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 Tsfasman, M. A. (Michael A.), 1954 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — x, 453 pages : illustration ; 27 cm.
 Summary

 Curves with many points. I: Modular curves Class field theory Curves with many points. II Infinite global fields Decoding: Some examples Sphere packings Codes from multidimensional varieties Applications Appendix: Some basic facts from Volume
 1 Bibliography List of names Index.
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QA3 .A4 V.238  Unavailable In process Request 
 Tsfasman, M. A. (Michael A.), 1954
 Providence, R.I. : American Mathematical Society, c2007.
 Description
 Book — xix, 338 p. : ill. ; 27 cm.
 Summary

 Codes Curves Curves over finite fields Algebraic geometry codes Summary of results and tables Bibliography List of names Index.
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QA3 .A4 V.139  Unknown 
 Tsfasman, M. A. (Michael A.), 1954
 Dordrecht ; Boston : Kluwer Academic Publishers, ©1991.
 Description
 Book — 1 online resource (xxiv, 667 pages) : illustrations.
 Summary

 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. RiemannRoch theorem
 2.3. Rational points
 2.4. Elliptic curves
 2.5. Singular curves
 2.6. Reductions and schemes
 3. AGCodes
 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 AGcodes
 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 AGcodes
 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. Selfdual 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.
 Berlin ; New York : SpringerVerlag, c1992.
 Description
 Book — 223 p.
 Summary

A volume of workshop proceedings which explores several aspects of coding theory, including exponential sums, codes constructed from special curves, the decoding of algebraic geometric codes, trace codes, the asymptotic number of points on algebraic curves and sphere packings.
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SAL1&2 (oncampus shelving)
SAL1&2 (oncampus shelving)  Status 

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Shelved by Series title V.1518  Unknown 
 International Conference "Arithmetic, Geometry and Coding Theory" (11th : 2007 : Marseille, France)
 Providence, R.I. : American Mathematical Society, c2009.
 Description
 Book — vii, 206 p. : ill. ; 26 cm.
 Summary

This volume contains the proceedings of the 11th conference on AGC2T, held in Marseilles, France in November 2007. There are 12 original research articles covering asymptotic properties of global fields, arithmetic properties of curves and higher dimensional varieties, and applications to codes and cryptography. This volume also contains a survey article on applications of finite fields by J.P. Serre. AGC2T conferences take place in Marseilles, France every 2 years. These international conferences have been a major event in the area of applied arithmetic geometry for more than 20 years.
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Science Library (Li and Ma)
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QA242.5 .I58 2007  Unknown 
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