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"Algebraic function fields and codes" was published by Springer-Verlag in 1993 - Berlin, the book is classified in bibliography genre, it has 260 pages and the language of the book is English.


“Algebraic function fields and codes” Metadata:

  • Title: ➤  Algebraic function fields and codes
  • Author:
  • Language: English
  • Number of Pages: 260
  • Publisher: Springer-Verlag
  • Publish Date:
  • Publish Location: Berlin
  • Genres: bibliography
  • Dewey Decimal Classification: 512/.74
  • Library of Congress Classification: QA341 .S75 1993

“Algebraic function fields and codes” Subjects and Themes:

Edition Specifications:

  • Number of Pages: x, 260 p. : ill. ; 24 cm.
  • Pagination: x, 260 p. ;

Edition Identifiers:

AI-generated Review of “Algebraic function fields and codes”:


"Algebraic function fields and codes" Table Of Contents:

  • 1- Ch. I. Foundations of the Theory of Algebraic Function Fields
  • 2- I.1. Places
  • 3- I.2. The Rational Function Field
  • 4- I.3. Independence of Valuations
  • 5- I.4. Divisors
  • 6- I.5. The Riemann
  • 7- och Theorem
  • 8- I.6. Some Consequences of the Riemann
  • 9- och Theorem
  • 10- I.7. Local Components of Weil Differentials
  • 11- Ch. II. Geometric Goppa Codes
  • 12- II. 1. Codes
  • 13- II. 2. Geometric Goppa Codes
  • 14- II. 3. Geometric Goppa Codes Associated with the Rational Function Field
  • 15- Ch. III. Extensions of Algebraic Function Fields
  • 16- III. 1. Algebraic Extensions of Function Fields
  • 17- III. 2. Subrings of Function Fields
  • 18- III. 3. Local Integral Bases
  • 19- III. 4. The Cotrace of Weil Differentials and the Hurwitz Genus Formula
  • 20- III. 5. The Different
  • 21- III. 6. Constant Field Extensions
  • 22- III. 7. Galois Extensions I
  • 23- III. 8. Galois Extensions II
  • 24- III. 9. Inseparable Extensions
  • 25- III. 10. Estimates for the Genus of a Function Field
  • 26- Ch. IV. Differentials of Algebraic Function Fields
  • 27- IV. 1. Derivations and Differentials
  • 28- IV. 2. The P
  • 29- dic Completion
  • 30- IV. 3. Differentials and Weil Differentials
  • 31- Ch. V. Algebraic Function Fields over Finite Constant Fields
  • 32- V.1. The Zeta Function of a Function Field
  • 33- V.2. The Hasse
  • 34- eil Theorem
  • 35- V.3. Improvements of the Hasse
  • 36- eil Bound
  • 37- Ch. VI. Examples of Algebraic Function Fields
  • 38- VI. 1. Elliptic Function Fields
  • 39- VI. 2. Hyperelliptic Function Fields
  • 40- VI. 3. Tame Cyclic Extensions of the Rational Function Field
  • 41- VI. 4. Some Elementary Abelian p
  • 42- xtensions of K(x), char K = p> 0
  • 43- Ch. VII. More about Geometric Goppa Codes
  • 44- VII. 1. The Residue Representation of C[subscript Omega](D, G)
  • 45- VII. 2. Long Codes
  • 46- VII. 3. Automorphisms
  • 47- VII. 4. Hermitian Codes
  • 48- VII. 5. Decoding Geometric Goppa Codes
  • 49- Ch. VIII. Subfield Subcodes and Trace Codes
  • 50- VIII. 1. On the Dimension of Subfield Subcodes and Trace Codes
  • 51- VIII. 2. Weights of Trace Codes. Appendix A. Field Theory
  • 52- Appendix B. Algebraic Curves and Algebraic Function Fields.

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