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Bent functions[electronic resource] :fundamentals and results /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	511.324
書名/作者:	Bent functions : fundamentals and results // by Sihem Mesnager.
作者:	Mesnager, Sihem.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xxvi, 544 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Algebra, Boolean.
標題:	Algebraic functions.
標題:	Computer Science.
標題:	Coding and Information Theory.
標題:	Combinatorics.
標題:	Difference and Functional Equations.
ISBN:	9783319325958
ISBN:	9783319325934
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-32595-8

Bent functions[electronic resource] :fundamentals and results /
Mesnager, Sihem.

Bent functionsfundamentals and results /[electronic resource] :by Sihem Mesnager. - Cham :Springer International Publishing :2016. - xxvi, 544 p. :ill. (some col.), digital ;24 cm.

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:

466351
Algebra, Boolean.

LC Class. No.: QA10.3

Dewey Class. No.: 511.324

Bent functions[electronic resource] :fundamentals and results /
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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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650 2 4 $a Combinatorics. $3 464913
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