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Codes in the Sum-Rank Metric: Fundamentals and Applications (Foundations and Trends(r) in Communications and Information)

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Description:Hamming distance and rank metric have long been used in coding theory. The sum-rank metric naturally extends these over fields. They have attracted significant attention for their applications in distributed storage systems, multishot network coding, streaming over erasure channels, and multi-antenna wireless communication. In this monograph, the authors provide a tutorial introduction to the theory and applications of sum-rank metric codes over finite fields. At the heart of the monograph is the construction of linearized Reed-Solomon codes, a general construction of maximum sum-rank distance (MSRD) codes with polynomial field sizes. These are specialized classical Reed-Solomon and Gabidulin code constructions in the Hamming and rank metrics, respectively and produce an efficient Welch-Berlekamp decoding algorithm. The authors proceed to develop applications of these codes in distributed storage systems, network coding, and multi-antenna communication are developed before surveying other families of codes in the sum-rank metric, including convolutional codes and subfield subcodes are described, and recent results in the general theory of codes in the sum-rank metric. This tutorial on the topic provides the reader with a comprehensive introduction to both the theory and practices of this important class of codes used in many storage and communication systems. It will be a valuable resource for students, researchers and practising engineers alike.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Codes in the Sum-Rank Metric: Fundamentals and Applications (Foundations and Trends(r) in Communications and Information). To get started finding Codes in the Sum-Rank Metric: Fundamentals and Applications (Foundations and Trends(r) in Communications and Information), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1638280304

Description: Hamming distance and rank metric have long been used in coding theory. The sum-rank metric naturally extends these over fields. They have attracted significant attention for their applications in distributed storage systems, multishot network coding, streaming over erasure channels, and multi-antenna wireless communication. In this monograph, the authors provide a tutorial introduction to the theory and applications of sum-rank metric codes over finite fields. At the heart of the monograph is the construction of linearized Reed-Solomon codes, a general construction of maximum sum-rank distance (MSRD) codes with polynomial field sizes. These are specialized classical Reed-Solomon and Gabidulin code constructions in the Hamming and rank metrics, respectively and produce an efficient Welch-Berlekamp decoding algorithm. The authors proceed to develop applications of these codes in distributed storage systems, network coding, and multi-antenna communication are developed before surveying other families of codes in the sum-rank metric, including convolutional codes and subfield subcodes are described, and recent results in the general theory of codes in the sum-rank metric. This tutorial on the topic provides the reader with a comprehensive introduction to both the theory and practices of this important class of codes used in many storage and communication systems. It will be a valuable resource for students, researchers and practising engineers alike.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Codes in the Sum-Rank Metric: Fundamentals and Applications (Foundations and Trends(r) in Communications and Information). To get started finding Codes in the Sum-Rank Metric: Fundamentals and Applications (Foundations and Trends(r) in Communications and Information), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Codes in the Sum-Rank Metric: Fundamentals and Applications (Foundations and Trends(r) in Communications and Information)

Codes in the Sum-Rank Metric: Fundamentals and Applications (Foundations and Trends(r) in Communications and Information)

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