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010   $a3-319-67882-5
024 7 $a10.1007/978-3-319-67882-5
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035   $a(DE-He213)978-3-319-67882-5
035   $a(PPN)226697339
035   $a(EXLCZ)994530000000000075
100   $a20180402d2017      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLattices Applied to Coding for Reliable and Secure Communications /$fby Sueli I.R. Costa, Frédérique Oggier, Antonio Campello, Jean-Claude Belfiore, Emanuele Viterbo
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (123 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a3-319-67881-7 
327   $aIntroduction -- Lattices and Applications -- Lattices from Codes -- Ideal Lattices -- Lattices and Spherical Codes -- Lattice and Index Coding.
330   $aThis book provides a first course on lattices ? mathematical objects pertaining to the realm of discrete geometry, which are of interest to mathematicians for their structure and, at the same time, are used by electrical and computer engineers working on coding theory and cryptography. The book presents both fundamental concepts and a wealth of applications, including coding and transmission over Gaussian channels, techniques for obtaining lattices from finite prime fields and quadratic fields, constructions of spherical codes, and hard lattice problems used in cryptography. The topics selected are covered in a level of detail not usually found in reference books. As the range of applications of lattices continues to grow, this work will appeal to mathematicians, electrical and computer engineers, and graduate or advanced undergraduate in these fields.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aConvex geometry 
606   $aDiscrete geometry
606   $aCoding theory
606   $aInformation theory
606   $aData encryption (Computer science)
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
606   $aCoding and Information Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/I15041
606   $aCryptology$3https://scigraph.springernature.com/ontologies/product-market-codes/I28020
615  0$aConvex geometry .
615  0$aDiscrete geometry.
615  0$aCoding theory.
615  0$aInformation theory.
615  0$aData encryption (Computer science).
615 14$aConvex and Discrete Geometry.
615 24$aCoding and Information Theory.
615 24$aCryptology.
676   $a511.33
700   $aCosta$b Sueli I.R$4aut$4http://id.loc.gov/vocabulary/relators/aut$0917108
702   $aOggier$b Frédérique$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aCampello$b Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aBelfiore$b Jean-Claude$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aViterbo$b Emanuele$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910279756203321
996   $aLattices Applied to Coding for Reliable and Secure Communications$92056063
997   $aUNINA