5 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
A Note on a Standard Model for Galois Rings
E. Martínez-Moro, A. Piñera-Nicolás, I. F. Rúa
In this work, we present a standard model for Galois rings based on the standard model of their residual fields, that is, a sequence of Galois rings starting with ${\mathbb Z}_{p^r…
Cyclic codes over a non-chain ring and their application to LCD codes
Habibul Islam, Edgar Martínez-Moro, Om Prakash
Let be a finite field of order , a prime power integer such that where are integers. In this paper, we study cyclic codes of length …
A transform approach to polycyclic and serial codes over rings
Maryam Bajalan, Edgar Martínez-Moro, Steve Szabo
In this paper, a transform approach is used for polycyclic and serial codes over finite local rings in the case that the defining polynomials have no multiple roots. This allows us…
Galois hulls of cyclic serial codes over a finite chain ring
Sarra Talbi, Aicha Batoul, Alexandre Fotue Tabue +1
In this paper, we explore some properties of Galois hulls of cyclic serial codes over a chain ring and we devise an algorithm for computing all the possible parameters of the Eucli…