Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge 3$, under a certain probabilistic conjecture

Alexander A. Davydov, Giorgio Faina, Stefano Marcugini +1

In the projective space $\mathrm{PG}(N,q)$ over the Galois field of order $q$, $N\ge 3$, an iterative step-by-step construction of complete caps by adding a new point on every step…