16 citations · 31 across the 10 of their papers we have counts for
6 papers · 1 filter
Some Constacyclic Codes over Finite Chain Rings
Aicha Batoul, Kenza Guenda, T. Aaron Gulliver
For an -th power of a unit in a finite chain ring we prove that -constacyclic repeated-root codes over some finite chain rings are equivalent to cyclic codes. This allows…
Repeated Root Constacyclic Codes of Length over
Kenza Guenda, T. Aaron Gulliver
We give the structure of -constacyclic codes of length over with $λ\in \F_{p^r}^*$. We also give the…
On Cyclic DNA Codes
Kenza Guenda, T. Aaron Gulliver
This paper considers cyclic DNA codes of arbitrary length over the ring $R=\F_2[u]/u^4-1$. A mapping is given between the elements of and the alphabet which allow…
Self-dual Repeated Root Cyclic and Negacyclic Codes over Finite Fields
Kenza Guenda, T. Aaron Gulliver
In this paper we investigate repeated root cyclic and negacyclic codes of length over with . In the case odd, we give necessary and sufficien…
MDS and Self-dual Codes over Rings
Kenza Guenda, T. Aaron Gulliver
In this paper we give the structure of constacyclic codes over formal power series and chain rings. We also present necessary and sufficient conditions on the existence of MDS code…
On the Automorphism Groups and Equivalence of Cyclic Combinatorial Objects
Kenza Guenda, T. Aaron Gulliver
We determine the permutation groups that arise as the automorphism groups of cyclic combinatorial objects. As special cases we classify the automorphism groups of cyclic codes. We…