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Bent Functions = Fundamentals and Results /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Bent Functions/ by Sihem Mesnager.
Reminder of title:	Fundamentals and Results /
Author:	Mesnager, Sihem.
Description:	XXVI, 544 p. 11 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Coding theory. -
Online resource:	https://doi.org/10.1007/978-3-319-32595-8
ISBN:	9783319325958

Bent Functions = Fundamentals and Results /
Mesnager, Sihem.

Bent FunctionsFundamentals and Results /[electronic resource] :by Sihem Mesnager. - 1st ed. 2016. - XXVI, 544 p. 11 illus., 6 illus. in color.online resource.

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.

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. This book uniquely provides a necessary comprehensive coverage of bent functions. It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.

ISBN: 9783319325958

Standard No.: 10.1007/978-3-319-32595-8doiSubjects--Topical Terms:

561460
Coding theory.

LC Class. No.: QA268

Dewey Class. No.: 003.54

Bent Functions = Fundamentals and Results /
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505 0 $a 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.
520 $a 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. This book uniquely provides a necessary comprehensive coverage of bent functions. It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.
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