Boolean Functions in Cryptology and Information Security ( NATO Science for Peace and Security Series - D: Information and Communication Security )

Publication series ： NATO Science for Peace and Security Series - D: Information and Communication Security

Author： Preneel B.;Logachev O.A.  

Publisher： Ios Press‎

Publication year： 2008

E-ISBN: 9781607503446

P-ISBN(Paperback): 9781586038786

Subject： H0 Linguistics

Keyword： 计算技术、计算机技术

Language： ENG

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Description

This book contains the proceedings of the NATO-Russia Advanced Study Institute (ASI) 'Boolean Functions in Cryptology and Information Security', which was held at September 8-18, 2007 in Zvenigorod, Moscow region, Russia. These proceedings consist of three parts. The first part contains survey lectures on various areas of Boolean function theory that are of primary importance for cryptology. These lectures were delivered by leading researchers from many countries and contain both classic and recent results. The second part contains research papers written by graduate and postgraduate students of Lomonosov University, Moscow. The third part contains a list of open problems in Boolean function theory. The book includes lectures and papers concern the following areas: Cryptographic properties of Boolean functions and mappings; Algebraic and combinatorial constructions of Boolean functions and mappings with prescribed cryptographic properties; Boolean functions and mappings in cryptosynthesis; Classification of Boolean functions; Cryptanalysis of ciphers; Efficient computations in finite fields.

Chapter

Title page

Preface

Contents

Invited Talks

Bent Rectangles

On Algebraic Algorithms Deciding Properties of Discrete Functions

Non-Archimedean Theory of T-Functions

Classification of the Cosets of RM(1, 7) in RM(3, 7) Revisited

On Boolean Functions with Generalized Cryptographic Properties

Conjectures on the Number of Balanced Boolean Functions of Bounded Degree

Bit-Parallel Circuits for Arithmetic in Finite Fields

On a Family of Perfect Nonlinear Binomials

Classification of Boolean Quartic Forms in Eight Variables

Local Affinity of Boolean Mappings

Boolean Functions on Odd Number of Variables Having Nonlinearity Greater Than the Bent Concatenation Bound

Decimation Based Algebraic and Correlation Attacks and Design of Boolean Functions

Constructing Families of Latin Squares over Boolean Domains

On Almost Perfect Nonlinear Boolean Functions

On the Nonexistence of Homogeneous Rotation Symmetric Bent Boolean Functions of Degree Greater Than Two

On Correlation Immune Boolean Functions

A Cyclic Code Approach of Bent Functions over F2 and Z4

On Balanced Nonlinear Boolean Functions

Students' Talks

On Properties of Correlation Immune Functions with High Nonlinearity

Constructing Boolean Functions with Extremal Properties

Tight Bounds Between Algebraic Immunity and Nonlinearities of High Orders

On Implementation of One Type of Recursive Construction

On Impossibility of Uniform Distribution of Codewords over Spheres

On the Structure of the Spectrum Support of Boolean Functions

Some Open Problems

Open Problems in Boolean Function Theory. The Cryptographer's View

Subject Index

Author Index

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