Showing 2025Show all
3 papers · 1 filter
cs.IT2025
Duality on group algebras over finite chain rings: applications to additive group codes
Maryam Bajalan, Javier de la Cruz, Alexandre Fotue Tabue +1
Given a finite group and an extension of finite chain rings , one can consider the group rings and . The group ring …
cs.IT2025
Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings
Sanjit Bhowmick, Kuntal Deka, Alexandre Fotue Tabue +1
This paper investigates the algebraic structure of additive complementary pairs of cyclic codes over a finite commutative ring. We demonstrate that for every additive complementary…
cs.IT2025
On polycyclic linear and additive codes associated to a trinomial over a finite chain ring
Abdelghaffar Chibloun, Hassan Ou-azzou, Edgar Martínez-Moro +1
In this paper, we investigate polycyclic codes associated with a trinomial of arbitrary degree over a finite chain ring We extend the concepts of -isometry and …