Bent Functions Fundamentals and Results /

• Κύριος συγγραφέας: Mesnager, Sihem (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Θέματα: Computer science.; Coding theory.; Difference equations.; Functional equations.; Combinatorics.; Computer Science.; Coding and Information Theory.; Difference and Functional Equations.

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....

Πίνακας περιεχομένων:

• 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.