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Author: Keqin Feng Publisher: Birkhäuser ISBN: 3034878656 Category : Computers Languages : en Pages : 403
Book Description
It has long been recognized that there are fascinating connections between cod ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care ful scrutiny, 28 papers were accepted for publication.
Author: Keqin Feng Publisher: Birkhäuser ISBN: 3034878656 Category : Computers Languages : en Pages : 403
Book Description
It has long been recognized that there are fascinating connections between cod ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care ful scrutiny, 28 papers were accepted for publication.
Author: Keqin Feng Publisher: Birkhauser ISBN: 9780817624293 Category : Computers Languages : en Pages : 405
Book Description
This book contains a selection of papers submitted to the Workshop on Coding, Cryptography and Combinatorics (CCC 2003). An important feature of the book are invited surveys on key topics such as Boolean functions in cryptology, correlation attacks on LFSR sequences, decoding algorithms for linear codes, LDPC codes, and towers of function fields. There are also carefully selected contributed papers on many aspects of coding theory, cryptology and combinatorics, for instance, new constructions of codes, decoding algorithms, coding bounds, digital nets, cryptanalysis of cryptosystems and other cryptographic schemes, linear complexity o sequences, cross-correlation of sequences, authentication codes, fast arithmetic for cryptosystems, capacity regions, and combinatorial tableaux. The reader will be informed about current reesearch in these very active areas. The book is of interest for postgraduate students and researchers in mathematics, computer science, information theory and electrical engineering.
Author: David Joyner Publisher: Springer Science & Business Media ISBN: 3642596630 Category : Mathematics Languages : en Pages : 264
Book Description
These are the proceedings of the Conference on Coding Theory, Cryptography, and Number Theory held at the U. S. Naval Academy during October 25-26, 1998. This book concerns elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory. Some of these papers are expository, whereas others are the result of original research. The emphasis is on geometric Goppa codes (Shokrollahi, Shokranian-Joyner), but there is also a paper on codes arising from combinatorial constructions (Michael). There are both, historical and mathematical papers on cryptography. Several of the contributions on cryptography describe the work done by the British and their allies during World War II to crack the German and Japanese ciphers (Hamer, Hilton, Tutte, Weierud, Urling). Some mathematical aspects of the Enigma rotor machine (Sherman) and more recent research on quantum cryptography (Lomonoco) are described. There are two papers concerned with the RSA cryptosystem and related number-theoretic issues (Wardlaw, Cosgrave).
Author: M. J. Ganley Publisher: Oxford University Press, USA ISBN: Category : Coding theory Languages : en Pages : 400
Book Description
This up-to-date volume surveys research and theoretical developments in the related fields of cryptography, coding, and information theory. With its applications of group theory and number theory to issues related to security systems and intelligence, this book will be of interest to probabilists and mathematicians working in industry and government departments concerned with security implementation. An international roster of distinguished scholars have contributed chapters on coding techniques for parallel asynchronous communication, digital signatures, recurrent sequences of modulo prime powers, and the design of codes for the binary adder channel. Based on the Third Conference on Cryptography and Coding held in England (1991), this book provides an invaluable synthesis of related topics in combinatorics.
Author: Colin Boyd Publisher: Springer Science & Business Media ISBN: 9783540606932 Category : Business & Economics Languages : en Pages : 308
Book Description
This monograph provides a formal and systematic exposition of the main results on the existence and optimality of equilibria in economies with increasing returns to scale. For that, a general equilibrium model is carefully constructed first by means of a precise formalization of consumers and firms, and the proof of an abstract existence result. The analysis shifts then to the study of specific normative and positive models which are particularizations the general one, and to the study of the efficiency of equilibrium allocations. The book provides an unified approach of the topic, it maintains a relatively low mathematical complexity and offers a highly self-contained exposition.
Author: Professor David Joyner, MD Publisher: ISBN: 9783642596643 Category : Languages : en Pages : 268
Book Description
With both expository material and original research results, this book presents state-of-the-art surveys in coding theory, cryptography, and number theory, including historical references to earlier ciphers and codes. 9 illus.
Author: Patrick Sole Publisher: World Scientific ISBN: 9811248346 Category : Computers Languages : en Pages : 215
Book Description
Secret sharing schemes form one of the most important topic in Cryptography. These protocols are used in many areas, applied mathematics, computer science, electrical engineering. A secret is divided into several pieces called shares. Each share is given to a user of the system. Each user has no information about the secret, but the secret can be retrieved by certain authorized coalition of users.This book is devoted to such schemes inspired by Coding Theory. The classical schemes of Shamir, Blakley, Massey are recalled. Survey is made of research in Combinatorial Coding Theory they triggered, mostly self-dual codes, and minimal codes. Applications to engineering like image processing, and key management of MANETs are highlighted.
Author: Massimiliano Sala Publisher: Springer Science & Business Media ISBN: 3540938060 Category : Mathematics Languages : en Pages : 428
Book Description
Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.
Author: Norman L. Biggs Publisher: Springer Science & Business Media ISBN: 1848002734 Category : Computers Languages : en Pages : 274
Book Description
Many people do not realise that mathematics provides the foundation for the devices we use to handle information in the modern world. Most of those who do know probably think that the parts of mathematics involvedare quite ‘cl- sical’, such as Fourier analysis and di?erential equations. In fact, a great deal of the mathematical background is part of what used to be called ‘pure’ ma- ematics, indicating that it was created in order to deal with problems that originated within mathematics itself. It has taken many years for mathema- cians to come to terms with this situation, and some of them are still not entirely happy about it. Thisbookisanintegratedintroductionto Coding.Bythis Imeanreplacing symbolic information, such as a sequence of bits or a message written in a naturallanguage,byanother messageusing (possibly) di?erentsymbols.There are three main reasons for doing this: Economy (data compression), Reliability (correction of errors), and Security (cryptography). I have tried to cover each of these three areas in su?cient depth so that the reader can grasp the basic problems and go on to more advanced study. The mathematical theory is introduced in a way that enables the basic problems to bestatedcarefully,butwithoutunnecessaryabstraction.Theprerequisites(sets andfunctions,matrices,?niteprobability)shouldbefamiliartoanyonewhohas taken a standard course in mathematical methods or discrete mathematics. A course in elementary abstract algebra and/or number theory would be helpful, but the book contains the essential facts, and readers without this background should be able to understand what is going on. vi Thereareafewplaceswherereferenceismadetocomputeralgebrasystems.
Author: Keqin Feng
Author: Keqin Feng
Author: Keqin Feng
Author: David Joyner
Author: Dean Crnković
Author: M. J. Ganley
Author: Colin Boyd
Author: Professor David Joyner, MD
Author: Patrick Sole
Author: Massimiliano Sala
Author: Norman L. Biggs