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Algebraic Curves and Finite Fields : Cryptography and Other Applications.

By: Contributor(s): Material type: TextTextSeries: Radon series on computational and applied mathematicsPublication details: Berlin : De Gruyter, 2014.Description: 1 online resource (254 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110317916
  • 3110317915
  • 3110317885
  • 9783110317886
  • 3110379554
  • 9783110379556
Subject(s): Genre/Form: Additional physical formats: Print version:: No titleDDC classification:
  • 516.352 23
LOC classification:
  • QA565 .A44 2014
Online resources:
Contents:
Frontmatter -- Introduction -- Contents -- Generic Newton polygons for curves of given p-rank / Achter, Jeffrey D. ; Pries, Rachel -- Good towers of function fields / Bassa, Alp ; Beelen, Peter ; Nguyen, Nhut -- Correlation-immune Boolean functions for easing counter measures to side-channel attacks / Carlet, Claude ; Guilley, Sylvain -- The discrete logarithm problem with auxiliary inputs / Cheon, Jung Hee ; Kim, Taechan ; Song, Yongsoo -- Garden of curves with many automorphisms / Giulietti, Massimo ; Korchmáros, Gábor -- Nonlinear shift registers -- A survey and challenges / Helleseth, Tor -- Permutations of finite fields and uniform distribution modulo 1 / Pausinger, Florian ; Topuzoğlu, Alev -- Semifields, relative difference sets, and bent functions / Pott, Alexander ; Schmidt, Kai-Uwe ; Zhou, Yue -- NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings / Steinfeld, Ron -- Analog of the Kronecker-Weber theorem in positive characteristic / Villa-Salvador, Gabriel D. -- Index -- Backmatter.
Summary: This bookcollects the results of the workshops on Applications of Algebraic CurvesandApplications of Finite Fieldsat the RICAMin 2013. These workshopsbrought together the most prominet researchers in the area of finite fields and their applications around the world, addressing old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.
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This bookcollects the results of the workshops on Applications of Algebraic CurvesandApplications of Finite Fieldsat the RICAMin 2013. These workshopsbrought together the most prominet researchers in the area of finite fields and their applications around the world, addressing old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.

Includes bibliographical references at the end of each chapters and index.

Frontmatter -- Introduction -- Contents -- Generic Newton polygons for curves of given p-rank / Achter, Jeffrey D. ; Pries, Rachel -- Good towers of function fields / Bassa, Alp ; Beelen, Peter ; Nguyen, Nhut -- Correlation-immune Boolean functions for easing counter measures to side-channel attacks / Carlet, Claude ; Guilley, Sylvain -- The discrete logarithm problem with auxiliary inputs / Cheon, Jung Hee ; Kim, Taechan ; Song, Yongsoo -- Garden of curves with many automorphisms / Giulietti, Massimo ; Korchmáros, Gábor -- Nonlinear shift registers -- A survey and challenges / Helleseth, Tor -- Permutations of finite fields and uniform distribution modulo 1 / Pausinger, Florian ; Topuzoğlu, Alev -- Semifields, relative difference sets, and bent functions / Pott, Alexander ; Schmidt, Kai-Uwe ; Zhou, Yue -- NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings / Steinfeld, Ron -- Analog of the Kronecker-Weber theorem in positive characteristic / Villa-Salvador, Gabriel D. -- Index -- Backmatter.

English.

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