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Association for Women in Mathematics Series

Algebraic Geometry for Coding Theory and Cryptography

IPAM, Los Angeles, CA, February 2016

Editors: Howe, Everett W., Lauter, Kristin, Walker, Judy (Eds.)

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  • Addresses new problems in coding theory and cryptography using algebraic geometryPresents recent cross-disciplinary research from the February 2016 conference at IPAM

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eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-63931-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-63930-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-87675-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM). The conference gathered research communities across disciplines to share ideas and problems in their fields and formed small research groups made up of graduate students, postdoctoral researchers, junior faculty, and group leaders who designed and led the projects. Peer reviewed and revised, each of this volume's five papers achieves the conference’s goal of using algebraic geometry to address a problem in either coding theory or cryptography. Proposed variants of the McEliece cryptosystem based on different constructions of codes, constructions of locally recoverable codes from algebraic curves and surfaces, and algebraic approaches to the multicast network coding problem are only some of the topics covered in this volume. Researchers and graduate-level students interested in the interactions between algebraic geometry and both coding theory and cryptography will find this volume valuable.

Table of contents (5 chapters)

Table of contents (5 chapters)
  • Representations of the Multicast Network Problem

    Pages 1-23

    Anderson, Sarah E. (et al.)

  • Hypersurfaces in Weighted Projective Spaces Over Finite Fields with Applications to Coding Theory

    Pages 25-61

    Aubry, Yves (et al.)

  • Isogenies for Point Counting on Genus Two Hyperelliptic Curves with Maximal Real Multiplication

    Pages 63-94

    Ballentine, Sean (et al.)

  • Locally Recoverable Codes from Algebraic Curves and Surfaces

    Pages 95-127

    Barg, Alexander (et al.)

  • Variations of the McEliece Cryptosystem

    Pages 129-150

    Bolkema, Jessalyn (et al.)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-63931-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-63930-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-87675-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Geometry for Coding Theory and Cryptography
Book Subtitle
IPAM, Los Angeles, CA, February 2016
Editors
  • Everett W. Howe
  • Kristin Lauter
  • Judy Walker
Series Title
Association for Women in Mathematics Series
Series Volume
9
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s) and the Association for Women in Mathematics
eBook ISBN
978-3-319-63931-4
DOI
10.1007/978-3-319-63931-4
Hardcover ISBN
978-3-319-63930-7
Softcover ISBN
978-3-319-87675-7
Series ISSN
2364-5733
Edition Number
1
Number of Pages
XV, 150
Number of Illustrations
6 b/w illustrations, 2 illustrations in colour
Topics