Add to ORKGIn this work, we define $G$-codes over the infinite ring $R_\infty$ as ideals in the group ring $R_\infty G$. We show that the dual of a $G$-code is again a $G$-code in this setting. We study the projections and lifts of $G$-codes over the finite chain rings and over the formal power series rings respectively. We extend known results of constructing $\gamma$-adic codes over $R_\infty$ to $\gamma$-adic $G$-codes over the same ring. We also study $G$-codes over principal ideal rings
i, u1u2 − u2u1,..., ukuj − ujuk,...), and Fq[u, v]/ ui, vj, uv − vu, where Fq is a field with q ele-...
AbstractIn this paper we give the structure of constacyclic codes over formal power series and chain...
Given an integer m which is a product of distinct primes pi, a method is given for constructing code...
In this work, we define $G$-codes over the infinite ring $R_\infty$ as ideals in the group ring $R_\...
In this work, we define $G$-codes over the infinite ring $R_\infty$ as ideals in the group ring $R_\...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
The final publication is available at Springer via http://dx.doi.org/10.1007/s10623-017-0440-7We des...
In this paper, we study lifted codes over finite chain rings. We use γ-adic codes over a formal powe...
We generalise structure theorems of Calderbank and Sloane for linear and cyclic codes over Zpa to a ...
AbstractIt is well known that cyclic linear codes of length n over a (finite) field F can be charact...
In this paper, R is a finite chain ring of invariants (q, s), and ℓ is a positive integer fulfilling...
This work is focused on linear error-correcting codes over chain rings. By a linear code over a chai...
From Springer Nature via Jisc Publications RouterHistory: received 2020-09-25, accepted 2021-03-24, ...
i, u1u2 − u2u1,..., ukuj − ujuk,...), and Fq[u, v]/ ui, vj, uv − vu, where Fq is a field with q ele-...
AbstractIn this paper we give the structure of constacyclic codes over formal power series and chain...
Given an integer m which is a product of distinct primes pi, a method is given for constructing code...
In this work, we define $G$-codes over the infinite ring $R_\infty$ as ideals in the group ring $R_\...
In this work, we define $G$-codes over the infinite ring $R_\infty$ as ideals in the group ring $R_\...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
In this paper, we extend the work done on $G$-codes over formal power series rings and finite chain ...
The final publication is available at Springer via http://dx.doi.org/10.1007/s10623-017-0440-7We des...
In this paper, we study lifted codes over finite chain rings. We use γ-adic codes over a formal powe...
We generalise structure theorems of Calderbank and Sloane for linear and cyclic codes over Zpa to a ...
AbstractIt is well known that cyclic linear codes of length n over a (finite) field F can be charact...
In this paper, R is a finite chain ring of invariants (q, s), and ℓ is a positive integer fulfilling...
This work is focused on linear error-correcting codes over chain rings. By a linear code over a chai...
From Springer Nature via Jisc Publications RouterHistory: received 2020-09-25, accepted 2021-03-24, ...
i, u1u2 − u2u1,..., ukuj − ujuk,...), and Fq[u, v]/ ui, vj, uv − vu, where Fq is a field with q ele-...
AbstractIn this paper we give the structure of constacyclic codes over formal power series and chain...
Given an integer m which is a product of distinct primes pi, a method is given for constructing code...