國立虎尾科技大學 |

Algebra for applications = cryptography, secret sharing, error-correcting, fingerprinting, compression /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Algebra for applications/ by Arkadii Slinko.
Reminder of title:	cryptography, secret sharing, error-correcting, fingerprinting, compression /
Author:	Slinko, A. M.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xvii, 395 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Algebra. -
Online resource:	https://doi.org/10.1007/978-3-031-82626-9
ISBN:	9783031826269

Algebra for applications = cryptography, secret sharing, error-correcting, fingerprinting, compression /
Slinko, A. M.

Algebra for applicationscryptography, secret sharing, error-correcting, fingerprinting, compression /[electronic resource] :by Arkadii Slinko. - Third edition. - Cham :Springer Nature Switzerland :2025. - xvii, 395 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate mathematics series,2197-4144. - Springer undergraduate mathematics series..

Integers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanea -- Solutions to Exercises -- Index.

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.

ISBN: 9783031826269

Standard No.: 10.1007/978-3-031-82626-9doiSubjects--Topical Terms:

579870
Algebra.

LC Class. No.: QA152.3

Dewey Class. No.: 512

Algebra for applications = cryptography, secret sharing, error-correcting, fingerprinting, compression /
LDR:02622nam a2200349 a 4500 001 1162529
003 DE-He213
005 20250520130230.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031826269 $q (electronic bk.)
020 $a 9783031826252 $q (paper)
024 7 $a 10.1007/978-3-031-82626-9 $2 doi
035 $a 978-3-031-82626-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA152.3
072 7 $a PBF $2 bicssc
072 7 $a MAT002000 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512 $2 23
090 $a QA152.3 $b .S633 2025
100 1 $a Slinko, A. M. $3 1489332
245 1 0 $a Algebra for applications $h [electronic resource] : $b cryptography, secret sharing, error-correcting, fingerprinting, compression / $c by Arkadii Slinko.
250 $a Third edition.
260 $a Cham : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xvii, 395 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer undergraduate mathematics series, $x 2197-4144
505 0 $a Integers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanea -- Solutions to Exercises -- Index.
520 $a 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.
650 0 $a Algebra. $2 gtt $3 579870
650 2 4 $a Mathematical Applications in Computer Science. $3 815331
650 2 4 $a Discrete Mathematics. $3 796600
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Springer undergraduate mathematics series. $3 839247
856 4 0 $u https://doi.org/10.1007/978-3-031-82626-9
950 $a Mathematics and Statistics (SpringerNature-11649)