Optimal solution for the index coding problem using network coding over GF(2)

Jalaluddin Qureshi, Chuan Heng Foh, Jianfei Cai

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

27 Citations (Scopus)

Abstract

The index coding problem is a fundamental transmission problem which occurs in a wide range of multicast networks. Network coding over a large finite field size has been shown to be a theoretically efficient solution to the index coding problem. However the high computational complexity of packet encoding and decoding over a large finite field size, and its subsequent penalty on encoding and decoding throughput and higher energy cost makes it unsuitable for practical implementation in processor and energy constraint devices like mobile phones and wireless sensors. While network coding over GF(2) can alleviate these concerns, it comes at a tradeoff cost of degrading throughput performance. To address this tradeoff, we propose a throughput optimal triangular network coding scheme over GF(2). We show that such a coding scheme can supply unlimited number of innovative packets and the decoding involves the simple back substitution. Such a coding scheme provides an efficient solution to the index coding problem and its lower computation and energy cost makes it suitable for practical implementation on devices with limited processing and energy capacity.

Original languageEnglish
Title of host publication2012 9th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, SECON 2012
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages209-217
Number of pages9
ISBN (Print)9781467319058
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event2012 9th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, SECON 2012 - Seoul, Korea, Republic of (South)
Duration: 18 Jun 201221 Jun 2012

Publication series

NameAnnual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks workshops
Volume1
ISSN (Print)2155-5486
ISSN (Electronic)2155-5494

Conference

Conference2012 9th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, SECON 2012
CountryKorea, Republic of (South)
CitySeoul
Period18/06/1221/06/12

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