الصفحة 1
الصفحة 1
Using Algebraic Geometry
In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants.
Topics in Geometry, Coding Theory and Cryptography
This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use.
Theory of Quantum Computation, Communication, and Cryptography ; 3rd Workshop, TQC 2008 Tokyo, Japan, January 30 - February 1, 2008. Revised Selected Papers
This book focus on theoretical aspects of quantum computation, quantum communication, and quantum cryptography, which are part of a larger interdisciplinary field that casts information science in a quantum mechanical
Sequences and Their Applications - SETA 2008 ; 5th International Conference Lexington, KY, USA, September 14-18, 2008 Proceedings
The book is organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.
Sequences and Their Applications – SETA 2006 ; 4th International Conference, Beijing, China, September 24-28, 2006, Proceedings
PrefaceThis volume contains the refereed proceedings of the Fourth International Con-ference on Sequences and Their Applications (SETA 2006), held in Beijing, Chinaduring September 24–28, 2006. The previous three conferences SETA ’98, SETA2001, and SETA 2004 were held in Singapore, Bergen, and Seoul, respectively.The SETA conferences are motivated by the numerous applications of sequencesin modern communication systems. These applications include pseudorandomsequences in spread spectrum, code-division-multiple-access, stream ciphers incryptography, and several connections to coding theory and boolean functions.
Sequences and their applications - SETA 2004 ; 3rd International Conference, Seoul, Korea, October 24-28, 2004, Revised Selected Papers
This volume contains the refereed proceedings of the 3rd International Conf- ence on Sequences and Their Applications (SETA 2004), held in Seoul, Korea during October 24-28, 2004.
Self-Dual Codes and Invariant Theory
One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.
Recent Advances in Matrix and Operator Theory
This book expands the lectures given at IWOTA’05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 24–27, 2005. Many developments on the cutting edge of research in operator theory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A number of papers are devoted to the analysis and algorithms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra.
Post-Quantum Cryptography ; 2nd International Workshop, PQCrypto 2008 Cincinnati, OH, USA, October 17-19, 2008 Proceedings
The 15 revised full papers presented were carefully reviewed and selected from numerous submissions. Quantum computers are predicted to break existing public key cryptosystems within the next decade. Post-quantum cryptography is a new fast developing area, where public key schemes are studied that could resist these emerging attacks. The papers present four families of public key cryptosystems that have the potential to resist quantum computers: the code-based public key cryptosystems, the hash-based public key cryptosystems, the lattice-based public key cryptosystems and the multivariate public key cryptosystems.
Optical Communication Theory and Techniques
Since the advent of optical communications, a greattechnological effort has been devoted to the exploitation of the huge bandwidth of optical fibers. Sta- ing from a few Mb/s single channel systems, a fast and constant technological development has led to the actual 10 Gb/s per channel dense wavelength - vision multiplexing (DWDM) systems, with dozens of channels on a single fiber. Transmitters and receivers are now ready for 40 Gb/s, whereas hundreds of channels can be simultaneously amplified by optical amplifiers. Nevertheless, despite such a pace in technological progress, optical c- munications are still in a primitive stage if compared, for instance, to radio communications: the widely spread on-off keying (OOK) modulation format is equivalent to the rough amplitude modulation (AM) format, whereas the DWDM technique is nothing more than the optical version of the frequency - vision multiplexing (FDM) technique. Moreover, adaptive equalization, ch- nel coding or maximum likelihood detection are still considered something “exotic” in the optical world. This is mainly due to the favourable char- teristics of the fiber optic channel (large bandwidth, low attenuation, channel stability, ...), which so far allowed us to use very simple transmission and detection techniques.
Information Theory and Network Coding
Information Theory and Network Coding consists of two parts: Components of Information Theory, and Fundamentals of Network Coding Theory. This work can be used as a reference for professional engineers in the area of communications.
Information theoretic security ; 3rd International Conference, ICITS 2008, Calgary, Canada, August 10-13, 2008. Proceedings
This book constitutes the proceedings of the Third International Conference on Information Theoretic Security, held in Calgary, Canada, in August 2008.The 14 papers presented in this volume were carefully reviewed and selected from 43 submissions. There were nine invited speeches to the conference. The topics covered are secure and reliable communication; quantum information and communication; networks and devices; multiparty computation; information hiding and tracing; coding theory and security; quantum computation; foundation; and encryption.
General Theory of Information Transfer and Combinatorics
This book constitutes the thoroughly refereed research papers contributed to a research project on the `General Theory of Information Transfer and Combinatorics' that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and also papers of several incorporated meetings thereof. The 63 revised full papers presented were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on probabilistic models, cryptology, pseudo random sequences, quantum models, statistics, probability theory, information measures, error concepts, performance criteria, search, sorting, ordering, planning, language evolution, pattern discovery, reconstructions, network coding, combinatorial models, and a problem section.
Fuzzy Group Theory
This book presents an up-to-date account of research in important topics of fuzzy group theory. The book concentrates on the theoretical aspects of fuzzy subgroups of a group. It also includes applications to some abstract recognition problems and to coding theory. The book begins with basic properties of fuzzy subgroups. The notions of ascending series and descending series of fuzzy subgroups are used to define nilpotency of a fuzzy subgroup. The material presented in this book makes it a good reference for graduate students and researchers working in fuzzy group theory.
Error-Correction Coding and Decoding : Bounds, Codes, Decoders, Analysis and Applications
This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style,This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field.
Error-Correcting Linear Codes : Classification by Isometry and Applications
This text offers a thorough introduction to the mathematical concepts behind the theory of error-correcting linear codes. Care is taken to introduce the necessary algebraic concepts, for instance the theory of finite fields, the polynomial rings over such fields and the ubiquitous concept of group actions that allows the classification of codes by isometry. The book provides in-depth coverage of important topics like cyclic codes and the coding theory used in compact disc players. The final four chapters cover advanced and algorithmic topics like the classification of linear codes by isometry, the enumeration of isometry classes, random generation of codes, the use of lattice basis reduction to compute minimum distances, the explicit construction of codes with given parameters, as well as the systematic evaluation of representatives of all isometry classes of codes.
Error Correction Codes for Non-Volatile Memories
In ECC for Non-Volatile Memories the authors expose the basics of coding theory needed to understand the application to memories, as well as the relevant design topics, with reference to both NOR and NAND Flash architectures. A collection of software routines is also included for better understanding.
Encyclopedia of Multimedia
Provides easy access to important concepts, issues and technology trends in the field of multimedia technologies, systems, techniques, and applications. Hundreds of leading researchers and world experts have contributed to this comprehensive collection of nearly 350 entries.Over 1,100 heavily-illustrated pages — including 80 new entries — present concise overviews of all aspects of software, systems, web tools and hardware that enable video, audio and developing media to be shared and delivered electronically.
Encyclopedia of Multimedia
he Encyclopedia of Multimedia provides in-depth coverage of the important concepts, issues and technology trends in the field of multimedia technologies, systems, techniques, and applications. It is a comprehensive collection of entries that present perspectives and future trends in the field from hundreds of leading researchers and world experts in the field. These entries describe a number of topics in multimedia systems and applications – from multimedia servers, to multimedia databases and multimedia networks and communications, to emerging multimedia applications.
DNA Computing ; Vol. 3892 ; 11th International Workshop on DNA Computing, DNA11, London, ON, Canada, June 6-9, 2005. Revised Selected Papers.
It is evidence of how well the interdisciplinary nature of the conference has truly matured that the major criterion of quality, agreed upon in advance by the Program Committee (PC), produced a nearly balanced program as well across the two major categories, full papers and talks with an abstract only.
