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cs.IT2021★ 1 cited
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 …
cs.IT2021
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…
cs.IT2020
Lifted Codes and Lattices from Codes Over Finite Chain Rings
Reguia Lamia Bouzara, Kenza Guenda, Edgar Martínez-Moro
In this paper we give the generalization of lifted codes over any finite chain ring. This has been done by using the construction of finite chain rings from -adic fields. Furthe…