Finite Fields and Applications

Jungnickel, Dieter; Niederreiter, Harald

Finite Fields and Applications

Edited by Dieter Jungnickel () and Harald Niederreiter ()

in Springer Books from Springer

Date: 2001
ISBN: 978-3-642-56755-1
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Chapters in this book:

Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings: Kanat Abdukhalikov
Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound: Ilia Aleshnikov, Vinay Deolalikar, P. Vijay Kumar and Henning Stichtenoth
Self-Dual Normal Bases and Related Topics: Eva Bayer-Fluckiger
Permutations amongst the Dembowski-Ostrom Polynomials: Aart Blokhuis, Robert S. Coulter, Marie Henderson and Christine M. O’Keefe
Associative Rational Functions in Two Variables: Joel V. Brawley, Shuhong Gao and Donald Mills
A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences: Emrah Çakçak
Gelfond-Gramain’s Theorem for Function Fields: Mireille Car
On Generalized Bent and q-ary Perfect Nonlinear Functions: Claude Carlet and Sylvie Dubuc
Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group: Cinzia Cerroni and Ralph-Hardo Schulz
A Permutation of a Small Infinite Field: Stephen D. Cohen
Almost Perfect Nonlinear Power Functions on GF(2 n ): A New Case for n Divisible by 5: Hans Dobbertin
On Non-Abelian Semi-Regular Relative Difference Sets: Dominic Elvira and Yutaka Hiramine
Applications of Arithmetical Geometry to Cryptographic Constructions: Gerhard Frey
Gauß Periods in Finite Fields: Joachim von zur Gathen and Igor Shparlinski
Constructions of Orthomorphisms of ℤ 2 n: Solomon W. Golomb, Guang Gong and Lothrop Mittenthal
Period Polynomials for $$ {F_{{{p^{2}}}}} $$ of Fixed Small Degree: Stanley Gurak
Universal Generators for Primary Closures of Galois Fields: Dirk Hachenberger
Irreducible Polynomials Generated by Decimations: Fritz von Haeseler and Wibke Jürgensen
Decoding Reed-Muller Codes beyond Half the Minimum Distance: Agnes E. Heydtmann and Thomas Jakobsen
On Binary Cyclic Codes With Few Weights: Henk D. L. Hollmann and Qing Xiang
MacWilliams Identities for Linear Codes over Finite Frobenius Rings: Thomas Honold and Ivan Landjev
Cyclotomic Function Fields with Many Rational Places: Alice Keller
On the Siamese Twin Designs: H. Kharaghani
On the Brauer Monoid for Finite Fields: Vladimir V. Kirichenko and Boris V. Novikov
Algorithms for Factoring Polynomials over Finite Fields: Tanja Lange and Arne Winterhof
Gauss Sums over Quasi-Frobenius Rings: Philippe Langevin and Patrick Solé
On the Early History of Galois Fields: Heinz Lüneburg
Linear Blocking Sets: A Survey: Guglielmo Lunardon and Olga Polverino
Comparison of Techniques on Divisibility Properties of Exponential Sums and Applications: Oscar Moreno and Francis N. Castro
On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over $$ {\mathbb{F}_{q}} $$: Siguna Müller
A Permutation Problem for Finite Fields: Alan R. Prince
The L-Function of Gold Exponential Sum: Kenneth Shum, P. Vijay Kumar and Tor Helleseth
On Permutation Polynomials and Derivable Translation Planes: Rita Vincenti
Pure L-Functions from Algebraic Geometry over Finite Fields: Daqing Wan
Incomplete Additive Character Sums and Applications: Arne Winterhof
Applications of Algebraic Curves to Constructions of Codes and Almost Perfect Sequences: Chaoping Xing and Harald Niederreiter

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DOI: 10.1007/978-3-642-56755-1

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