000			02789nam a22003497a 4500
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005			20250215145710.0
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020			_a9783030154516
040			_aNISER LIBRARY _beng _erda _cNISER LIBRARY
082			_a003.26:512 _bCHI-C
100	1		_aChilds, Lindsay N.
245	0	0	_aCryptology and error correction : _ban algebraic introduction and real-world applications
260			_aCham, Switzerland : _bSpringer, _c2019.
300			_axiv, 351 pages : _billustrations (some color)
490			_aSpringer undergraduate texts in mathematics and technology, _x1867-5506
504			_aIncludes bibliographical references and index.
520			_aThis text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are constructed, how they are made to work efficiently, and also how they can be attacked. To reach that level of understanding requires and motivates many ideas found in a first course in abstract algebra—rings, fields, finite abelian groups, basic theory of numbers, computational number theory, homomorphisms, ideals, and cosets. Those who complete this book will have gained a solid mathematical foundation for more specialized applied courses on cryptology or error correction, and should also be well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory. This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two years of a standard calculus sequence. Ideally the reader will also take a concurrent course in linear algebra or elementary matrix theory. A solutions manual for the 400 exercises in the book is available to instructors who adopt the text for their course.
650			_aAlgebra
650			_aCryptography
650			_aCryptology
650			_aData encryption (Computer science)
650			_aNumber theory
650			_aCaeser ciphers
650			_aChinese remainder theorem
650			_aEl Gamal cryptography
650			_aLuhn's formula
650			_aLagrange's theorem
856			_3Table of content _uhttps://link.springer.com/content/pdf/bfm:978-3-030-15453-0/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/43976465-cryptology-and-error-correction?from_search=true&from_srp=true&qid=uYfmI4BdRA&rank=3#CommunityReviews
942			_2udc _cBK
999			_c35668 _d35668