Finite Fields with Applications to Coding Theory, Cryptography and Related Areas Proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21–25, 2001

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.