  This paper determines the normal forms of hyperelliptic supersingular curves
of genus g over an algebraically closed field F of characteristic 2 for 0 < g<
9. We also show that every hyperelliptic supersingular curve of genus 9 over F
has an equation y^2-y=x^19+c^8x^9+c^3x for some c in F_2bar. The paper
determines the dimensions of the open locus of hyperelliptic supersingular
curves of genus g < 10 over F_2bar.
