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Algebra for Applications : Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression / by Arkadii Slinko

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Undergraduate Mathematics Series | SpringerLink Bücher | Springer eBook Collection Mathematics and StatisticsPublisher: Cham : Springer, 2015Edition: 1st ed. 2015Description: Online-Ressource (XIV, 328 p. 5 illus., 1 illus. in color, online resource)ISBN:
  • 9783319219516
Subject(s): Additional physical formats: 9783319219509 | Erscheint auch als: Algebra for applications. Druck-Ausgabe Cham : Springer, 2015. XIV, 328 S.DDC classification:
  • 512
MSC: MSC: *94-01 | 00A06 | 11-01 | 12-01 | 20-01 | 94A60 | 94BxxRVK: RVK: SK 200 | ST 284 | ST 276LOC classification:
  • QA150-272
DOI: DOI: 10.1007/978-3-319-21951-6Online resources: Summary: 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-studyPPN: PPN: 1657940640Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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