Performance Analysis of Algebraic Soft Decoding of Reed-Solomon Codes over Binary Symmetric and Erasure Channels

Preprint

17 June 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cs/0506072

Abstract

In this paper, we characterize the decoding region of algebraic soft decoding (ASD) of Reed-Solomon (RS) codes over erasure channels and binary symmetric channel (BSC). Optimal multiplicity assignment strategies (MAS) are investigated and tight bounds are derived to show the ASD can significantly outperform conventional Berlekamp Massey (BM) decoding over these channels for a wide code rate range. The analysis technique can also be extended to other channel models, e.g., RS coded modulation over erasure channels.

Keywords

ALGEBRAIC SOFT DECODING
CODES OVER ERASURE
ERASURE CHANNELS
SOFT DECODING
REED SOLOMON
SOLOMON
BSC

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