9 papers
On -rank additive intersection pairs (RAIP) of codes
Sanjit Bhowmick, Kuntal Deka, Sihem Mesnager
This paper introduces and studies \(\ell\)-rank additive intersection pairs (RAIP) of codes over finite fields for a given positive integer \(\ell\). The notion of \(\ell\)-RAIP pr…
Twisted and Twisted Linearized Reed--Solomon Codes, LCD and ACD MDS constructions
Sanjit Bhowmick, Kuntal Deka, Edgar Martínez-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…
Twisted group algebras of faithful split metacyclic groups over finite fields
Sanjit Bhowmick, Javier de la Cruz, Edgar Martínez-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…
Hermitian LCD -Quasi Abelian Codes over Finite Chain Rings
Sanjit Bhowmick, Kuntal Deka
This paper introduces a class of Hermitian LCD -quasi-abelian codes over finite fields and presents a comprehensive enumeration of these codes in which relative minimum weights…
LCPs of Subspace Codes
Sanjit Bhowmick
A subspace code is a nonempty collection of subspaces of the vector space . A pair of linear codes is called a linear complementary pair (in short LCP) of codes i…
On Construction of Linear (Euclidean) Hull Codes over Finite Extensions Binary Fields
Sanjit Bhowmick, Deepak Kumar Dalai, Sihem Mesnager
The hull of a linear code is defined as the intersection of the code and its dual. This concept was initially introduced to classify finite projective planes. The hull plays a cruc…
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…
Linear complementary pairs of codes over a finite non-commutative Frobenius ring
Sanjit Bhowmick, Xiusheng Liu
In this paper, we study linear complementary pairs (LCP) of codes over finite non-commutative local rings. We further provide a necessary and sufficient condition for a pair of cod…
Additive Complementary Pairs of Codes
Sanjit Bhowmick, Deepak Kumar Dalai
An additive code is an -linear subspace of over , which is not a linear subspace over . Linear complementary…