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TitleFinite Fields and Applications [electronic resource] : Proceedings of The Fifth International Conference on Finite Fields and Applications F q 5, held at the University of Augsburg, Germany, August 2-6, 1999 / edited by Dieter Jungnickel, Harald Niederreiter
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001
Connect tohttp://dx.doi.org/10.1007/978-3-642-56755-1
Descript IX, 490 p. online resource

CONTENT

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


Mathematics Data structures (Computer science) Data encryption (Computer science) Algebra Computer mathematics Discrete mathematics Combinatorics Mathematics Discrete Mathematics Combinatorics Data Structures Cryptology and Information Theory Algebra Computational Mathematics and Numerical Analysis Data Encryption



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