The linear time encoding scheme fails to encode

Yotam Dikstein; Irit Dinur; Shiri Sivan

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arXiv · 2312.16125

The linear time encoding scheme fails to encode

Yotam Dikstein·Irit Dinur·Shiri Sivan

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Abstract

We point out an error in the paper "Linear Time Encoding of LDPC Codes" (by Jin Lu and Jos\'e M. F. Moura, IEEE Trans). The paper claims to present a linear time encoding algorithm for every LDPC code. We present a family of counterexamples, and point out where the analysis fails. The algorithm in the aforementioned paper fails to encode our counterexample, let alone in linear time.

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Yotam Dikstein, Irit Dinur, Shiri Sivan. 2023-12-26. The linear time encoding scheme fails to encode. https://arxiv.org/abs/2312.16125

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