Finite fields and applications

InhaltsverzeichnisOn the Autocorrelation of Cyclotomic Generators.The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve.On Cyclic Top-Associative Generalized Galois Rings.Linear Recurrences with Polynomial Coefficients and Computation of the Cartier-Manin Operator on Hyperelliptic Curves.Mutual Irreducibility of Certain Polynomials.Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences.Symplectic Spreads and Permutation Polynomials.What Do Random Polynomials over Finite Fields Look Like?.Combinatorics of the Two-Variable Zeta Function.Constructions of Mutually Unbiased Bases.A Construction of Matrices with No Singular Square Submatrices.Everywhere Ramified Towers of Global Function Fields.On the Construction of Some Towers over Finite Fields.The Covering Radius of Some Primitive Ternary BCH Codes.The Gray Map on GR(p 2, n) and Repeated-Root Cyclic Codes.Primitive Polynomials over Small Fields.Vectorial Functions and Covering Sequences.u q -Sharp Subsets of a Finite Field.Cyclic Decomposition of Permutations of Finite Fields Obtained Using Monomials.