03246nam a22005055i 4500 978-3-319-21951-6 DE-He213 20210625105225.0 cr nn 008mamaa 150819s2015 gw | s |||| 0|eng d 9783319219516 978-3-319-21951-6 10.1007/978-3-319-21951-6 doi QA150-272 PBF bicssc MAT002000 bisacsh PBF thema 512 23 Slinko, Arkadii. author. aut http://id.loc.gov/vocabulary/relators/aut Algebra for Applications [electronic resource] : Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression / by Arkadii Slinko. 1st ed. 2015. Cham : Springer International Publishing : Imprint: Springer, 2015. XIV, 328 p. 5 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Undergraduate Mathematics Series, 1615-2085 Integers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanies -- Solutions to Exercises. This 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. Algebra. Information theory. Discrete mathematics. Algebra. https://scigraph.springernature.com/ontologies/product-market-codes/M11000 Information and Communication, Circuits. https://scigraph.springernature.com/ontologies/product-market-codes/M13038 Discrete Mathematics. https://scigraph.springernature.com/ontologies/product-market-codes/M29000 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783319219509 Printed edition: 9783319219523 Springer Undergraduate Mathematics Series, 1615-2085 https://doi.org/10.1007/978-3-319-21951-6 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)