000			02020nam 2200349| 4500
001			82742
005			20200403163005.0
010			_a978-3-540-30731-0 _dcompra
090			_a82742
100			_a20190128d2006 k||y0pory50 ba
101			_aeng
102			_aDE
200			_aSelf-dual codes and invariant theory _bDocumento eletrónico _fGabriele Nebe, Eric M. Rains, Neil J. A. Sloane
210			_aBerlin, Heidelberg _cSpringer _d2006
215			_aXXIV, 406 p.
225			_aAlgorithms and Computation in Mathematics _h17
300			_aColocação: Online
303			_aOne of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations. It is also in part an encyclopedia that gives a very extensive list of the different types of self-dual codes and their properties, including tables of the best codes that are presently known. Besides self-dual codes, the book also discusses two closely-related subjects, lattices and modular forms, and quantum error-correcting codes. This book, written by the leading experts in the subject, has no equivalent in the literature and will be of great interest to mathematicians, communication theorists, computer scientists and physicists.
410			_x1431-1550 _v17
606			_aTeoria de codificação
606			_aTeoria da dualidade (Matemática)
606			_aInvariantes
680			_aQA268
700			_aNebe _bGabriele
701			_932235 _aRains _bEric M. _4070
701			_932236 _aSloane _bNeil J. A. _4070
801			_gRPC _aPT
856			_uhttps://doi.org/10.1007/3-540-30731-1
942			_2lcc _cF _n0