Advances on superelliptic curves and their applications /

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This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as crypto...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: NATO Advanced Study Institute on Hyperelliptic Curve Cryptography Ohrid, Macedonia
Otros Autores: Beshaj, Lubjana, 1986- (Editor ), Shaska, Tony, 1967- (Editor ), Zhupa, Eustrat (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Amsterdam : IOS Press, [2015]
Colección:NATO science for peace and security series. Information and communication security ; v. 41.
Temas:
Curves, Elliptic > Congresses.
Cryptography > Congresses.
Courbes elliptiques > Congrès.
Cryptographie > Congrès.
MATHEMATICS > Geometry > General.
Cryptography
Curves, Elliptic
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The case for superelliptic curves / L. Beshaj, T. Shaska, and E. Zhupa
  • Weierstrass points of superelliptic curves / C. Shor and T. Shaska
  • Theta functions of superelliptic curves / Lubjana Beshaj, Artur Elezi, and Tony Shaska
  • Cyclic curves over the reals / M. Izquierdo and T. Shaska
  • Reduction theory of binary forms / Lubjana Beshaj
  • Sato-Tate groups of genus 2 curves / Kiran S. Kedlaya
  • Heights on algebraic curves / T. Shaska and L. Beshaj
  • Descent and covering collections / Michael Stoll
  • Chabauty and the Mordell-Weil sieve / Samir Siksek
  • Rational points on Jacobians of hyperelliptic curves / Jan Steffen Müller
  • Explicit [italic]p-adic methods for elliptic and hyperelliptic curves / Jennifer S. Balakrishnan
  • Error correcting quantum codes and algebraic curves / Artur Elezi
  • Graph based cubical multivariate maps and their cryptographical applications / Michał Klisowski and Vasyl Ustimenko
  • Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes / Artur Elezi and Tony Shaska
  • Galois geometries, codes, and new invariants for incidence structures / Vladimir D. Tonchev.

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