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000856545 019__ $$a1062421565$$a1075185405
000856545 020__ $$a9783319938219$$q(electronic book)
000856545 020__ $$a3319938215$$q(electronic book)
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000856545 020__ $$z9783319938202
000856545 0247_ $$a10.1007/978-3-319-93821-9$$2doi
000856545 035__ $$aSP(OCoLC)on1076244838
000856545 035__ $$aSP(OCoLC)1076244838$$z(OCoLC)1062421565$$z(OCoLC)1075185405
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000856545 050_4 $$aQA171.485
000856545 08204 $$a511.3/32$$223
000856545 1001_ $$aFirer, Marcelo,$$eauthor.
000856545 24510 $$aPoset codes :$$bpartial orders, metrics and coding theory /$$cMarcelo Firer, Marcelo Muniz S. Alves, Jerry Anderson Pinheiro, Luciano Panek.
000856545 264_1 $$aCham :$$bSpringer,$$c2018.
000856545 300__ $$a1 online resource (133 pages)
000856545 336__ $$atext$$btxt$$2rdacontent
000856545 337__ $$acomputer$$bc$$2rdamedia
000856545 338__ $$aonline resource$$bcr$$2rdacarrier
000856545 4901_ $$aSpringerBriefs in mathematics,$$x2191-8198
000856545 504__ $$aIncludes bibliographical references and index.
000856545 5050_ $$aBasic concepts of coding theory -- Poset metrics -- Hierarchical posets -- Disjoint chains with equal length : the Niederreiter-Rosenbloom-Tsfasman metric -- Duality -- The general case : dead ends and hidden passages -- Generalizations, variations and perspectives.
000856545 506__ $$aAccess limited to authorized users.
000856545 520__ $$aThis book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, was first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric - the most important metric used in the context of coding theory - and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and advances towards poset proprieties and generalizations. Each chapter includes a survey of the topic presented and a list of exercises, drawn in part from recently proven propositions. This work will appeal to researchers and graduate students alike, particularly those in the fields of Mathematics, Electrical Engineering and Computer Sciences, with an interest in discrete geometry and coding theory.--$$cProvided by publisher.
000856545 588__ $$aDescription based on print version record.
000856545 650_0 $$aPartially ordered sets.
000856545 7001_ $$aS. Alves, Marcelo Muniz,$$eauthor.
000856545 7001_ $$aPinheiro, Jerry Anderson,$$eauthor.
000856545 7001_ $$aPanek, Luciano,$$eauthor.
000856545 77608 $$iPrint version:$$aFirer, Marcelo.$$tPoset Codes: Partial Orders, Metrics and Coding Theory.$$dCham : Springer, ©2018$$z9783319938202
000856545 830_0 $$aSpringerBriefs in mathematics.
000856545 85280 $$bebk$$hSpringerLink
000856545 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-93821-9$$zOnline Access$$91397441.1
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