e-book Advances in Coding Theory and Crytography

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SEAMS-UGM-ITB Summer Course on Coding Theory and Cryptography - Day 10 (Session 2)

Find it at other libraries via WorldCat Limited preview. Bibliography Includes bibliographical references p.

15th - 17th December 2009 Royal Agricultural College, Cirencester, UK

Coding and Decoding. Huffman Codes. Data Compression and Entropy. Reliable Communication Through Unreliable Channels. Binary Linear Codes.

Relinde Jurrius

Groups and Standard Arrays. Linear Algebra. Linear Codes. Cyclic Codes.

Algebraic Geometry for Coding Theory and Cryptography

Polynomials and Finite Fields. Convolutional Codes. List of Symbols. The book focuses on the algebraic constructions of error-correcting and optimal or secret codes, as well as cyclic codes, BCH codes, convolutional codes, performance of codes, cryptography and data compression. Although the exposition is rigourous, the book emphasizes the implementation of codes.

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Subject Coding theory. Bibliographic information. Publication date Note "A Wiley-Interscience publication. Browse related items Start at call number: QA Such codes are a perfect nurturing ground for cross-fertilization of ideas between computer science, electrical engineering, and mathematics. The mathematical tools in this area include ideas from graph theory, probability, algebra, discrete mathematics, and statistical physics.

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Algebraic coding theory continues to be of supreme theoretical and practical interest. Prime examples of this area are Reed-Solomon codes, codes from algebraic geometry, and codes obtained from algebraically constructed graphs. Recent advances in the field include, in particular, list-decoding algorithms for various classes of algebraic codes.

Emerging relationships between this area and codes on graphs appear to be promising for future research. Polar codes discovered by Arikan in are a breakthrough of utmost significance. Such codes are provably capacity-achieving on very many channels with very low-complexity and very practical encoders and decoders.


Code-based cryptography : publications - Pierre-Louis Cayrel

These codes rely on a new large-system limit that combines information theory and coding theory more smoothly than any prior coding technique. The investigation of such codes, including their combination with other coding techniques such as codes on graphs and algebraic codes , is an exciting new area of research. Network coding aims at improving data transmission throughput, reliability, latency, etc. This area is still quite young, but it has begun to influence the design of methods and protocols of content delivery in the internet.

There is a diverse set of network coding problem formulations, and network coding can be and has been studied within a number of different theoretical frameworks, such as algebraic, combinatorial, information theoretic, and linear programming frameworks.