A class of skew-constacyclic codes over ℤ4 + uℤ4
A Sharma, M Bhaintwal - International Journal of …, 2017 - inderscienceonline.com
In this paper, we study a class of skew-constacyclic codes over R= ℤ4+ uℤ4, which is a non-
chain extension of ℤ4. Some structural properties of R [x, θ] are discussed, where θ is an
automorphism of R. We determine a necessary condition and a sufficient condition for these
codes to be free, when they are principally generated. A Gray map over R is defined and
some good codes are obtained using it. For even n, a relation between the generator
polynomial of a code and that of its dual is obtained. Some examples are given to illustrate …
chain extension of ℤ4. Some structural properties of R [x, θ] are discussed, where θ is an
automorphism of R. We determine a necessary condition and a sufficient condition for these
codes to be free, when they are principally generated. A Gray map over R is defined and
some good codes are obtained using it. For even n, a relation between the generator
polynomial of a code and that of its dual is obtained. Some examples are given to illustrate …
[引用][C] A class of skew constacyclic codes over with derivation
M El Hamdaoui, H Ou-Azzou, A Boua - … Algorithms and Applications, 2024 - World Scientific
In this paper, we are interested in the class of (λ, δσ)-constacyclic codes with derivation over
the ring R= Z4+ uZ4, where u 2= 0, σ is an automorphism of R and δσ is a σ-derivation (skew
derivation). Like the case of cyclic codes and their generalizations we proved the one to one
correspondence between (λ, δσ)-constacyclic codes and the left
the ring R= Z4+ uZ4, where u 2= 0, σ is an automorphism of R and δσ is a σ-derivation (skew
derivation). Like the case of cyclic codes and their generalizations we proved the one to one
correspondence between (λ, δσ)-constacyclic codes and the left
以上显示的是最相近的搜索结果。 查看全部搜索结果