1. A system for accelerated error-correcting code (ECC) processing comprising: a processing core for executing computer instructions and accessing data from a main memory; and a non-volatile storage medium for storing the computer instructions, wherein the processing core, the storage medium, and the computer instructions are configured to implement an erasure coding system comprising: a data matrix for holding original data in the main memory; a check matrix for holding check data in the main memory; an encoding matrix for holding first factors in the main memory, the first factors being for encoding the original data into the check data; and a thread for executing on the processing core and comprising: a parallel multiplier for concurrently multiplying multiple data entries of a matrix by a single factor; and a first sequencer for ordering operations through the data matrix and the encoding matrix using the parallel multiplier to generate the check data.