Architecture for a low complexity rate-adaptive Reed-Solomon encoder

摘要

Multiple error-correcting Reed-Solomon (RS) codes have many practical applications. The complexity of an RS encoder depends on multiplications in the finite field over which the code is defined. We consider a triangular basis for representing the field elements, and present an architecture for a rate-adaptive RS encoder using a triangular basis multiplication algorithm. The architecture supports pipeline and bit-serial operations, and has a low circuit complexity.