The linear time encoding scheme fails to encode
Computational Complexity
2023-12-27 v1
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.
Cite
@article{arxiv.2312.16125,
title = {The linear time encoding scheme fails to encode},
author = {Yotam Dikstein and Irit Dinur and Shiri Sivan},
journal= {arXiv preprint arXiv:2312.16125},
year = {2023}
}