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Linear Network Error Correction Coding: SpringerBriefs in Computer Science

Autor Xuan Guang, Zhen Zhang
en Limba Engleză Paperback – 22 mar 2014
There are two main approaches in the theory of network error correction coding. In this SpringerBrief, the authors summarize some of the most important contributions following the classic approach, which represents messages by sequences similar to algebraic coding, and also briefly discuss the main results following the other approach, that uses the theory of rank metric codes for network error correction of representing messages by subspaces. This book starts by establishing the basic linear network error correction (LNEC) model and then characterizes two equivalent descriptions. Distances and weights are defined in order to characterize the discrepancy of these two vectors and to measure the seriousness of errors. Similar to classical error-correcting codes, the authors also apply the minimum distance decoding principle to LNEC codes at each sink node, but use distinct distances. For this decoding principle, it is shown that the minimum distance of a LNEC code at each sink node can fully characterize its error-detecting, error-correcting and erasure-error-correcting capabilities with respect to the sink node. In addition, some important and useful coding bounds in classical coding theory are generalized to linear network error correction coding, including the Hamming bound, the Gilbert-Varshamov bound and the Singleton bound. Several constructive algorithms of LNEC codes are presented, particularly for LNEC MDS codes, along with an analysis of their performance. Random linear network error correction coding is feasible for noncoherent networks with errors. Its performance is investigated by estimating upper bounds on some failure probabilities by analyzing the information transmission and error correction. Finally, the basic theory of subspace codes is introduced including the encoding and decoding principle as well as the channel model, the bounds on subspace codes, code construction and decoding algorithms.
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Specificații

ISBN-13: 9781493905874
ISBN-10: 1493905872
Pagini: 116
Ilustrații: VI, 107 p. 9 illus.
Dimensiuni: 155 x 235 x 6 mm
Greutate: 0.17 kg
Ediția:2014
Editura: Springer
Colecția Springer
Seria SpringerBriefs in Computer Science

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

Introduction.- Network Error Correction Model.- Another Description of Linear Network Error Correction Model.- Coding Bounds of Linear Network Error Correction Codes.- Random Linear Network Error Correction Coding.- Subspace Codes.

Recenzii

From the book reviews:
“This short book on linear network error-correcting codes is a timely introductory review of a specific area of NC. … for subject experts, it does provide quick reading material on the main concepts in network error correction. Readers can quickly grasp the new research area and start working on problems of interest.” (Manish Gupta, Computing Reviews, December, 2014)

Caracteristici

Includes supplementary material: sn.pub/extras