Coding And Cryptology

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ISBN: 9814470597
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Coding Theory And Cryptology

Author: Harald Niederreiter
Editor: World Scientific
ISBN: 9789812384508
File Size: 45,77 MB
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The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security.

Codes And Cryptography

Author: Dominic Welsh
Editor: Oxford University Press
ISBN: 9780198532873
File Size: 79,38 MB
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This textbook forms an introduction to codes, cryptography and information theory as it has developed since Shannon's original papers.

Cryptography And Coding

Author: England) IMA Conference on Cryptography and Coding (5th : 1995 : Cirencester
Editor: Springer Science & Business Media
ISBN: 9783540606932
File Size: 54,53 MB
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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.

Advances In Coding Theory And Cryptography

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ISBN: 9814475351
File Size: 49,91 MB
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Coding Theory And Cryptography

Author: David Joyner
Editor: Springer Science & Business Media
ISBN: 3642596630
File Size: 20,13 MB
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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).

Coding Cryptography And Combinatorics

Author: Keqin Feng
Editor: Birkhäuser
ISBN: 3034878656
File Size: 59,98 MB
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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.

Codes Cryptology And Curves With Computer Algebra

Author: Ruud Pellikaan
Editor: Cambridge University Press
ISBN: 0521817110
File Size: 74,62 MB
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Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.

Cryptography And Coding

Author: Bahram Honary
Editor: Springer
ISBN: 3540453253
File Size: 33,98 MB
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The mathematical theory and practice of cryptography and coding underpins the provision of effective security and reliability for data communication, processing, and storage. Theoretical and implementational advances in the fields of cryptography and coding are therefore a key factor in facilitating the growth of data communications and data networks of various types. Thus, this Eight International Conference in an established and successful IMA series on the theme of “Cryptography and Coding” was both timely and relevant. The theme of this conference was the future of coding and cryptography, which was touched upon in presentations by a number of invited speakers and researchers. The papers that appear in this book include recent research and development in error control coding and cryptography. These start with mathematical bounds, statistical decoding schemes for error correcting codes, and undetected error probabilities and continue with the theoretical aspects of error correction coding such as graph and trellis decoding, multifunctional and multiple access communication systems, low density parity check codes, and iterative decoding. These are followed by some papers on key recovery attack, authentication, stream cipher design, and analysis of ECIES algorithms, and lattice attacks on IP based protocols.

Cryptography And Coding

Author: Martin Albrecht
Editor: Springer Nature
ISBN: 3030351998
File Size: 45,30 MB
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This book constitutes the proceedings of the 17th IMA International Conference on Cryptography and Coding, IMACC 2019, held in Oxford, UK, in December 2019. The 17 papers presented were carefully reviewed and selected from 31 submissions. The conference focuses on a diverse set of topics both in cryptography and coding theory.

Codes Cryptology And Information Security

Author: Said El Hajji
Editor: Springer
ISBN: 3319555898
File Size: 20,90 MB
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This book constitutes the proceedings of the Second International Conference on Codes, Cryptology and Information Security, C2SI 2017, held in Rabat, Morocco, in April 2017. The 19 regular papers presented together with 5 invited talks were carefully reviewed and selected from 72 submissions. The first aim of this conference is to pay homage to Claude Carlet for his valuable contribution in teaching and disseminating knowledge in coding theory and cryptography worldwide, especially in Africa. The second aim of the conference is to provide an international forum for researchers from academia and practitioners from industry from all over the world for discussion of all forms of cryptology, coding theory and information security.

Codes Cryptology And Information Security

Author: Claude Carlet
Editor: Springer
ISBN: 3030164586
File Size: 23,85 MB
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This book constitutes the proceedings of the Third International Conference on Codes, Cryptology and Information Security, C2SI 2019, held in Rabat, Morocco, in April 2019. The 19 regular papers presented together with 5 invited talks were carefully reviewed and selected from 90 submissions. The first aim of this conference is to pay homage to Said El Hajji for his valuable contribution in research, teaching and disseminating knowledge in numerical analysis, modeling and information security in Morocco, Africa, and worldwide. The second aim of the conference is to provide an international forum for researchers from academia and practitioners from industry from all over the world for discussion of all forms of cryptology, coding theory, and information security.

