Handbook of Finite Fields

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A01=Daniel Panario
A01=Gary L. Mullen
Abelian Varieties
advanced finite field research applications
algebraic structures
Author_Daniel Panario
Author_Gary L. Mullen
Category=PBCD
Category=PBD
Category=PBH
Category=PBV
Cayley Graph
Character Sums
coding theory applications
computational number theory
cryptography mathematics
curve
curves
Cyclic Code
Dickson Polynomials
Discrete Logarithm
Discrete Logarithm Problem
elliptic
Elliptic Curve
Elliptic Curves
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exponential Sums
Finite Field Fq
Finite Fields
finite fields in algebraic coding theory
finite fields in biology
finite fields in combinatorics
finite fields in cryptographic systems
finite fields in engineering
finite fields in quantum information theory
Galois Extension
history of finite fields
Hyperelliptic Curve
integer
irreducible
Irreducible Monic Polynomials
Irreducible Polynomial
LFSR
mathematical sequences
MDS Code
Minimal Polynomial
monic
Newton Polygon
permutation
Permutation Polynomials
polynomial
polynomial factorization
positive
primitive
Primitive Polynomials
Reciprocal Roots
Reed Muller Codes
Stream Ciphers
tables of polynomials
theoretical properties of finite fields
theory and applications of finite fields

Product details

  • ISBN 9781439873786
  • Weight: 2560g
  • Dimensions: 178 x 254mm
  • Publication Date: 17 Jun 2013
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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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.

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