December 3, 2020

## Bent Functions

Author : Sihem Mesnager
Publisher : Springer
Release Date : 2016-08-09
Category : Computers
Total pages :544

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.

## Bent Functions

Author : Natalia Tokareva
Release Date : 2015-08-24
Category : Mathematics
Total pages :220

Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more. Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers

## Cryptographic Boolean Functions and Applications

Author : Thomas W. Cusick,Pantelimon Stanica
Release Date : 2009-03-04
Category : Mathematics
Total pages :248

Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce). Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean functions are used in cryptography. Currently, practitioners who need to apply Boolean functions in the design of cryptographic algorithms and protocols need to patch together needed information from a variety of resources (books, journal articles and other sources). This book compiles the key essential information in one easy to use, step-by-step reference. Beginning with the basics of the necessary theory the book goes on to examine more technical topics, some of which are at the frontier of current research. -Serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions -Provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography -Addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource. -Organized logically to help the reader easily understand the topic

## Boolean Functions in Cryptology and Information Security

Author : Bart Preneel,Oleg A. Logachev
Publisher : IOS Press
Release Date : 2008-01-01
Category : Computers
Total pages :355

This book contains the proceedings of the NATO-Russia Advanced Study Institute (ASI) 'Boolean Functions in Cryptology and Information Security', which was held 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; and, efficient computations in finite fields.

## Construction and Analysis of Cryptographic Functions

Author : Lilya Budaghyan
Publisher : Springer
Release Date : 2015-01-06
Category : Computers
Total pages :168

This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions. These functions have optimal resistance to linear and/or differential attacks, which are the two most powerful attacks on symmetric cryptosystems. Besides cryptographic applications, these functions are significant in many branches of mathematics and information theory including coding theory, combinatorics, commutative algebra, finite geometry, sequence design and quantum information theory. The author analyzes equivalence relations for these functions and develops several new methods for construction of their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.

## Discrete Geometry and Algebraic Combinatorics

Author : Alexander Barg,Oleg R. Musin
Publisher : American Mathematical Society
Release Date : 2014-08-28
Category : Mathematics
Total pages :190

This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

## Arithmetic of Finite Fields

Author : M. Anwar Hasan,Tor Helleseth
Publisher : Springer Science & Business Media
Release Date : 2010-06-17
Category : Computers
Total pages :280

The LNCS series reports state-of-the-art results in computer science research, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the R&D community, with numerous individuals, as well as with prestigious organizations and societies, LNCS has grown into the most comprehensive computer science research forum available. The scope of LNCS, including its subseries LNAI and LNBI, spans the whole range of computer science and information technology including interdisciplinary topics in a variety of application fields. In parallel to the printed book, each new volume is published electronically in LNCS Online.

## Surveys in Combinatorics 2013

Author : Simon R. Blackburn,Stefanie Gerke,Mark Wildon
Publisher : Cambridge University Press
Release Date : 2013-06-27
Category : Computers
Total pages :384

Surveys of recent important developments in combinatorics covering a wide range of areas in the field.

## Progress in Applications of Boolean Functions

Author : Tsutomu Sasao,Jon Butler
Publisher : Morgan & Claypool Publishers
Release Date : 2010-10-10
Category : Computers
Total pages :153

This book brings together five topics on the application of Boolean functions. They are 1. Equivalence classes of Boolean functions: The number of n-variable functions is large, even for values as small as n = 6, and there has been much research on classifying functions. There are many classifications, each with their own distinct merit. 2. Boolean functions for cryptography: The process of encrypting/decrypting plaintext messages often depends on Boolean functions with specific properties. For example, highly nonlinear functions are valued because they are less susceptible to linear attacks. 3. Boolean differential calculus: An operation analogous to taking the derivative of a real-valued function offers important insight into the properties of Boolean functions. One can determine tests or susceptibility to hazards. 4. Reversible logic: Most logic functions are irreversible; it is impossible to reconstruct the input, given the output. However, Boolean functions that are reversible are necessary for quantum computing, and hold significant promise for low-power computing. 5. Data mining: The process of extracting subtle patterns from enormous amounts of data has benefited from the use of a graph-based representation of Boolean functions. This has use in surveillance, fraud detection, scientific discovery including bio-informatics, genetics, medicine, and education. Written by experts, these chapters present a tutorial view of new and emerging technologies in Boolean functions. Table of Contents: Equivalence Classes of Boolean Functions / Boolean Functions for Cryptography / Boolean Differential Calculus / Synthesis of Boolean Functions in Reversible Logic / Data Mining Using Binary Decision Diagrams

