Finite Fields and Applications

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 combinatorialdesign theory.

Analysis and optimization of elliptic-curve single-scalar multiplication
On influences of Boolean variables and their computation
Subsequences of Sidelnikov sequences
A multi-level blocking distinct-degree factorization algorithm
New bounds on some parameters in the Waring problem for polynomials over a finite field
Dickson polynomial permutations
Ring theoretic study of linear codes using additive polynomials
Toward a complete twin primes theorem for polynomials over finite fields
On the distribution of the elliptic curve power generator
Discrete logarithms in curves over finite fields
Some remarks on the Hasse-Arf theorem
Character sums for sequences of iterations of Dickson polynomials
What can be used instead of a Barker sequence?
Order dividing extension fields and the root computation problem
Kasami bent functions are not equivalent to their duals
Reduced linear modular systems
Cocyclic Butson Hadamard matrices and codes over $\mathbb{Z}_n$ via the trace map
Dickson permutation polynomials that decompose in cycles of the same length
Equidistribution of roots of $L$-function of Gold exponential sum
The simplex code over Galois rings
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Finite Fields and Applications

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