Jungnickel / Niederreiter Finite Fields and Applications

Proceedings of The Fifth International Conference on Finite Fields and Applications Fq 5, held at the University of Augsburg, Germany, August 2–6, 1999
2001
ISBN: 978-3-642-56755-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 490 Seiten, eBook

Zielgruppe

Research

Autoren/Hrsg.

Jungnickel, Dieter

Niederreiter, H.

Inhaltsverzeichnis

Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings by K.Abdukhalikov.- Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound by I.Alshnikov, V.Deolalikar, P.V.Kumar, H.Stichtenoth.- Self-Dual Normal Bases and Related Topics by E.Bayer-Fluckiger.- Permutations amongst the Dembowski-Ostrom Polynomials by A.Blokhuis, R.S.Coulter, M.Henderson, C.M.O'Keefe.- Associative Rational Functions in Two Variables by J.V.Brawley, S.Gao and D.Mills.- A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences by E.Cakcak.- Gelfond-Gramain's Theorem for Function Fields by M.Car.- On Generalized Bent and q-ary Perfect Nonlinear Functions by C.Carlet, S.Dubuc.- Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group by C.Cerroni, R.Hardo Schulz.- A Permutation of a Small Infinite Field by S.D.Cohen.- Almost Perfect Nonlinear Power Functions on GF(2n): A New Case for n Divisible by 5 by H.Dobbertin.- On Non-Abelian Semi-Regular Relative Difference Sets by D.Elvira, Y.Hiramine.- Applications of Arithmetical Geometry to Cryptographic Constructions by G.Frey.- Gauß Periods in Finite Fields by J.von zur Gathen, I.Shparlinski.- Construction of Orthomorphisms of Zn2 by S.W.Golomb, G.Gong, L.Mittenthal.- Period Polynomials for Fp2 of Fixed Small Degree by S.Gurak.- Universal Generators for Primary Closures of Galois Fields by D.Hachenberger.- Irreducible Polynomials Generated by Decimations by F. von Haeseler, W.Jürgensen.- Decoding Reed-Muller Codes beyond Half the Minimum Distance by A.E.Heydtmann, T.Jakobsen.- On Binary Cyclic Codes with Few Weights by H.D.L.Hollmann, Q. Xiang.- MacWilliams Identities for Linear Codes over Finite Frobenius Rings by T.Honold, I.Landjev.- Cyclotomic Function Fields with Many Rational Places by A.Keller.- On the Siamese Twin Designs by H.Kharaghani.- On the Brauer Monoid for Finite Fields by V.V.Kirichenko,B.V.Novikov.- Algorithms for Factoring Polynomials over Finite Fields by T.Lange, A.Winterhof.- Gauss Sums over Quasi-Frobenius Rings by P.Langevin, P.Sole.- On the Early History of Galois Fields by H.Lüneburg.- Linear Blocking Sets: a Survey by G.Lunardon, O.Polverino.- Comparison of Techniques on Divisibility Properties of Exponential Sums and Applications by O.Moreno and F.N.Castro.- On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over Fq by S.Müller.- A Permutation Problem for Finite Fields by A.R.Prince.- The L-Function of Gold Exponential Sums by K.Shum, P.V.Kumar, T.Helleseth.- On Permutation Polynomials and Derivable Translation Planes by R.Vincenti.- Pure L-Functions from Algebraic Geometry of Finite Fields by D.Wan.- Incomplete Additive Character Sums and Applications by A.Winterhof.- Applications of Algebraic Curves to Constructions of Codes and Almost Perfect Sequences by C.Xing and H.Niederreiter.- Author Index