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Discrete Algebraic Methods

Arithmetic, Cryptography, Automata and Groups

By: Volker Diekert,Manfred Kufleitner,Gerhard Rosenberger,Ulrich Hertrampf

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Discrete Algebraic Methods

Arithmetic, Cryptography, Automata and Groups

By: Volker Diekert,Manfred Kufleitner,Gerhard Rosenberger,Ulrich Hertrampf

The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents: Algebraic structures Cryptography Number theoretic algorithms Polynomial time primality test Elliptic curves Combinatorics on words Automata Discrete infinite groups

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Page Count

354

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110413337

ISBN 13

9783110413335

Discrete Algebraic Methods

Arithmetic, Cryptography, Automata and Groups

By: Volker Diekert,Manfred Kufleitner,Gerhard Rosenberger,Ulrich Hertrampf

Write a review Read reviews Take a Quiz Solve Book Puzzle

Discrete Algebraic Methods

Arithmetic, Cryptography, Automata and Groups

By: Volker Diekert,Manfred Kufleitner,Gerhard Rosenberger,Ulrich Hertrampf

The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents: Algebraic structures Cryptography Number theoretic algorithms Polynomial time primality test Elliptic curves Combinatorics on words Automata Discrete infinite groups

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Page Count

424

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110416328

ISBN 13

9783110416329