Arithmetic of Finite Fields

Structures in Finite Fields.- Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields.- Some Notes on d-Form Functions with Difference-Balanced Property.- A Note on Modular Forms on Finite Upper Half Planes.- Efficient Implementation and Architectures.- A Coprocessor for the Final Exponentiation of the ? T Pairing in Characteristic Three.- VLSI Implementation of a Functional Unit to Accelerate ECC and AES on 32-Bit Processors.- Efficient Multiplication Using Type 2 Optimal Normal Bases.- Efficient Finite Field Arithmetic.- Effects of Optimizations for Software Implementations of Small Binary Field Arithmetic.- Software Implementation of Arithmetic in .- Complexity Reduction of Constant Matrix Computations over the Binary Field.- Towards Optimal Toom-Cook Multiplication for Univariate and Multivariate Polynomials in Characteristic 2 and 0.- Classification and Construction of Mappings over Finite Fields.- A Construction of Differentially 4-Uniform Functions from Commutative Semifields of Characteristic 2.- Complete Mapping Polynomials over Finite Field F 16.- On the Classification of 4 Bit S-Boxes.- The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions.- Curve Algebra.- New Point Addition Formulae for ECC Applications.- Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation.- The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic.- Cryptography.- On Kabatianskii-Krouk-Smeets Signatures.- Self-certified Signatures Based on Discrete Logarithms.- Attacking the Filter Generator over GF(2 m ).- Codes.- Cyclic Additive and Quantum Stabilizer Codes.- Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given.- Error Correcting Codes from Quasi-Hadamard Matrices.- Fast Computations of Gröbner Bases and Blind Recognitions of Convolutional Codes.- Discrete Structures.- A Twin for Euler’s ? Function in .- Discrete Phase-Space Structures and Mutually Unbiased Bases.- Some Novel Results of p-Adic Component of Primitive Sequences over Z/(p d ).