access icon free Fast decoding for RaptorQ codes using matrix dimensionality reduction

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.

Inspec keywords: matrix algebra; probability; decoding

Other keywords: fast decoding algorithm; RaptorQ codes; code constraint matrix; inverse matrix; erasure probability; matrix dimensionality reduction; failure-overhead curve

Subjects: Algebra; Other topics in statistics; Codes

References

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      • 3. Shokrollahi, A.: ‘Raptor codes’, IEEE Trans. Inf. Theory, 2005, 52, (6), pp. 25522567.
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      • 1. IETF RFC 6330(2011): ‘RaptorQ forward error correction scheme for object delivery’. IETF Proposed Standard, August 2011.
http://iet.metastore.ingenta.com/content/journals/10.1049/el.2014.1381
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