  Long quantum codes using projective Reed-Muller codes are constructed.
Projective Reed-Muller are evaluation codes obtained by evaluating homogeneous
polynomials at the projective space. We obtain asymmetric and symmetric quantum
codes by using the CSS construction and the Hermitian construction,
respectively. We provide entanglement-assisted quantum error-correcting codes
from projective Reed-Muller codes with flexible amounts of entanglement by
considering equivalent codes. Moreover, we also construct quantum codes from
subfield subcodes of projective Reed-Muller codes.
