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＜電子ブック＞
Codes: An Introduction to Information Communication and Cryptography / by Norman L. Biggs
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2008.
出版者	(London : Springer London : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	X, 274 p. 36 illus : online resource
著者標目	*Biggs, Norman L author SpringerLink (Online service)
件　名	LCSH:Coding theory LCSH:Information theory LCSH:Discrete mathematics LCSH:Telecommunication LCSH:Number theory LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Data structures (Computer science) FREE:Coding and Information Theory FREE:Discrete Mathematics FREE:Communications Engineering, Networks FREE:Number Theory FREE:Mathematical Applications in Computer Science FREE:Data Structures and Information Theory
一般注記	Coding and its uses -- Prefix free codes -- Economical coding -- Data compression -- Noisy channels -- The problem of reliable communication -- The noisy coding theorems -- Linear codes -- Algebraic coding theory -- Coding natural languages -- The development of cryptography -- Cryptography in theory and practice -- The RSA cryptosystem -- Cryptography and calculation -- Elliptic curve cryptography Information is an important feature of the modern world. Mathematical techniques underlie the devices that we use to handle it, for example, mobile phones, digital cameras, and personal computers. This book is an integrated introduction to the mathematics of coding, that is, replacing information expressed in symbols, such as a natural language or a sequence of bits, by another message using (possibly) different symbols. There are three main reasons for doing this: economy, reliability, and security, and each is covered in detail. Only a modest mathematical background is assumed, the mathematical theory being introduced at a level that enables the basic problems to be stated carefully, but without unnecessary abstraction. Other features include: clear and careful exposition of fundamental concepts, including optimal coding, data compression, and public-key cryptography; concise but complete proofs of results; coverage of recent advances of practical interest, for example in encryption standards, authentication schemes, and elliptic curve cryptography; numerous examples and exercises, and a full solutions manual available to lecturers from www.springer.com This modern introduction to all aspects of coding is suitable for advanced undergraduate or postgraduate courses in mathematics, computer science, electrical engineering, or informatics. It is also useful for researchers and practitioners in related areas of science, engineering and economics HTTP:URL=https://doi.org/10.1007/978-1-84800-273-9

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