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cs.IT2026
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…
cs.IT2026
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…
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…