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Algebra For Applications eBook

Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression

by Arkadii Slinko
Book eBook
language: english
Publisher: Springer Nature Switzerland, May of 2025 ‧
66,24€
59,62€
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This textbook provides mathematical tools and applies them to study key aspects of data transmission such as encryption and compression. Modern societies are awash with data that needs to be manipulated in many ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorized access, and transmitted over unreliable channels. All of these operations are based on algebra and number theory. This textbook covers background topics in arithmetic, polynomials, groups, fields, and elliptic curves required for real-life applications like cryptography, secret sharing, error-correcting, fingerprinting, and compression of information.

 

The book illustrates the work of these applications using the free GAP computational package. It uses this package to help readers understand computationally hard problems and provide insights into protecting data integrity. This textbook covers a wide range of applications including recent developments, primarily intended for use as a textbook, with numerous worked examples and solved exercises suitable for self-study.

 

This edition has been thoroughly revised with new topics and exercises, introducing hash functions for properly describing digital signatures, blockchains, and digital currencies in the latest version.

Algebra For Applications

Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression

by Arkadii Slinko

Property Description
ISBN: 9783031826269
Publisher: Springer Nature Switzerland
Release Date: May of 2025
Language: English
Format: eBook
File Format and Compatibility:
Collection: Springer Undergraduate Mathematics Series
Categories: eBooks in English > Science > Mathematics
EAN: 9783031826269
Acessibilidade: Ver características de acessibilidade indicadas pelo editor

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