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Author Tsfasman, M. A. (Michael A.), 1954-
Title Algebraic-geometric codes [electronic resource] / by M.A. Tsfasman and S.G. Vlăduț
Imprint Dordrecht ; Boston : Kluwer Academic Publishers, ©1991
book jacket
Descript 1 online resource (xxiv, 667 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Mathematics and its applications (Soviet series) ; v. 58
Mathematics and its applications (Kluwer Academic Publishers). Soviet series ; 58
Note Includes bibliographical references (p. 631-646) and indexes
Use copy Restrictions unspecified star MiAaHDL
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Description based on print version record
1. Codes -- 1.1. Codes and their parameters -- 1.2. Examples and constructions -- 1.3. Asymptotic problems -- 2. Curves -- 2.1. Algebraic curves -- 2.2. Riemann-Roch theorem -- 2.3. Rational points -- 2.4. Elliptic curves -- 2.5. Singular curves -- 2.6. Reductions and schemes -- 3. AG-Codes -- 3.1. Constructions and properties -- 3.2. Examples -- 3.3. Decoding -- 3.4. Asymptotic results -- 4. Modular Codes -- 4.1. Codes on classical modular curves -- 4.2. Codes on Drinfeld curves -- 4.3. Polynomiality -- 5. Sphere Packings -- 5.1. Definitions and examples -- 5.2. Asymptotically dense packings -- 5.3. Number fields -- 5.4. Analogues of AG-codes -- Appendix. Summary of results and tables -- A.1. Codes of finite length -- A.1.1. Bounds -- A.1.2. Parameters of certain codes -- A.1.3. Parameters of certain constructions -- A.1.4. Binary codes from AG-codes -- A.2. Asymptotic bounds -- A.2.1. List of bounds -- A.2.2. Diagrams of comparison -- A.2.3. Behaviour at the ends -- A.2.4. Numerical values -- A.3. Additional bounds -- A.3.1. Constant weight codes -- A.3.2. Self-dual codes -- A.4. Sphere packings -- A.4.1. Small dimensions -- A.4.2. Certain families -- A.4.3. Asymptotic results -- Author index -- List of symbols
Link Print version: Tsfasman, M.A. (Michael A.), 1954- Algebraic-geometric codes. Dordrecht ; Boston : Kluwer Academic Publishers, ©1991 (DLC) 91012192 (OCoLC)23383587
Subject Coding theory
Geometry, Algebraic
Algebraïsche meetkunde. gtt
Coderingstheorie. gtt
Coding theory. fast (OCoLC)fst00866237
Geometry, Algebraic. fast (OCoLC)fst00940902
Algebraic geometry
Electronic books
Alt Author Vlăduț, S. G. (Serge G.), 1954-
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