Benedek Kovács

A superlinear improvement on line-free sets in Fp3

Building on an earlier result of the author together with Elsholtz, Führer, Füredi, Pach, Simon and Velich, we present an improved construction for a line-free set in 𝔽 3 𝑝 , having size at least ( 𝑝 − 1 ) 3 + 1 8 ⁢ 𝑝 3 / 2 − 𝑂 ⁡ ( 𝑝 ) as 𝑝 → ∞ . This results in a superlinear-ter...