Algebraic-Geometric Codes [Softcover reprint of the original 1st ed. 1991] 1402003358, 978-1-4020-0335-6, 978-94-011-3810-9

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Algebraic-Geometric Codes [Softcover reprint of the original 1st ed. 1991]
 1402003358, 978-1-4020-0335-6, 978-94-011-3810-9

Table of contents :
Front Matter....Pages i-xxiv
Front Matter....Pages 1-4
Codes and Their Parameters....Pages 5-35
Examples and Constructions....Pages 37-65
Asymptotic Problems....Pages 67-91
Back Matter....Pages 92-94
Front Matter....Pages 95-100
Algebraic Curves....Pages 101-139
Riemann-Roch Theorem....Pages 141-167
Rational Points....Pages 169-190
Elliptic Curves....Pages 191-213
Singular Curves....Pages 215-232
Reductions and Schemes....Pages 233-255
Back Matter....Pages 256-259
Front Matter....Pages 261-264
Constructions and Properties....Pages 265-296
Examples....Pages 297-329
Decoding....Pages 331-347
Asymptotic Results....Pages 349-385
Back Matter....Pages 386-388
Front Matter....Pages 389-393
Codes on Classical Modular Curves....Pages 395-434
Codes on Drinfeld Curves....Pages 435-469
Polynomiality....Pages 471-510
Back Matter....Pages 511-513
Front Matter....Pages 515-518
Definitions and Examples....Pages 519-537
Asymptotically Dense Packings....Pages 539-549
Number Fields....Pages 551-566
Analogues of AG-Codes....Pages 567-593
Back Matter....Pages 594-596
Back Matter....Pages 597-667

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