Finite Fields and Applications
Editor
- Dieter Jungnickel(Universität Augsburg, Lehrstuhl für Diskrete Mathematik, Optimierung und Operations Research)Harald Niederreiter(National University of Singapore, Department of Mathematics)
Abstract
Individual chapters are listed in the "Chapters" tab
Suggested Citation
DOI: 10.1007/978-3-642-56755-1
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Book Chapters
The following chapters of this book are listed in IDEAS- Kanat Abdukhalikov, 2001. "Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 1-13, Springer.
- Ilia Aleshnikov & Vinay Deolalikar & P. Vijay Kumar & Henning Stichtenoth, 2001. "Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 14-24, Springer.
- Eva Bayer-Fluckiger, 2001. "Self-Dual Normal Bases and Related Topics," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 25-36, Springer.
- Aart Blokhuis & Robert S. Coulter & Marie Henderson & Christine M. O’Keefe, 2001. "Permutations amongst the Dembowski-Ostrom Polynomials," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 37-42, Springer.
- Joel V. Brawley & Shuhong Gao & Donald Mills, 2001. "Associative Rational Functions in Two Variables," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 43-56, Springer.
- Emrah Çakçak, 2001. "A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 57-69, Springer.
- Mireille Car, 2001. "Gelfond-Gramain’s Theorem for Function Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 70-80, Springer.
- Claude Carlet & Sylvie Dubuc, 2001. "On Generalized Bent and q-ary Perfect Nonlinear Functions," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 81-94, Springer.
- Cinzia Cerroni & Ralph-Hardo Schulz, 2001. "Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 95-108, Springer.
- Stephen D. Cohen, 2001. "A Permutation of a Small Infinite Field," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 109-112, Springer.
- Hans Dobbertin, 2001. "Almost Perfect Nonlinear Power Functions on GF(2 n ): A New Case for n Divisible by 5," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 113-121, Springer.
- Dominic Elvira & Yutaka Hiramine, 2001. "On Non-Abelian Semi-Regular Relative Difference Sets," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 122-127, Springer.
- Gerhard Frey, 2001. "Applications of Arithmetical Geometry to Cryptographic Constructions," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 128-161, Springer.
- Joachim von zur Gathen & Igor Shparlinski, 2001. "Gauß Periods in Finite Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 162-177, Springer.
- Solomon W. Golomb & Guang Gong & Lothrop Mittenthal, 2001. "Constructions of Orthomorphisms of ℤ 2 n," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 178-195, Springer.
- Stanley Gurak, 2001. "Period Polynomials for $$ {F_{{{p^{2}}}}} $$ of Fixed Small Degree," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 196-207, Springer.
- Dirk Hachenberger, 2001. "Universal Generators for Primary Closures of Galois Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 208-223, Springer.
- Fritz von Haeseler & Wibke Jürgensen, 2001. "Irreducible Polynomials Generated by Decimations," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 224-231, Springer.
- Agnes E. Heydtmann & Thomas Jakobsen, 2001. "Decoding Reed-Muller Codes beyond Half the Minimum Distance," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 232-250, Springer.
- Henk D. L. Hollmann & Qing Xiang, 2001. "On Binary Cyclic Codes With Few Weights," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 251-275, Springer.
- Thomas Honold & Ivan Landjev, 2001. "MacWilliams Identities for Linear Codes over Finite Frobenius Rings," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 276-292, Springer.
- Alice Keller, 2001. "Cyclotomic Function Fields with Many Rational Places," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 293-302, Springer.
- H. Kharaghani, 2001. "On the Siamese Twin Designs," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 303-312, Springer.
- Vladimir V. Kirichenko & Boris V. Novikov, 2001. "On the Brauer Monoid for Finite Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 313-318, Springer.
- Tanja Lange & Arne Winterhof, 2001. "Algorithms for Factoring Polynomials over Finite Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 319-328, Springer.
- Philippe Langevin & Patrick Solé, 2001. "Gauss Sums over Quasi-Frobenius Rings," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 329-340, Springer.
- Heinz Lüneburg, 2001. "On the Early History of Galois Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 341-355, Springer.
- Guglielmo Lunardon & Olga Polverino, 2001. "Linear Blocking Sets: A Survey," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 356-362, Springer.
- Oscar Moreno & Francis N. Castro, 2001. "Comparison of Techniques on Divisibility Properties of Exponential Sums and Applications," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 363-389, Springer.
- Siguna Müller, 2001. "On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over $$ {\mathbb{F}_{q}} $$," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 390-408, Springer.
- Alan R. Prince, 2001. "A Permutation Problem for Finite Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 409-417, Springer.
- Kenneth Shum & P. Vijay Kumar & Tor Helleseth, 2001. "The L-Function of Gold Exponential Sum," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 418-427, Springer.
- Rita Vincenti, 2001. "On Permutation Polynomials and Derivable Translation Planes," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 428-436, Springer.
- Daqing Wan, 2001. "Pure L-Functions from Algebraic Geometry over Finite Fields," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 437-461, Springer.
- Arne Winterhof, 2001. "Incomplete Additive Character Sums and Applications," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 462-474, Springer.
- Chaoping Xing & Harald Niederreiter, 2001. "Applications of Algebraic Curves to Constructions of Codes and Almost Perfect Sequences," Springer Books, in: Dieter Jungnickel & Harald Niederreiter (ed.), Finite Fields and Applications, pages 475-489, Springer.
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