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Algebraic geometry for coding theory...

IPAM (Conference) ((2016 :)

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic geometry for coding theory and cryptography/ edited by Everett W. Howe, Kristin E. Lauter, Judy L. Walker.
Reminder of title:	IPAM, Los Angeles, CA, February 2016 /
other author:	Howe, Everett W.
corporate name:	IPAM (Conference)
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xv, 150 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Representations of the Multicast Network Problem -- 2. Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory -- 3. Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication -- 4. Locally recoverable codes from algebraic curves and surfaces -- 5. Variations of the McEliece Cryptosystem.
Contained By:	Springer eBooks
Subject:	Geometry, Algebraic - Congresses. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-63931-4
ISBN:	9783319639314

Algebraic geometry for coding theory and cryptography = IPAM, Los Angeles, CA, February 2016 /
Algebraic geometry for coding theory and cryptographyIPAM, Los Angeles, CA, February 2016 /[electronic resource] :edited by Everett W. Howe, Kristin E. Lauter, Judy L. Walker. - Cham :Springer International Publishing :2017. - xv, 150 p. :ill., digital ;24 cm. - Association for women in mathematics series,v.92364-5733 ;. - Association for women in mathematics series ;v.9..

1. Representations of the Multicast Network Problem -- 2. Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory -- 3. Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication -- 4. Locally recoverable codes from algebraic curves and surfaces -- 5. Variations of the McEliece Cryptosystem.

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.

ISBN: 9783319639314

Standard No.: 10.1007/978-3-319-63931-4doiSubjects--Topical Terms:

540562
Geometry, Algebraic
--Congresses.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Algebraic geometry for coding theory and cryptography = IPAM, Los Angeles, CA, February 2016 /
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505 0 $a 1. Representations of the Multicast Network Problem -- 2. Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory -- 3. Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication -- 4. Locally recoverable codes from algebraic curves and surfaces -- 5. Variations of the McEliece Cryptosystem.
520 $a 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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650 2 4 $a Mathematical Applications in Computer Science. $3 1567978
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