000			02050nam 2200313| 4500
001			82626
005			20200310161002.0
010			_a978-3-540-31703-6 _dcompra
090			_a82626
100			_a20190128d2006 k||y0pory50 ba
101			_aeng
102			_aUS
200			_aError-correcting linear codes _bDocumento eletrónico _eclassification by isometry and applications _fAnton Betten ... [et al.]
210			_aBerlin, Heidelberg _cSpringer _d2006
215			_aXXIX, 798 p.
225			_aAlgorithms and Computation in Mathematics _h18
300			_aColocação: Online
303			_aThis text offers a thorough introduction to the mathematical concepts behind the theory of error-correcting linear codes. Care is taken to introduce the necessary algebraic concepts, for instance the theory of finite fields, the polynomial rings over such fields and the ubiquitous concept of group actions that allows the classification of codes by isometry. The book provides in-depth coverage of important topics like cyclic codes and the coding theory used in compact disc players. The final four chapters cover advanced and algorithmic topics like the classification of linear codes by isometry, the enumeration of isometry classes, random generation of codes, the use of lattice basis reduction to compute minimum distances, the explicit construction of codes with given parameters, as well as the systematic evaluation of representatives of all isometry classes of codes. Up until now, these advanced topics have only been covered in research papers. The present book provides access to these results at a level which is suitable for graduate students of mathematics, computer science and engineering as well as for researchers.
410			_x1431-1550 _v18
606			_aAnálise combinatória
606			_aTeoria de codificação
680			_aQA164
701			_932063 _aBetten _bAnton _4070
801			_gRPC _aPT
856			_uhttps://doi.org/10.1007/3-540-31703-1
942			_2lcc _cF _n0