Titlebook: Network Coding and Subspace Designs; Marcus Greferath,Mario Osvin Pav?evi?,María ángele Book 2018 Springer International Publishing AG 201

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1860-4862 used as a reference textbook for advanced courses on coding.This book, written by experts from universities and major research laboratories, addresses the hot topic of network coding, a powerful scheme for information transmission in networks that yields near-optimal throughput. It introduces reade

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Generalizing Subspace Codes to Flag Codes Using Group Actionsization, where we replace subspace codes with flag codes. We describe and analyze a channel model for these new codes that is similar to the operator channel introduced by Koetter and Kschischang, give examples of flag codes and discuss how to compute sphere packing and sphere covering bounds for flag codes.

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Constructions of Cyclic Subspace Codes and Maximum Rank Distance Codesnear maps that these polynomials represent. All known constructions of maximum rank distance codes in the literature are summarized using this linearized polynomial representation. Connections among the constructions and further explanations are also provided.

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碎石頭

Constructions of Constant Dimension Codesmetric, in particular those matrices whose non-zero entries constitute certain Ferrers diagrams. A large part of the survey is then concerned with orbit codes, i.e., subsets of the Grassmannian that can be expressed as the orbit under an action of an algebraic group. Finally we review several constr

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Multi-shot Network Codingent shots can improve the error-correction capabilities. A very natural way to impose correlation of codewords(subspaces) over time is by means of convolutional codes, originating the notion of rank metric convolutional codes. In this Chapter we review some of the main results and ideas of multi-sho

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-Analogs of Designs: Subspace Designsamilies, intersection numbers, and automorphisms of subspace designs. In addition, .-Steiner systems and so called large sets of subspace designs will be covered. Finally, this survey aims to be a comprehensive source for all presently known subspace designs and large sets of subspace designs with s

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