000			a
999			_c33388 _d33388
008			241107b xxu||||| |||| 00| 0 eng d
020			_a9783030440732
082			_a512.9 _bSLI
100			_aSlinko, Arkadii
245			_aAlgebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression
250			_a2nd ed.
260			_bSpringer, _c2020 _aSwitzerland :
300			_axiv, 368 p. ; _bill., _c24 cm.
365			_b2175.00 _c₹ _d01
490			_aSpringer undergraduate mathematics series, _v1615-2085
504			_aIncludes bibliographical references and index.
520			_aThis book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study.
650			_aAlgebra
942			_2ddc _cBK