Topics of interest include, but are not limited to:
<li> <strong>Field-theoretic aspects of finite fields:</strong>
structure of finite fields, normal bases, polynomials,
primitive elements, number-theoretic aspects of finite fields, exponential sums, arithmetic
theory of function fields.
algorithms and complexity, polynomial factorization, decomposition
and irreducibility testing, sequences and functions.
<li><strong>Applications:</strong> algebraic coding theory, cryptography, affine and projective geometry over finite
fields, algebraic geometry over finite fields, finite incidence geometry, designs and congurations, difference sets, combinatorics, generalisations of finite fields.