A Proof of the Stability Condition for Low-Density Erasure Codes

MU Jian-jun; HE Yu-cheng; WANG Xin-mei

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A Proof of the Stability Condition for Low-Density Erasure Codes

更新时间：2025-07-16

- A Proof of the Stability Condition for Low-Density Erasure Codes
- Acta Electronica Sinica Vol. 30, Issue 4, Pages: 530-532(2002)
- 作者机构：
  
  西安电子科技大学综合业务网国家重点实验室,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN919.3
- Published：2002
- 稿件说明：
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MU Jian-jun, HE Yu-cheng, WANG Xin-mei. A Proof of the Stability Condition for Low-Density Erasure Codes[J]. Acta Electronica Sinica, 2002, 30(4): 530-532.
DOI：

MU Jian-jun, HE Yu-cheng, WANG Xin-mei. A Proof of the Stability Condition for Low-Density Erasure Codes[J]. Acta Electronica Sinica, 2002, 30(4): 530-532. DOI：

摘要

基于数学分析中著名的不动点原理

对于低密度纠删码本文证明了其删除错误译码算法稳定收敛的一充分条件.而且指出此条件优于现有的稳定收敛条件.最后对给定的度分布对证明了此译码算法能成功译码时可接受的最大损失δ的几个上界.

Abstract

Based on the known principle of fixed points in mathematical analysis

a sufficient convergence condition of erasure decoding algorithm for erasure codes is shown.Moreover

it is pointed out that this convergence condition is weaker than the convergence condition available.Finally

some upper bounds on the maximum tolerable loss fraction δ for which their decoding is successful are shown given a degree distribution pair.

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Related Institution

School of Computer Science and TechnologyXidian UniversityXi'anShaanxi 710071China

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National Key Lab.of Integrated Service Networks,Xidian University

Guangxi Key Laboratory of Multimedia Communications and Network Technology, Guangxi University Cultivating Base, Guangxi University

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