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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.
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