Finite Fields and Applications [electronic resource] : 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003. Revised Papers / edited by Gary L. Mullen, Alain Poli, Henning Stichtenoth.

On 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.