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Algebraic geometry for coding theory and cryptography: IPAM, Los Angeles, CA, February 2016

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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
Representations of the Multicast Network Problem
Hypersurfaces in Weighted Projective Spaces Over Finite Fields with Applications to Coding Theory
Isogenies for Point Counting on Genus Two Hyperelliptic Curves with Maximal Real Multiplication
Locally Recoverable Codes from Algebraic Curves and Surfaces
Variations of the McEliece Cryptosystem

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Detail Information

Series Title

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Call Number

652.8 HOW a

Publisher

Cham : Springer., 2017

Collation

xv, 150 hlm.; ilus.; 24 cm

Language

English

ISBN/ISSN

9783319639307

Classification

652.8

Content Type

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Media Type

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Carrier Type

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Edition

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Subject(s)

Cryptography
Coding Theory

Specific Detail Info

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Statement of Responsibility

Everett W. Howe, Kristin E. Lauter, and Judy. L Walker

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