**Contemporary Mathematics**

Volume: 461;
2008;
265 pp;
Softcover

MSC: Primary 11;

Print ISBN: 978-0-8218-4309-3

Product Code: CONM/461

List Price: $86.00

Individual Member Price: $68.80

**Electronic ISBN: 978-0-8218-8140-8
Product Code: CONM/461.E**

List Price: $86.00

Individual Member Price: $68.80

# Finite Fields and Applications

Share this page *Edited by *
*Gary L. Mullen; Daniel Panario; Igor E. Shparlinski*

This volume contains the proceedings of the Eighth International
Conference on Finite Fields and Applications, held in Melbourne,
Australia, July 9–13, 2007. It contains 5 invited survey papers
as well as original research articles covering various theoretical and
applied areas related to finite fields.

Finite fields, and the computational and algorithmic aspects of finite field
problems, continue to grow in importance and interest in the mathematical
and computer science communities because of their applications in so many
diverse areas. In particular, finite fields now play very important roles in
number theory, algebra, and algebraic geometry, as well as in computer
science, statistics, and engineering. Areas of application include algebraic
coding theory, cryptology, and combinatorial design theory.

#### Table of Contents

# Table of Contents

## Finite Fields and Applications

- Contents v6 free
- Preface vii8 free
- Analysis and optimization of elliptic-curve single-scalar multiplication 110 free
- On influences of Boolean variables and their computation 2130
- Subsequences of Sidelnikov sequences 3342
- A multi-level blocking distinct-degree factorization algorithm 4756
- New bounds on some parameters in the Waring problem for polynomials over a finite field 5968
- Dickson polynomial permutations 7988
- Ring theoretic study of linear codes using additive polynomials 91100
- Toward a complete twin primes theorem for polynomials over finite fields 103112
- On the distribution of the elliptic curve power generator 111120
- Discrete logarithms in curves over finite fields 119128
- Some remarks on the Hasse-Arf theorem 141150
- Character sums for sequences of iterations of Dickson polynomials 147156
- What can be used instead of a Barker sequence? 153162
- Order dividing extension fields and the root computation problem 179188
- Kasami bent functions are not equivalent to their duals 187196
- Equidistribution of roots of L-function of Gold exponential sum 199208
- Reduced linear modular systems 205214
- Cocyclic Butson Hadamard matrices and codes over Zn via the trace map 213222
- Dickson permutation polynomials that decompose in cycles of the same length 229238
- The simplex code over Galois rings 241250
- Finite fields and Galois geometries 251260

#### Readership

Graduate students and research mathematicians interested in finite fields and applications.