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cs.IT2025
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…
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…