7 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 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…
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…
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…
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…
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…