000			02079nam 2200337| 4500
001			85683
005			20200207155524.0
010			_a978-3-319-93821-9 _dcompra
090			_a85683
100			_a20190128d2018 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aPoset codes _bDocumento electrónico _fMarcelo Firer...[et al.] _epartial orders, metrics and coding theory
210			_aCham _cSpringer International Publishing _cSpringer _d2018
215			_aIX, 127 p. _cil.
225	2		_aSpringerBriefs in Mathematics
300			_aColocação: Online
303			_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.
410	1		_x2191-8198
606			_aÁlgebra
606			_aTeoria de codificação
606			_aGrupos discretos
606			_aTeoria dos números
680			_aQA174
680			_aQA171.5
701			_940443 _aFirer _bMarcelo
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-93821-9
942			_2lcc _cF _n0