2 citations · 5 across the 10 of their papers we have counts for
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New distance bounds for one-generator quasi-cyclic codes with applications to Hermitian LCD codes and entanglement-assisted quantum codes
Kanat Abdukhalikov, Duy Ho, Rasha M. Shat
We introduce lower bounds on the minimum distance of one-generator quasi-cyclic codes of arbitrary index, obtained by puncturing and shortening the code at the level of its blocks.…
On systematicity of linear function-correcting codes
Duy Ho
The standard formulation of function-correcting codes uses systematic encodings. We study the redundancy cost of this constraint when both the prescribed function and the encoding…
Hermitian hull-variation of vector rank-metric codes and self-orthogonal generalized Gabidulin codes
Duy Ho
We study the Hermitian hull-variation problem for vector rank-metric codes. Except for one parameter pair, we show that the Hermitian hull dimension of such a code can be reduced t…
On the equivalence between additive and linear codes
Kanat Abdukhalikov, Duy Ho
Additive codes have attracted considerable attention for their potential to outperform linear codes. However, distinguishing strictly additive codes from those that are equivalent…
Linear Complementary Pairs of Quasi-Cyclic and Quasi-Twisted Codes
Kanat Abdukhalikov, Duy Ho, San Ling +1
In this paper, we provide a polynomial characterization of linear complementary pairs of quasi-cyclic and quasi-twisted codes of index 2. We also give several examples of linear co…
Linear complementary dual quasi-cyclic codes of index 2
Kanat Abdukhalikov, Duy Ho, San Ling +1
We provide a polynomial approach to investigate linear complementary dual (LCD) quasi-cyclic codes over finite fields. We establish necessary and sufficient conditions for LCD quas…