2 citations · 5 across the 10 of their papers we have counts for
14 papers
Hull Variation in Symplectic Linear Codes
Kanat Abdukhalikov, Somi Gupta, Duy Ho
We study the variation of hull dimensions of symplectic linear codes under equivalence transformations preserving the symplectic distance. For a symplectic linear code , we intr…
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…
Ovoids in the cyclic presentation of PG(3,q)
Kanat Abdukhalikov, Simeon Ball, Duy Ho +1
We consider the cyclic presentation of whose points are in the finite field and describe the known ovoids therein. We revisit the set , co…
A family of flat Minkowski planes over convex functions
Duy Ho
Using suitable convex functions, we construct a new family of flat Minkowski planes whose automorphism groups are at least -dimensional. These planes admit groups of automorphis…
Extended cyclic codes, maximal arcs and ovoids
Kanat Abdukhalikov, Duy Ho
We show that extended cyclic codes over with parameters , , determine regular hyperovals. We also show that extended cyclic codes with parameters $…
Polar coordinates view on KM-arcs
Kanat Abdukhalikov, Duy Ho
We study presentations of KM-arcs in polar coordinates. New characterizations on the points set of KM-arcs are obtained in terms of power sums and bilinear forms. We also construct…
Vandermonde sets and hyperovals
Kanat Abdukhalikov, Duy Ho
We consider relationships between Vandermonde sets and hyperovals. Hyperovals are Vandermonde sets, but, in general, Vandermonde sets are not hyperovals. We give necessary and suff…
Three-dimensional connected groups of automorphisms of toroidal circle planes
Brendan Creutz, Duy Ho, Günter F. Steinke
We contribute to the classification of toroidal circle planes and flat Minkowski planes possessing three-dimensional connected groups of automorphisms. When such a group is an almo…
On automorphism groups of toroidal circle planes
Brendan Creutz, Duy Ho, Günter F. Steinke
Schenkel proved that the automorphism group of a flat Minkowski plane is a Lie group of dimension at most 6 and described planes whose automorphism group has dimension at least 4 o…