Handbook of finite fields

Gary L. Mullen, Daniel Panario

Research output: Book/ReportBook

123 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
PublisherCRC Press
Number of pages1010
ISBN (Electronic)9781439873823
ISBN (Print)9781439873786
DOIs
StatePublished - Jan 1 2013

Fingerprint

Galois field
Information theory
Polynomials
Quantum Information Theory
Algebraic Theory
Coding Theory
Special Functions
Systems Biology
Combinatorics
Covering
Trace
Engineering
Curve
Polynomial

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Mathematics(all)

Cite this

Mullen, Gary L. ; Panario, Daniel. / Handbook of finite fields. CRC Press, 2013. 1010 p.
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Handbook of finite fields. / Mullen, Gary L.; Panario, Daniel.

CRC Press, 2013. 1010 p.

Research output: Book/ReportBook

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