Algebra for Applications : Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression. 2nd ed. 2020

種類:

電子ブック

責任表示:

by Arkadii Slinko

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Slinko, Arkadii.
• SpringerLink (Online service)

シリーズ名:

Springer Undergraduate Mathematics Series ;

ISBN:

9783030440749 [3030440745]    

注記:

1 Integers -- 2 Cryptology -- 3 Groups -- 4 Fields -- 5 Polynomials -- 6 Secret Sharing -- 7 Error-Correcting Codes -- 8 Compression -- Appendix A: GAP -- Appendix B: Miscellanea -- Solutions to Exercises -- Index.
Modern 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 computationally hard problems and giving

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