3 papers
cs.IT2026
Skew polycyclic over finite chain rings associated to trinomials
Maryam Bajalan, Edgar MartÃnez-Moro, Hassan Ou-azzou
This work studies skew polycyclic codes over finite chain rings defined by central trinomials. For this class of codes, we investigate Hamming equivalence in the non-commutative (s…
cs.IT2026
Twisted and Twisted Linearized Reed--Solomon Codes, LCD and ACD MDS constructions
Sanjit Bhowmick, Kuntal Deka, Edgar MartÃnez-Moro
We investigate a natural subfamily of twisted linearized Reed--Solomon (TLRS) codes in the sum-rank metric, where the twist is applied only to the constant term. We establish a sim…
math.RA2026
Twisted group algebras of faithful split metacyclic groups over finite fields
Sanjit Bhowmick, Javier de la Cruz, Edgar MartÃnez-Moro
Let be a finite field with elements and let be a faithful split metacyclic group. In this paper, we develop a complete theory for the…