LDPC Codes with Local and Global Decoding

Eshed Ram, Yuval Cassuto

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents a theoretical study of a new type of LDPC codes that is highly motivated by practical storage applications. LDPCL codes (suffix L represents locality) are LDPC codes that can be decoded either as usual over the full code block, or locally when a smaller sub-block is accessed (to reduce latency). LDPCL codes are designed to maximize the error-correction performance vs. rate in the usual (global) mode, while at the same time providing a certain performance in the local mode. We develop a theoretical framework for the design of LDPCL codes over the binary erasure channel. Our results include generalizing the density-evolution analysis to two dimensions, proving the existence of a decoding threshold and showing how to compute it, and constructing capacity-achieving sequences for any pair of local and global thresholds. Proofs and more results are made available at the arXiv (http://arxiv.org/abs/1801.03951).

Original languageEnglish
Title of host publication2018 IEEE International Symposium on Information Theory, ISIT 2018
Pages1151-1155
Number of pages5
DOIs
StatePublished - 15 Aug 2018
Event2018 IEEE International Symposium on Information Theory, ISIT 2018 - Vail, United States
Duration: 17 Jun 201822 Jun 2018

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2018-June

Conference

Conference2018 IEEE International Symposium on Information Theory, ISIT 2018
Country/TerritoryUnited States
CityVail
Period17/06/1822/06/18

Keywords

  • Density evolution
  • Iterative decoding
  • Low-density parity-check codes
  • Multi-block coding

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modelling and Simulation
  • Applied Mathematics

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