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. It is intended for graduate students, advanced undergraduates, and scientists working in various fields of data security.
Written for: 
Researchers, graduate and advanced undergraduate students in Mathematics, Computer Science

- Cryptography.
- 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.
- Subject Index.

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