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Handbook of Finite Fields - Gary L. Mullen, Daniel Panario

Handbook of Finite Fields

Buch | Softcover
1070 Seiten
2024
Chapman & Hall/CRC (Verlag)
978-1-032-91732-0 (ISBN)
CHF 226,95 inkl. MwSt
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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
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed.

The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.

Gary L. Mullen is a professor of mathematics at The Pennsylvania State University. Daniel Panario is a professor of mathematics at Carleton University.

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.

Erscheinungsdatum
Reihe/Serie Discrete Mathematics and Its Applications
Zusatzinfo 12 Illustrations, black and white
Sprache englisch
Maße 178 x 254 mm
Gewicht 1973 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 1-032-91732-6 / 1032917326
ISBN-13 978-1-032-91732-0 / 9781032917320
Zustand Neuware
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