LEADER 02972nam  22005535  450 
001 9910254276703321
005 20220330185415.0
010   $a3-319-59806-6
024 7 $a10.1007/978-3-319-59806-2
035   $a(CKB)4340000000062057
035   $a(MiAaPQ)EBC4898813
035   $a(DE-He213)978-3-319-59806-2
035   $a(PPN)203670035
035   $a(EXLCZ)994340000000062057
100   $a20170704d2017      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aAlgebraic coding theory over finite commutative rings /$fby Steven T. Dougherty
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (103 pages) $cillustrations, tables
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a3-319-59805-8 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $aIntroduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.
330   $aThis book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, it has grown as a branch of mathematics, and has since been expanded to consider any finite field, and later also Frobenius rings, as its alphabet. This book presents a broad view of the subject as a branch of pure mathematics and relates major results to other fields, including combinatorics, number theory and ring theory. Suitable for graduate students, the book will be of interest to anyone working in the field of coding theory, as well as algebraists and number theorists looking to apply coding theory to their own work.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aAssociative rings
606   $aRings (Algebra)
606   $aInformation theory
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aInformation and Communication, Circuits$3https://scigraph.springernature.com/ontologies/product-market-codes/M13038
615  0$aAssociative rings.
615  0$aRings (Algebra)
615  0$aInformation theory.
615 14$aAssociative Rings and Algebras.
615 24$aInformation and Communication, Circuits.
676   $a512.4
700   $aDougherty$b Steven T$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767155
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254276703321
996   $aAlgebraic Coding Theory Over Finite Commutative Rings$91561688
997   $aUNINA