Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression

Name: Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression
Brand: Springer
SKU: 9783031826252
Price: 4363.0 INR
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by Arkadii Slinko

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ISBN13: 9783031826252
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: May 21, 2025
Pages: 395
Original Price: EUR 59.94
Language: English
Edition: Third 2025
Item Weight: 581 grams
BISAC Subject(s): Algebra / General

About The Book

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.

About The Author

Arkadii Slinko is currently Professor of Mathematics at the University of Auckland, New Zealand.

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