Retrieving Reed-Solomon coded data under interpolation-based list decoding

Details Retrieving Reed-Solomon coded data under interpolation-based list decoding Retrieving Reed-Solomon coded data under interpolation-based list decoding

2006-12-12

arxiv.org/abs/cs/0612067v1

Computer Science

Information Theory

10 pages. Submitted to IEEE information theory for possible publication

Scientific paper

A transform that enables generator-matrix-based Reed-Solomon (RS) coded data
to be recovered under interpolation-based list decoding is presented. The
transform matrix needs to be computed only once and the transformation of an
element from the output list to the desired RS coded data block incurs $k^{2}$
field multiplications, given a code of dimension $k$.

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