978-3-540-63446-1 / 9783540634461

Algebraic Aspects of Cryptography. Algorithms and Computation in Mathematics, Band 3




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About the book:

This is a textbook for a course or self-instruction in cryptography with emphasis on algebraic methods. The first half of the book is a self-contained informal introduction to areas of algebra, number theory, and computer science that are used in cryptography. Most of the material in the second half - "hidden monomial" systems, combinatorial-algebraic systems, and hyperelliptic systems - has not previously appeared in monograph form. The appendix by Menezes, Wu, and Zuccherato gives an elementary treatment of hyperelliptic curves. This book is intended for graduate students, advanced undergraduates, and scientists working in various fields of data security. TOCCryptography.- Complexity of Computations.- Algebra.- Hidden Monomial Cryptosystems.- Combinatorial-Algebraic Cryptosystems.- Elliptic and Hyperelliptic Cryptosystems.- Appendix An Elementary Introduction to Hyperelliptic Curves.- Answers to Excercises.- Bibliography.- Index.

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