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arXiv · 2509.24794

On the Error Rate of Binary BCH Codes under Error-and-erasure Decoding

Sisi Miao·Jonathan Mandelbaum·Holger Jäkel·Laurent Schmalen
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Abstract

Determining the exact decoding error probability of linear block codes is an interesting problem. For binary BCH codes, McEliece derived methods to estimate the error probability of a simple bounded distance decoding (BDD) for BCH codes. However, BDD falls short in many applications. In this work, we consider error-and-erasure decoding and its improved variants. We derive closed-form expressions for their error probabilities and validate them through simulations. Then, we illustrate their use in assessing concatenated coding schemes.

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Sisi Miao, Jonathan Mandelbaum, Holger Jäkel, Laurent Schmalen. 2025-09-29. On the Error Rate of Binary BCH Codes under Error-and-erasure Decoding. https://arxiv.org/abs/2509.24794

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