000			02754nam a22003257a 4500
003			OSt
005			20250226145504.0
008			250225b |||||||| |||| 00| 0 hin d
020			_a9783030440732
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a512 _bSLI-A
100			_aSlinko, Arkadii
245			_aAlgebra for applications : _bcryptography, secret sharing, error-correcting, fingerprinting, compression
250			_a2nd edition
260			_aCham, Switzerland : _bSpringer, _c2020.
300			_axiv, 368 pages : _b16 b/w illustrations, 1 illustrations in colour
490			_aSpringer undergraduate mathematics series, _x1615-2085
520			_aModern societies are awash with data that needs to be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorised access, and transmitted over unreliable channels. All of these operations are based on algebra and number theory and can only be properly understood with a good knowledge of these fields. This textbook provides the mathematical tools and applies them to study key aspects of data transmission such as encryption and compression. Designed for an undergraduate lecture course, this textbook provides all of the background in arithmetic, polynomials, groups, fields, and elliptic curves that is required to understand real-life applications such as cryptography, secret sharing, error-correcting, fingerprinting, and compression of information. It explains in detail how these applications really work. The book uses the free GAP computational package, allowing the reader to develop intuition about computationallyhard problems and giving insights into how computational complexity can be used to protect the integrity of data. The first undergraduate textbook to cover such a wide range of applications, including some recent developments, this second edition has been thoroughly revised with the addition of new topics and exercises. Based on a one semester lecture course given to third year undergraduates, it is primarily intended for use as a textbook, while numerous worked examples and solved exercises also make it suitable for self-study.
650			_aAlgebra
650			_aDiscrete mathematics
650			_aInformation theory
650			_aInformation and communication, circuits
650			_aPublic key cryptography
650			_aSecret key cryptography
650			_aReed-Solomon Codes
650			_aHuffman compression code
856			_3Table of content _uhttps://link.springer.com/content/pdf/bfm:978-3-030-44074-9/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/72346800-algebra-for-applications?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35781 _d35781