## Information Security and Cryptology

Author : Dengguo Feng,Dongdai Lin
Publisher : Springer Science & Business Media
Release Date : 2005-12-07
Total pages :420

The ?rst SKLOIS Conference on Information Security and Cryptography(CISC 2005) was organized by the State Key Laboratory of Information Security of the Chinese Academy of Sciences. It was held in Beijing, China, December 15-17,2005andwassponsoredbytheInstituteofSoftware,theChineseAcademy of Sciences, the Graduate School of the Chinese Academy of Sciences and the National Science Foundation of China. The conference proceedings, represe- ing invited and contributed papers, are published in this volume of Springer’s Lecture Notes in Computer Science (LNCS) series. The area of research covered by CISC has been gaining importance in recent years, and a lot of fundamental, experimental and applied work has been done, advancing the state of the art. The program of CISC 2005 covered numerous ?elds of research within the general scope of the conference. The International Program Committee of the conference received a total of 196 submissions (from 21 countries). Thirty-three submissions were selected for presentation as regular papers and are part of this volume. In addition to this track, the conference also hosted a short-paper track of 32 presentations that were carefully selected as well. All submissions were reviewed by experts in the relevant areas and based on their ranking and strict selection criteria the papers were selected for the various tracks. We note that stricter criteria were applied to papers co-authored by program committee members. We further note that, obviously, no member took part in in?uencing the ranking of his or her own submissions.

## Progress in Cryptology – LATINCRYPT 2012

Author : Alejandro Hevia,Gregory Neven
Publisher : Springer
Release Date : 2012-08-22
Category : Computers
Total pages :323

This book constitutes the proceedings of the 2nd International Conference on Cryptology and Information Security in Latin America, LATINCRYPT 2012, held in Santiago, Chile, on October 7-10, 2012. The 17 papers presented together with four invited talks and one student poster session were carefully reviewed and selected from 47 submissions. The papers are organized in topical sections on elliptic curves, cryptographic protocols, implementations, foundations, and symmetric-key cryptography.

## Theory and Applications of Finite Fields

Author : Michel Lavrauw
Publisher : American Mathematical Soc.
Release Date : 2012
Category : Mathematics
Total pages :204

This volume contains the proceedings of the 10th International Congress on Finite Fields and their Applications (Fq 10), held July 11-15, 2011, in Ghent, Belgium. Research on finite fields and their practical applications continues to flourish. This volume's topics, which include finite geometry, finite semifields, bent functions, polynomial theory, designs, and function fields, show the variety of research in this area and prove the tremendous importance of finite field theory.

## Information Security and Cryptology - ICISC'99

Author : ICISC'99
Publisher : Springer Science & Business Media
Release Date : 2000-04-12
Total pages :277

This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Information Security and Cryptology, ICISC'99, held in Seoul, Korea, in December 1999. The 20 revised full papers presented together with an invited paper were carefully reviewed and selected from a total of 61 submissions. The book is divided into topical sections on cryptoanalysis and cryptographic design; cryptographic theory and computation complexity; cryptographic protocols and authentication design; digital signatures and secret sharing; and electronic cash, applications, and implementation.

Author : Jerzy Soldek,Khalid Saeed,Jerzy Pejas
Publisher : Springer Science & Business Media
Release Date : 2002-01-31
Category : Computers
Total pages :500

Advanced Computer Systems is a collection of forty selected papers presented to the Eighth International Conference on Computer Systems, October 2001 in Mielno, Poland. These papers provide a comprehensive summary of practice and research progress in information technologies: Recognition, Security and Safety concentrates on the widely-known problems of information systems security. Methods of Artificial Intelligence presents methods and algorithms which are the basics for the applications of artificial intelligence environments. Intelligent Agents and Distributed Activities includes laboratory research on multiagent intelligent systems as well as upon their applications in searching information, negotiating and supporting decision. Distributed Productions Networks and Modeling Complex Systems present production processes in distributed shared virtual environment, virtual solution of integer optimization problems, and a queuing approach to performance optimization in the distributed production network.

## Fast Software Encryption

Author : Bimal Roy,Willi Meier
Publisher : Springer Science & Business Media
Release Date : 2004-06-16
Category : Computers
Total pages :484

This book constitutes the refereed proceedings of the 11th International Workshop on Fast Software Encryption, FSE 2004, held in Delhi, India in February 2004. The 28 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 75 submissions. The papers are organized in topical sections on algebraic attacks, stream cipher cryptanalysis, Boolean functions, stream cipher design, design and analysis of block ciphers, cryptographic primitives-theory, modes of operation, and analysis of MACs and hash functions.