NDLI: Construction of Network Error Correction Codes in Packet Networks

Content Provider	IEEE Xplore Digital Library
Author	Xuan Guang Fang-Wei Fu Zhen Zhang
Copyright Year	1963
Abstract	Recently, network error correction coding (NEC) has been studied extensively. Several bounds in classical coding theory have been extended to NEC, especially the Singleton bound. In this paper, following the research line using the extended global encoding kernels proposed by Zhang in 2008, the refined Singleton bound of NEC can be proved more explicitly. Moreover, we give a constructive proof of the attainability of this bound and indicate that the required field size for the existence of network maximum distance separable (MDS) codes can become smaller further. By this proof, an algorithm is proposed to construct general linear network error correction codes including the linear network error correction MDS codes. Finally, we study the error correction capability of random linear NEC. Motivated partly by the performance analysis of random linear network coding, we evaluate the different failure probabilities defined in this paper in order to analyze the performance of random linear NEC. Several upper bounds on these probabilities are obtained and they show that these probabilities will approach to zero as the size of the base field goes to infinity. Using these upper bounds, we slightly improve on the probability mass function of the minimum distance of random linear network error correction codes in a paper by Balli and colleagues, as well as the upper bound on the field size required for the existence of linear network error correction codes with degradation at most d.
Sponsorship	IEEE Information Theory Society
Starting Page	1030
Ending Page	1047
Page Count	18
File Size	5813161
File Format	PDF
ISSN	00189448
Volume Number	59
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Error correction codes Encoding Vectors Kernel Decoding Network coding Algorithm design and analysis refined Singleton bound Extended global encoding kernels maximum distance separable (MDS) code network coding network error correction coding (NEC) network error correction code construction random linear network error correction coding
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Linear Network Error Correction Codes in Packet Networks

Refined Coding Bounds and Code Constructions for Coherent Network Error Correction

On Randomized Linear Network Codes and Their Error Correction Capabilities

Improved Nearly-MDS Expander Codes

Maximizing Burst Erasure-Correction Capability of MDS Codes

Multiple-Access Network Information-Flow and Correction Codes

Coded modulation in the block-fading channel: coding theorems and code construction

Recursive Code Construction for Random Networks

Erasure Multiple Descriptions

Construction of Network Error Correction Codes in Packet Networks

Similar Documents

Linear Network Error Correction Codes in Packet Networks

Refined Coding Bounds and Code Constructions for Coherent Network Error Correction

On Randomized Linear Network Codes and Their Error Correction Capabilities

Improved Nearly-MDS Expander Codes

Maximizing Burst Erasure-Correction Capability of MDS Codes

Multiple-Access Network Information-Flow and Correction Codes

Coded modulation in the block-fading channel: coding theorems and code construction

Recursive Code Construction for Random Networks

Erasure Multiple Descriptions

Construction of Network Error Correction Codes in Packet Networks