These are the proceedings of WAIFI 2008, the second workshop on the Ari- metic of Finite Fields, that was held in Siena, Italy, July 6-9, 2008. The ?rst workshop, WAIFI 2007, which was held in Madrid (Spain), was received quite enthusiasticallybymathemati
Structures in Finite Fields.- Interpolation of the Double Discrete Logarithm.- Finite Dedekind Sums.- Transitive q-Ary Functions over Finite Fields or Finite Sets: Counts, Properties and Applications.- Efficient Finite Field Arithmetic.- Fast Point Multip