Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression / Arkadii Slinko

• Autore: Slinko, Arkadii
• Pubblicazione: [Cham], : Springer, 2015
• Titolo uniforme: Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression
• Descrizione fisica: XIV, 328 p. : ill. ; 24 cm
• Soggetto topico: 11A05 - Multiplicative structure; Euclidean algorithm; greatest common divisors [MSC 2020]; 11A51 - Factorization; primality [MSC 2020]; 11C08 - Polynomials in number theory [MSC 2020]; 11C20 - Matrices, determinants in number theory [MSC 2020]; 11T06 - Polynomials over finite fields [MSC 2020]; 11T71 Algebraic coding theory; cryptography [MSC 2020]; 11Y05 - Factorization [MSC 2020]; 11Y11 - Primality [MSC 2020]; 11Y16 - Number-theoretic algorithms; complexity [MSC 2020]; 12E20 - Finite fields (field-theoretic aspects) [MSC 2020]; 14G50 - Applications to coding theory and cryptography of algebraic geometry [MSC 2020]; 14H52 - Elliptic curves [MSC 2020]; 20A05 - Axiomatics and elementary properties of groups [MSC 2020]; 20B30 - Symmetric groups [MSC 2020]; 68P25 - Data encryption [MSC 2020]; 68P30 - Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) [MSC 2020]; 94A60 - Cryptography [MSC 2020]; 94A62 - Authentication, digital signatures and secret sharing [MSC 2020]
• Soggetto non controllato: BCH Codes; Cryptography; Cryptology; Elgamal Cryptosystem; Elliptic curves; Error-Correcting Codes; Euler Totient Function; Factorization; Fingerprinting Codes; Finite fields; Fitingof’s Compression Code; Integers; Lagrange Interpolation; Linear Codes; Linear Secret Sharing Scheme; Miller-Rabin Pseudoprimality Test; Permutation Groups; Polynomials; Prefix Codes; Primality Testing
• Nota di contenuto: 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-study.
• Titolo autorizzato: Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00113703
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: http://dx.doi.org/10.1007/978-3-319-21951-6
• Serie: Springer undergraduate mathematics series Berlin [etc.] . -Springer , 1998-