rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Algebraic Function Fields and Codes
  name:
    name part: Stichtenoth, Henning.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 360 p. online resource.
  abstract: The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of the theory of function fields. This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basic material. Other exercises are more advanced and cover additional material which could not be included in the text. This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography, coding theory and electrical engineering.
  table of contents: Foundations of the Theory of Algebraic Function Fields -- Algebraic Geometry Codes -- Extensions of Algebraic Function Fields -- Differentials of Algebraic Function Fields -- Algebraic Function Fields over Finite Constant Fields -- Examples of Algebraic Function Fields -- Asymptotic Bounds for the Number of Rational Places -- More about Algebraic Geometry Codes -- Subfield Subcodes and Trace Codes.
  note: by Henning Stichtenoth.
  subject:
    topic: Mathematics
  subject:
    topic: Data structures (Computer science)
  subject:
    topic: Algebra
  subject:
    topic: Algebraic geometry
  subject:
    topic: Information theory
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Data Structures, Cryptology and Information Theory
  subject:
    topic: Information and Communication, Circuits
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Graduate Texts in Mathematics, 254
  identifier: 9783540768784
  identifier: http://dx.doi.org/10.1007/978-3-540-76878-4
  record info:
    record creation date: 100301
    record change date: 20151123193930.0
    record identifier: 978-3-540-76878-4