Handbook of Finite Fields

Gary L. Mullen, Daniel Panario

June 17, 2013 by Chapman and Hall/CRC
Reference - 1068 Pages - 12 B/W Illustrations
ISBN 9781439873786 - CAT# K13417
Series: Discrete Mathematics and Its Applications

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  • Gives a complete account of state-of-the-art theoretical and applied topics in finite fields
  • Describes numerous applications from the fields of computer science and engineering
  • Presents the history of finite fields and a brief summary of basic results
  • Discusses theoretical properties of finite fields
  • Covers applications in cryptography, coding theory, and combinatorics
  • Includes many remarks to further explain the various results
  • Contains more than 3,000 references, including citations to proofs of important results
  • Offers extensive tables of polynomials useful for computational issues, with even larger tables available on the book’s CRC Press web page

Watch Gary L. Mullen discuss the book.


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.