5 papers
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 …
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…
On polycyclic linear and additive codes associated to a trinomial over a finite chain ring
Abdelghaffar Chibloun, Hassan Ou-azzou, Edgar MartÃnez-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 …
Galois hulls of constacyclic codes over affine algebra rings
Indibar Debnath, Habibul Islam, Edgar MartÃnez-Moro +1
Let the affine algebra given by the ring , where is the ideal …
On general self-orthogonal matrix-product codes associated with Toeplitz matrices
Yang Li, Shixin Zhu, Edgar MartÃnez-Moro
In this paper, we present four constructions of {general} self-orthogonal matrix-product codes associated with Toeplitz matrices. The first one relies on the {dual} of a known {gen…