Bent Functions Fundamentals and Results /

This book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mesnager, Sihem (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Coding theory.
Information theory.
Discrete mathematics.
Difference equations.
Functional equations.
Coding and Information Theory.
Discrete Mathematics.
Difference and Functional Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Generalities on Boolean functions and p-ary functions
  • Mathematical Foundations
  • Boolean Functions and Cryptography
  • Bent Functions-Generalities
  • Bent Functions: Primary Constructions (Part I)
  • Bent Functions: Secondary Constructions
  • Bent Functions: Primary Constructions (Part II)
  • Class H, Niho Bent Functions and O-Polynomials
  • Subclasses of Bent Functions: Hyper-Bent Functions
  • Hyper-Bent Functions: Primary Constructions with Multiple Trace Terms
  • (Hyper)-Bent Functions, Exponential Sums and (Hyper-)elliptic Curves
  • Bent Vectorial Functions
  • Bent Functions in Arbitrary Characteristic
  • Bent Functions and (Partial-)spreads
  • Various Cryptographic and Algebraic Generalizations of Bent Functions
  • Plateaued Functions: Generalities and Characterizations
  • Plateaued Boolean Functions: Constructions of Semi-Bent Functions
  • Linear Codes from Bent, Semi-Bent, and Almost Bent Functions.

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