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100   $a20200508d2020      u|             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 12$aA Course in Algebraic Error-Correcting Codes$b[electronic resource] /$fby Simeon Ball
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020.
215   $a1 online resource (185 pages) $cillustrations
225 1 $aCompact Textbooks in Mathematics,$x2296-4568
311   $a3-030-41152-4 
320   $aIncludes bibliographical references and index.
327   $aEuclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.
330   $aThis textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon?s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.
410  0$aCompact Textbooks in Mathematics,$x2296-4568
606   $aInformation theory
606   $aCoding theory
606   $aCommutative algebra
606   $aCommutative rings
606   $aInformation and Communication, Circuits$3https://scigraph.springernature.com/ontologies/product-market-codes/M13038
606   $aCoding and Information Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/I15041
606   $aCommutative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11043
615  0$aInformation theory.
615  0$aCoding theory.
615  0$aCommutative algebra.
615  0$aCommutative rings.
615 14$aInformation and Communication, Circuits.
615 24$aCoding and Information Theory.
615 24$aCommutative Rings and Algebras.
676   $a005.717
700   $aBall$b Simeon$4aut$4http://id.loc.gov/vocabulary/relators/aut$0978508
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418256203316
996   $aA Course in Algebraic Error-Correcting Codes$92230333
997   $aUNISA