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Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / Ronald C. Mullin, Gary L. Mullen, editors.

Contemporary Mathematics Backfile (1980-2011) Available online

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Format:
Book
Conference/Event
Author/Creator:
International Conference on Finite Fields: Theory, Applications, and Algorithms, Corporate Author.
Contributor:
Mullin, Ronald C. (Ronald Cleveland), 1936- editor.
Mullen, Gary L., editor.
Conference Name:
International Conference on Finite Fields: Theory, Applications, and Algorithms (4th : 1997 : University of Waterloo), issuing body.
International Conference on Finite Fields: Theory, Applications, and Algorithms.
Series:
Contemporary mathematics, 0271-4132 225.
Contemporary mathematics, 225 0271-4132
Language:
English
Subjects (All):
Finite fields (Algebra)--Congresses.
Finite fields (Algebra).
Physical Description:
1 online resource (258 p.)
Edition:
1st ed.
Place of Publication:
Providence, Rhode Island : American Mathematical Society, [1999]
Language Note:
English
Summary:
The Ontario conference drew workers from theoretical, applied, and algorithm finite field theory to share their recent findings applying finite fields to such areas as number theory, algebra, and algebraic geometry. The 21 topics include actions of linearized polynomials on the algebraic closure of a finite field, kernels and defaults, computing zeta functions over finite fields, and the state complexity of some long codes. No index. Member prices are $39 for institutions and $29 for individuals. Annotation copyrighted by Book News, Inc., Portland, OR
Contents:
Contents
Preface
Computing composed products of polynomials
Actions of linearized polynomials on the algebraic closure of a finite field
On degree bounds for invariant rings of finite groups over finite fields
Irreducible polynomials of given forms
An application of Galois calculus to Fq[t]
Composition behavior of sub-linearised polynomials over a finite field
Kernels and defaults
Global function fields with many rational places and their applications
Traces of roots of unity over prime fields
The Fermat curve in characteristic p
Computing zeta functions over finite fields
Cyclic alternant codes induced by an automorphism of a GRS code
On Kerdock codes
Permutation group of the q-ary image of some qm-ary cyclic codes
The number of solutions to a system of equations and spectra of codes
The LD probable prime test
Carmichael numbers and Lucas tests
On the state complexity of some long codes
ID-based key distribution system over an elliptic curve
Symmetric sets of curves and combinatorial arrays
Weight functions and the extension theorem for linear codes over finite rings.
Notes:
Description based upon print version of record.
Includes bibliographical references.
Description based on print version record.
ISBN:
0-8218-7816-6
0-8218-5561-1

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