Preprint
Sep 2026
A geometric approach to the density of rank-metric codes
We study the asymptotic density of $\mathbb{F}_q$-point-free linear sections of geometrically irreducible projective varieties over finite fields. We then apply these results to rank-metric codes via determinantal varieties. Our approach recovers the known cases in which the density tends to $0$ or $1$ and determines t...
Shamil Asgarli, Lian Duan, Nathan Kaplan et al.
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