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Finite Fields with Applications to Coding Theory, Cryptography and Related Areas
Editor
Listed:
- Gary L. Mullen(The Pennsylvania State University, Department of Mathematics)Henning Stichtenoth(Universität Essen, FB6 Mathematik und Informatik)Horacio Tapia-Recillas(Universidad Autónoma Metropolitana, México, Departamento de Matemáticas)
Abstract
No abstract is available for this item.Individual chapters are listed in the "Chapters" tab
Suggested Citation
- Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), 2002. "Finite Fields with Applications to Coding Theory, Cryptography and Related Areas," Springer Books, Springer, number 978-3-642-59435-9, March.
Handle: RePEc:spr:sprbok:978-3-642-59435-9
DOI: 10.1007/978-3-642-59435-9
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Book Chapters
The following chapters of this book are listed in IDEAS- Simeon Ball & Michel Lavrauw, 2002. "Commutative Semifields of Rank 2 Over Their Middle Nucleus," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 1-21, Springer.
- Ángela I. Barbero & Juan G. Tena, 2002. "A Rao-Nam like Cryptosystem with Product Codes," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 22-36, Springer.
- P. H. T. Beelen & J. M. Doumen, 2002. "Pseudorandom Sequences from Elliptic Curves," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 37-52, Springer.
- Claude Carlet, 2002. "On Cryptographic Complexity of Boolean Functions," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 53-69, Springer.
- F. N. Castro & O. Moreno, 2002. "On Divisibility of Exponential Sums over Finite Fields of Characteristic 2," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 70-79, Springer.
- Pinaki Das & Gary L. Mullen, 2002. "Value Sets of Polynomials over Finite Fields," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 80-85, Springer.
- Iwan Duursma & Jean-Yves Enjalbert, 2002. "Bounds for Completely Decomposable Jacobians," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 86-93, Springer.
- Gove W. Effinger & Kenneth H. Hicks & Gary L. Mullen, 2002. "Twin Irreducible Polynomials over Finite Fields," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 94-111, Springer.
- Peter Fleischmann, 2002. "Invariants of Finite Groups over Finite Fields: Recent Progress and New Conjectures," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 112-122, Springer.
- Hege Reithe Frium, 2002. "The Group Law on Elliptic Curves on Hesse form," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 123-151, Springer.
- Arnaldo Garcia, 2002. "On Curves with Many Rational Points over Finite Fields," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 152-163, Springer.
- Mario Alberto García-Martínez & Guillermo Morales-Luna, 2002. "VHDL Specification of a FPGA to Divide and Multiply in GF(2 m )," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 164-176, Springer.
- Kenneth H. Hicks & Gary L. Mullen & Ikuro Sato, 2002. "Distribution of Irreducible Polynomials over F 2," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 177-186, Springer.
- Rolf-Peter Holzapfel & Florin Nicolae, 2002. "Arithmetic on a Family of Picard Curves," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 187-208, Springer.
- Jon-Lark Kim, 2002. "New Quantum Error-Correcting Codes from Hermitian Self-Orthogonal Codes over GF(4)," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 209-213, Springer.
- Philippe Langevin & Jean-Pierre Zanotti, 2002. "A Note on the Counter-Example of Patterson—Wiedemann," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 214-219, Springer.
- Alain Lasjaunias, 2002. "Continued Fractions for Certain Algebraic Power Series over a Finite Field," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 220-228, Springer.
- Wilfried Meidl & Arne Winterhof, 2002. "Linear Complexity and Polynomial Degree of a Function Over a Finite Field," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 229-238, Springer.
- Donald Mills & Gavin McNay, 2002. "Primitive Roots in Cubic Extensions of Finite Fields," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 239-250, Springer.
- Nobuo Nakagawa, 2002. "On Polynomial Families in n Indeterminates over Finite Prime Fields Coming from Planar Functions," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 251-262, Springer.
- Minghua Qu & Doug Stinson & Scott Vanstone, 2002. "Cryptanalysis of the Sakazaki-Okamoto-Mambo ID-based Key Distribution System over Elliptic Curves," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 263-269, Springer.
- Peter Roelse, 2002. "Differential and Linear Distributions of Substitution Boxes for Symmetric-Key Cryptosystems," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 270-285, Springer.
- Igor E. Shparlinski, 2002. "Exponential Sums and Lattice Reduction: Applications to Cryptography," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 286-298, Springer.
- Greg Stein, 2002. "An Alternate Construction of the Berlekamp Subalgebra," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 299-305, Springer.
- H. Tapia-Recillas & G. Vega, 2002. "On the F p -Linearity of the Generalized Gray Map Image of a $${Z_{{p^{k+1}}}}$$ -Linear Code," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 306-312, Springer.
- Cédric Tavernier, 2002. "Construction of Modular Curves and Computation of Their Cardinality over F p," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 313-327, Springer.
- M. A. Tsfasman, 2002. "Asymptotic Properties of Global Fields," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 328-334, Springer.
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