Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Commutative Semifields of Rank 2 Over Their Middle Nucleus.- A Rao-Nam like Cryptosystem with Product Codes.- Pseudorandom Sequences from Elliptic Curves.- On Cryptographic Complexity of Boolean Functions.- On Divisibility of Exponential Sums over Finite Fields of Characteristic 2.- Value Sets of Polynomials over Finite Fields.- Bounds for Completely Decomposable Jacobians.- Twin Irreducible Polynomials over Finite Fields.- Invariants of Finite Groups over Finite Fields: Recent Progress and New Conjectures.- The Group Law on Elliptic Curves on Hesse form.- On Curves with Many Rational Points over Finite Fields.- VHDL Specification of a FPGA to Divide and Multiply in GF(2m).- Distribution of Irreducible Polynomials over F2.- Arithmetic on a Family of Picard Curves.- New Quantum Error-Correcting Codes from Hermitian Self-Orthogonal Codes over GF(4).- A Note on the Counter-Example of Patterson—Wiedemann.- Continued Fractions for Certain Algebraic Power Series over a Finite Field.- Linear Complexity and Polynomial Degree of a Function Over a Finite Field.- Primitive Roots in Cubic Extensions of Finite Fields.- On Polynomial Families in n Indeterminates over Finite Prime Fields Coming from Planar Functions.- Cryptanalysis of the Sakazaki-Okamoto-Mambo ID-based Key Distribution System over Elliptic Curves.- Differential and Linear Distributions of Substitution Boxes for Symmetric-Key Cryptosystems.- Exponential Sures and Lattice Reduction: Applications to Cryptography.- An Alternate Construction of the Berlekamp Subalgebra.- On the Fp-Linearity of the Generalized Gray Map Image of a$${Z_{{p^{k + 1}}}}$$-Linear Code.- Construction of Modular Curves and Computation of Their Cardinality over Fp.- Asymptotic Properties of Global Fields.- Author Index.