Fast decoding for RaptorQ codes using matrix dimensionality reduction

Xiao Guo, Gengxin Zhang, Chang Tian, Lei Zhang, Weng‐Dong Zhao · Electronics Letters · 2014

A very fast decoding algorithm using matrix dimensionality reduction for RaptorQ codes is proposed. The algorithm exploits a pre‐calculated inverse matrix to achieve dimensionality reduction for the received code constraint matrix. As a result, the decoding complexity is decreased significantly, whereas the failure‐overhead curve is still identical to that of conventional approaches. Simulations show that the decoding speed of the proposed algorithm can be as fast as 17.5 times the state‐of‐the‐art algorithm when the erasure probability is relatively low.

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