8 citations · 17 across the 12 of their papers we have counts for
4 papers · 1 filter
A geometric approach to the density of rank-metric codes
Shamil Asgarli, Lian Duan, Nathan Kaplan +1
We study the asymptotic density of -point-free linear sections of geometrically irreducible projective varieties over finite fields. We then apply these results to ra…
Frobenius nonclassical hypersurfaces
Shamil Asgarli, Lian Duan, Kuan-Wen Lai
A smooth hypersurface over a finite field is called Frobenius nonclassical if the image of every geometric point under the -th Frobenius endomorphism remains in t…
Transverse linear subspaces to hypersurfaces over finite fields
Shamil Asgarli, Lian Duan, Kuan-Wen Lai
Ballico proved that a smooth projective variety of degree over a finite field of elements admits a smooth hyperplane section if . In this paper,…
Transverse lines to surfaces over finite fields
Shamil Asgarli, Lian Duan, Kuan-Wen Lai
We prove that if is a smooth reflexive surface in defined over a finite field , then there exists an -line meeting transversely p…