  We correct the proof of the theorem in the previous paper presented by the
first named author, which concerns Sturm bounds for Siegel modular forms of
degree $2$ and of even weights modulo a prime number dividing $2\cdot 3$. We
give also Sturm bounds for them of odd weights for any prime numbers, and we
prove their sharpness. The results cover the case where Fourier coefficients
are algebraic numbers.
