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Discrete Algebraic Methods - Arithmetic, Cryptography, Automata and Groups (Paperback, Digital original)
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Discrete Algebraic Methods - Arithmetic, Cryptography, Automata and Groups (Paperback, Digital original)
Series: De Gruyter Textbook
Expected to ship within 10 - 15 working days
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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
General
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