Arithmetic of Finite Fields

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 Multiplication on Elliptic Curves without Precomputation.- Optimal Extension Field Inversion in the Frequency Domain.- Efficient Finite Fields in the Maxima Computer Algebra System.- Efficient Implementation and Architectures.- Modular Reduction in GF(2 n ) without Pre-computational Phase.- Subquadratic Space Complexity Multiplication over Binary Fields with Dickson Polynomial Representation.- Digit-Serial Structures for the Shifted Polynomial Basis Multiplication over Binary Extension Fields.- Classification and Construction of Mappings over Finite Fields.- Some Theorems on Planar Mappings.- Classifying 8-Bit to 8-Bit S-Boxes Based on Power Mappings from the Point of DDT and LAT Distributions.- EA and CCZ Equivalence of Functions over GF(2 n ).- Codes and Cryptography.- On the Number of Two-Weight Cyclic Codes with Composite Parity-Check Polynomials.- On Field Size and Success Probability in Network Coding.- Montgomery Ladder for All Genus 2 Curves in Characteristic 2.- On Cryptographically Significant Mappings over GF(2 n ).