Abstract
We give a general procedure for weight reducing quantum codes. This corrects a previous work\cite{owr}, and introduces a new technique that we call "coning" to effectively induce high weight stabilizers in an LDPC code. As one application, any LDPC code (with arbitrary stabilizer weights) may be turned into a code where all stabilizers have weight at most at the cost of at most a constant factor increase in number of physical qubits and constant factor reduction in distance. Also, by applying this technique to a quantum code whose -stabilizers are derived from a classical log-weight random code and whose -stabilizers have linear weight, we construct an LDPC quantum code with distance and logical qubits.