The $L$-polynomials of van der Geer--van der Vlugt curves in characteristic $2$

Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima

The van der Geer--van der Vlugt curves form a class of Artin--Schreier coverings of the projective line over finite fields. We provide an explicit formula for their $L$-polynomials…