# What is the best known FPT result for 3-hitting set?

My research problem involves solving a special instance of the 3-Hitting Set problem, and I was wondering whether my result is actually significant (i.e. if it is better than the best known result for 3-Hitting Set).

I'm specifically interested in the case where the parameter is the optimal hitting set size.

I know the paper by Niedermeier and Rossmanith that presents an algorithm of run-time $O(2.27^k + n)$, but that paper is pretty old.

According to the Parameterized Complexity Wiki, the currently best known FPT algorithm for 3-Hitting-Set has a complexity of $2.076^k \cdot n^{O(1)}$, the algorithm is from the PhD thesis of Magnus Wahlström.