A polynomial over a finite ring R is called permutation polynomial if it induces a bijection from R to R. Permutation polynomials have been a subject of study for many years and have applications in many areas of science and engineering. This monograph contains some results related to permutation polynomials over finite rings and finite fields. A survey of known results and detailed bibliograph…
CONTENTS: 1. History of Finite Fields 2. Introduction to Finite Fields 3. Irreducible Polynomials 4. Primitive Polynomials 5. Bases 6. Exponential and Character Sums 7. Equations over Finite Fields 8. Permutation Polynomials 9. Special Functions over Finite Fields 10. Sequences over Finite Fields 11. Algorithms 12. Curves over Finite Fields 13. Miscellaneous Theoretical Topics …
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