Preface. Acknowledgments. Notation. Introduction. Links flowchart. 1. Polynomial Factorization. 2. Finding Irreducible and Primitive Polynomials. 3. The Distribution of Irreducible, Primitive and Other Special Polynomials and Matrices. 4. Bases and Computation in Finite Fields. 5. Coding Theory and Algebraic Curves. 6. Elliptic Curves. 7. Recurrence Sequences in Finite Fields and Cyclic Linear Codes. 8. Finite Fields and Discrete Mathematics. 9. Congruences. 10. Some Related Problems. Appendix 1. Appendix 2. Appendix 3. References. Index.
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