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020 _a9783319639314
_9978-3-319-63931-4
024 7 _a10.1007/978-3-319-63931-4
_2doi
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072 7 _aPBMW
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072 7 _aMAT012010
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072 7 _aPBMW
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082 0 4 _a516.35
_223
245 1 0 _aAlgebraic Geometry for Coding Theory and Cryptography
_h[electronic resource] :
_bIPAM, Los Angeles, CA, February 2016 /
_cedited by Everett W. Howe, Kristin E. Lauter, Judy L. Walker.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXV, 150 p. 8 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAssociation for Women in Mathematics Series,
_x2364-5733 ;
_v9
505 0 _a1. 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 _aCovering 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.
650 0 _aAlgebraic geometry.
650 0 _aComputer science—Mathematics.
650 0 _aComputer mathematics.
650 0 _aData encryption (Computer science).
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aMathematical Applications in Computer Science.
_0http://scigraph.springernature.com/things/product-market-codes/M13110
650 2 4 _aCryptology.
_0http://scigraph.springernature.com/things/product-market-codes/I28020
700 1 _aHowe, Everett W.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aLauter, Kristin E.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aWalker, Judy L.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319639307
776 0 8 _iPrinted edition:
_z9783319639321
776 0 8 _iPrinted edition:
_z9783319876757
830 0 _aAssociation for Women in Mathematics Series,
_x2364-5733 ;
_v9
856 4 0 _uhttps://doi.org/10.1007/978-3-319-63931-4
912 _aZDB-2-SMA
999 _c451803
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506 _aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 _fOnline access from local network of NaUOA.
506 _fOnline access with authorization at https://link.springer.com/
506 _fОнлайн-доступ з локальної мережі НаУОА.
506 _fОнлайн доступ з авторизацією на https://link.springer.com/