5 papers · 1 filter
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…
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…