Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA, February 2016Everett W. Howe, Kristin E. Lauter, Judy L. Walker Springer, 15.11.2017 - 150 Seiten 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. |
Andere Ausgaben - Alle anzeigen
Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA ... Everett W. Howe,Kristin E. Lauter,Judy L. Walker Keine Leseprobe verfügbar - 2017 |
Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA ... Everett W. Howe,Kristin E. Lauter,Judy L. Walker Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
a₁ abelian surface abelian varieties affine Algebraic Geometry Atkin's attack characteristic polynomial code graph codeword coding points Coding Theory compute construct corresponding decoding algorithm defined degree denote Department of Mathematics dimension divisor edge elements Elkies elliptic curve endomorphism equation example factorization finite field Fq-vector labelings Frobenius Frobenius endomorphism functions genus genus-2 curves Goppa code homogeneous hypersurface in-degree integer isogeny isomorphism Jacobians kernel key size l-isogeny Lemma linear code locally recoverable codes LRCs Math matrix McEliece cryptosystem MDPC minimum distance monomial monomial matrix morphism multicast network Niederreiter nodes nonzero parameters parity check plane quartic point counting prime Proof Proposition public code public key quotient real multiplication recovery sets Reed-Muller codes RM invariants roots Rosati involution SC-MDPC Schur square Section Singleton bound subset Theorem vanilla vector vertex vertices weighted projective space Women in Mathematics zeros