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Handbook of Finite Fields
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Artikel-Nr:
9781439873786
Veröffentl:
2013
Erscheinungsdatum:
17.06.2013
Seiten:
1070
Autor:
Gary L Mullen
Gewicht:
2086 g
Format:
261x183x58 mm
Sprache:
Englisch
Beschreibung:
Gary L. Mullen is a professor of mathematics at The Pennsylvania State University.
Poised to become the leading reference in the field, this definitive handbook is exclusively devoted to the theory and applications of finite fields. Edited by two renowned researchers and with more than 80 international contributors compiling state-of-the-art research, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The handbook provides a comprehensive index and easy access to over 3,000 references, enabling readers to quickly locate up-to-date facts and results regarding finite fields.
INTRODUCTION: History of Finite Fields. Introduction to Finite Fields. THEORETICAL PROPERTIES: Irreducible Polynomials. Primitive Polynomials. Bases. Exponential and Character Sums. Equations over Finite Fields. Permutation Polynomials. Special Functions over Finite Fields. Sequences over Finite Fields. Algorithms. Curves over Finite Fields. Miscellaneous Theoretical Topics. APPLICATIONS: Combinatorial. Algebraic Coding Theory. Cryptography. Miscellaneous Applications. Bibliography. Index.