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Catalogue Information
Field name	Details
Dewey Class	511.1
Title	Finite Fields and Applications ([EBook] :) : 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.
Added Personal Name	Jungnickel, Dieter editor.
Added Personal Name	Niederreiter, Harald editor.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2001.
Physical Details	IX, 490 p. : online resource.
ISBN	9783642567551
Contents note	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-Gramain’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 -- Gauß Periods in Finite Fields -- Constructions of Orthomorphisms of ?2n -- Period Polynomials for $$ {F_{{{p {2}}}}} $$ 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-56755-1
Links to Related Works	Subject References: Algebra . Combinatorics . Computational Mathematics and Numerical Analysis . Computer mathematics . Data Encryption . Data encryption (Computer science) . Data structures (Computer science) . Data Structures, Cryptology and Information Theory . Discrete Mathematics . Mathematics . Authors: Jungnickel, Dieter . Niederreiter, Harald . Corporate Authors: SpringerLink (Online service) . Classification: 511.1 .

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Finite Fields and Applications: 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 /

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