s over the finite commutative chain ring R = F p m + u F p m , where γ is a unit of R which is not a cube in F p m . We give the necessary and sufficient condition for a sy...
Saved in:
Published in | IEEE access Vol. 11; p. 1 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
IEEE
15.02.2023
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | Let p ≠ 3 be any prime. In this paper, we completely determine symbol-triple distance of all γ-constacyclic codes of length 3 p s over the finite commutative chain ring R = F p m + u F p m , where γ is a unit of R which is not a cube in F p m . We give the necessary and sufficient condition for a symbol-triple γ-constacyclic code to be an MDS symbol-triple code. Using that, we establish all MDS symbol-triple γ-constacyclic codes of length 3 p s over R . Some examples of the symbol-triple distance of γ-constacyclic codes of length 3 p s over R are provided. We also list some new MDS symbol-triple γ-constacyclic codes of length 3 p s over R , where γ is not a cube in F p m . |
---|---|
ISSN: | 2169-3536 |
DOI: | 10.1109/ACCESS.2023.3245520 |