Linear Network Error Correction Coding (SpringerBriefs in - download pdf or read online

By Xuan Guang,Zhen Zhang

There are major methods within the concept of community errors correction coding. during this SpringerBrief, the authors summarize the most vital contributions following the vintage method, which represents messages by way of sequences similar to algebraic coding, and additionally in short talk about the most effects following the other approach, that makes use of the idea of rank metric codes for community blunders correction of representing messages by means of subspaces.

This e-book begins via setting up the fundamental linear community mistakes correction (LNEC) version after which characterizes an identical descriptions. Distances and weights are outlined with the intention to represent the discrepancy of those vectors and to degree the seriousness of error. just like classical error-correcting codes, the authors additionally practice the minimal distance deciphering precept to LNEC codes at each one sink node, yet use exact distances. For this deciphering precept, it's proven that the minimal distance of a LNEC code at every one sink node can totally symbolize its error-detecting, error-correcting and erasure-error-correcting features with recognize to the sink node. additionally, a few very important and helpful coding bounds in classical coding concept are generalized to linear community mistakes correction coding, together with the Hamming certain, the Gilbert-Varshamov sure and the Singleton sure. a number of confident algorithms of LNEC codes are awarded, really for LNEC MDS codes, besides an research in their functionality. Random linear community blunders correction coding is possible for noncoherent networks with blunders. Its functionality is investigated by means of estimating higher bounds on a few failure possibilities by way of examining the data transmission and blunder correction. eventually, the fundamental thought of subspace codes is brought together with the encoding and deciphering precept in addition to the channel version, the boundaries on subspace codes, code building and deciphering algorithms.

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Linear Network Error Correction Coding (SpringerBriefs in Computer Science) by Xuan Guang,Zhen Zhang

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