Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings -- Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound -- Self-Dual Normal Bases and Related Topics -- Permutations amongst the Dembowski-Ostrom Polynomials -- Associative Rational Functions in Two Variables -- A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences -- Gelfond-Gramainโ{128}{153}s Theorem for Function Fields -- On Generalized Bent and q-ary Perfect Nonlinear Functions -- Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group. -- A Permutation of a Small Infinite Field -- Almost Perfect Nonlinear Power Functions on GF(2n): A New Case for n Divisible by 5 -- On Non-Abelian Semi-Regular Relative Difference Sets -- Applications of Arithmetical Geometry to Cryptographic Constructions -- Gauร{159} Periods in Finite Fields -- Constructions of Orthomorphisms of ?2n -- Period Polynomials for $$ {F_{{{p̂{2}}}}} $$ of Fixed Small Degree -- Universal Generators for Primary Closures of Galois Fields -- Irreducible Polynomials Generated by Decimations -- Decoding Reed-Muller Codes beyond Half the Minimum Distance -- On Binary Cyclic Codes With Few Weights -- Mac Williams Identities for Linear Codes over Finite Frobenius Rings -- Cyclotomic Function Fields with Many Rational Places -- On the Siamese Twin Designs -- On the Brauer Monoid for Finite Fields -- Algorithms for Factoring Polynomials over Finite Fields -- Gauss Sums over Quasi-Frobenius Rings -- On the Early History of Galois Fields -- Linear Blocking Sets: a Survey -- Comparison of Techniques on Divisibility Properties of Exponential Sums and Applications -- On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over Fq -- A Permutation Problem for Finite Fields -- The L-Function of Gold Exponential Sum -- On Permutation Polynomials and Derivable Translation Planes -- Pure L-Functions from Algebraic Geometry over Finite Fields -- Incomplete Additive Character Sums and Applications -- Applications of Algebraic Curves to Constructions of Codes and Almost Perfect Sequences -- Author Index