The linear time encoding scheme fails to encode

Yotam Dikstein; Irit Dinur; Shiri Sivan

doi:10.48550/arXiv.2312.16125

The linear time encoding scheme fails to encode

Yotam Dikstein, Irit Dinur, Shiri Sivan

Department of Computer Science and Applied Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article

Abstract

We point out an error in the paper "Linear Time Encoding of LDPC Codes" (by Jin Lu and José 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.

Original language	English
Number of pages	16
Journal	arxiv.org
DOIs	https://doi.org/10.48550/arXiv.2312.16125
State	In preparation - 26 Dec 2023

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title = "The linear time encoding scheme fails to encode",

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.",

author = "Yotam Dikstein and Irit Dinur and Shiri Sivan",

note = "Supported by ERC grant 772839, and ISF grant 2073/21",

year = "2023",

month = dec,

day = "26",

doi = "10.48550/arXiv.2312.16125",

language = "الإنجليزيّة",

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TY - JOUR

T1 - The linear time encoding scheme fails to encode

AU - Dikstein, Yotam

AU - Dinur, Irit

AU - Sivan, Shiri

N1 - Supported by ERC grant 772839, and ISF grant 2073/21

PY - 2023/12/26

Y1 - 2023/12/26

N2 - We point out an error in the paper "Linear Time Encoding of LDPC Codes" (by Jin Lu and José 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.

AB - We point out an error in the paper "Linear Time Encoding of LDPC Codes" (by Jin Lu and José 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.

U2 - 10.48550/arXiv.2312.16125

DO - 10.48550/arXiv.2312.16125

M3 - مقالة

SN - 2331-8422

JO - arxiv.org

JF - arxiv.org

ER -

The linear time encoding scheme fails to encode

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