Algebra Codes And Cryptology

Author: Cheikh Thiecoumba Gueye
Editor: Springer Nature
ISBN: 303036237X
File Size: 51,32 MB
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This book presents refereed proceedings of the First International Conference on Algebra, Codes and Cryptology, A2C 2019, held in Dakar, Senegal, in December 2019. The 14 full papers were carefully reviewed and selected from 35 submissions. The papers are organized in topical sections on non-associative and non-commutative algebra; code, cryptology and information security.

Cryptography And Coding

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ISBN:
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Interactions Between Group Theory Symmetry And Cryptology

Author: María Isabel González Vasco
Editor: MDPI
ISBN: 3039288024
File Size: 56,59 MB
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Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.

Cryptography

Author: Britannica Educational Publishing
Editor: Britanncia Educational Publishing
ISBN: 1622750365
File Size: 78,40 MB
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While cracking a code might seem like something few of us would encounter in our daily lives, it is actually far more prevalent than we may realize. Anyone who has had personal information taken because of a hacked email account can understand the need for cryptography and the importance of encryption—essentially the need to code information to keep it safe. This detailed volume examines the logic and science behind various ciphers, their real world uses, how codes can be broken, and the use of technology in this oft-overlooked field.

Kahn On Codes

Author: David Kahn
Editor: Macmillan Publishing Company
ISBN:
File Size: 47,64 MB
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A collection of articles and monographs on cryptography ranges from a technical study of the spy cipher used by Reino Hayhanen to an argument against a government-sponsored computer cryptosystem

Foundations Of Coding

Author: Jean-Guillaume Dumas
Editor: John Wiley & Sons
ISBN: 1118960521
File Size: 70,82 MB
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Offers a comprehensive introduction to the fundamentalstructures and applications of a wide range of contemporary codingoperations This book offers a comprehensive introduction to the fundamentalstructures and applications of a wide range of contemporary codingoperations. This text focuses on the ways to structure informationso that its transmission will be in the safest, quickest, and mostefficient and error-free manner possible. All coding operations arecovered in a single framework, with initial chapters addressingearly mathematical models and algorithmic developments which led tothe structure of code. After discussing the general foundations ofcode, chapters proceed to cover individual topics such as notionsof compression, cryptography, detection, and correction codes. Bothclassical coding theories and the most cutting-edge models areaddressed, along with helpful exercises of varying complexities toenhance comprehension. Explains how to structure coding information so that itstransmission is safe, error-free, efficient, and fast Includes a pseudo-code that readers may implement in theirpreferential programming language Features descriptive diagrams and illustrations, and almost 150exercises, with corrections, of varying complexity to enhancecomprehension Foundations of Coding: Compression, Encryption,Error-Correction is an invaluable resource for understandingthe various ways information is structured for its secure andreliable transmission in the 21st-century world.

Making Breaking Codes

Author: Paul B. Garrett
Editor: Pearson
ISBN:
File Size: 19,49 MB
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This unique book explains the basic issues of classical and modern cryptography, and provides a self contained essential mathematical background in number theory, abstract algebra, and probability--with surveys of relevant parts of complexity theory and other things. A user-friendly, down-to-earth tone presents concretely motivated introductions to these topics. More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions, transpositions, permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols, quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings, fields, polynomials; cyclotomic polynomials, primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security, system administration, and information systems.

Fundamentals Of Cryptology

Author: Henk C.A. van Tilborg
Editor: Springer Science & Business Media
ISBN: 0306470535
File Size: 77,74 MB
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The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries. Modern communication techniques, using computers connected through networks, make all data even more vulnerable for these threats. Also, new issues have come up that were not relevant before, e. g. how to add a (digital) signature to an electronic document in such a way that the signer can not deny later on that the document was signed by him/her. Cryptology addresses the above issues. It is at the foundation of all information security. The techniques employed to this end have become increasingly mathematical of nature. This book serves as an introduction to modern cryptographic methods. After a brief survey of classical cryptosystems, it concentrates on three main areas. First of all, stream ciphers and block ciphers are discussed. These systems have extremely fast implementations, but sender and receiver have to share a secret key. Public key cryptosystems (the second main area) make it possible to protect data without a prearranged key. Their security is based on intractable mathematical problems, like the factorization of large numbers. The remaining chapters cover a variety of topics, such as zero-knowledge proofs, secret sharing schemes and authentication codes. Two appendices explain all mathematical prerequisites in great detail. One is on elementary number theory (Euclid's Algorithm, the Chinese Remainder Theorem, quadratic residues, inversion formulas, and continued fractions). The other appendix gives a thorough introduction to finite fields and their algebraic structure.