We present an infinite family of hyperelliptic curves of genus two over a finite field of even characteristic which are suitable for the vector decomposition problem.
Seungkook Park. "Hyperelliptic Curves for the Vector Decomposition Problem over Fields of Even Characteristic." J. Appl. Math. 2015 1 - 6, 2015. https://doi.org/10.1155/2015/197097