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math.CO2026
The weak cylinder conjecture for polynomial graphs of bounded degree
Daniele Bartoli, Alessandro Giannoni
Ball's weak cylinder conjecture asserts that a set of points in with at least non-determined directions is a union of parallel lines. We prove the…
cs.IT2026
An infinite family of non-extendable MRD codes
Daniele Bartoli, Alessandro Giannoni, Giuseppe Marino +1
In the realm of rank-metric codes, Maximum Rank Distance (MRD) codes are optimal algebraic structures attaining the Singleton-like bound. A major open problem in this field is dete…