Network Coding and Subspace Designs

丛 书 名：Signals and Communication Technology

版本说明：1st ed. 2018

作     者：Marcus Greferath Mario Osvin Pavčević Natalia Silberstein María Ángeles Vázquez-Castro 

I S B N：(纸本) 9783319702926 

出 版 社：Springer International Publishing 

出 版 年：2018年

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0701[理学-数学] 0811[工学-控制科学与工程] 

摘      要：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 readers to this striking new approach to network coding, in which the network is not simply viewed as a mechanism for delivering packets, but rather an algebraic structure named thesubspace,which these packets span. This leads to a new kind of coding theory, employing what are calledsubspace codes. The book presents selected, highly relevant advanced research output on: Subspace Codes and Rank Metric Codes; Finite Geometries and Subspace Designs; Application of Network Coding; Codes for Distributed Storage Systems. The outcomes reflect research conducted within the framework of the European COST Action IC1104:Random Network Coding and Designs over GF(q). Taken together, they offer communications engineers, R&D engineers, researchers and graduate students in Mathematics, Computer Science, and Electrical Engineering a comprehensive reference guide to the construction of optimal network codes, as well as efficient encoding and decoding schemes for a given network code.