Finite Fields with Applications to Coding Theory, Cryptography and Related Areas
Proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21-25, 2001
Published on 21. October 2011
Book
Paperback/Softback
IX, 335 pages
978-3-642-63976-0 (ISBN)
Description
This volume represents the refereed proceedings of the "Sixth International Conference on Finite Fields and Applications (Fq6)" held in the city of Oaxaca, Mexico, between 22-26 May 200l. The conference was hosted by the Departmento do Matermiticas of the U niversidad Aut6noma Metropolitana- Iztapalapa, Nlexico. This event continued a series of biennial international conferences on Finite Fields and Applications, following earlier meetings at the University of Nevada at Las Vegas (USA) in August 1991 and August 1993, the University of Glasgow (Scotland) in July 1995, the University of Waterloo (Canada) in August 1997, and at the University of Augsburg (Ger- many) in August 1999. The Organizing Committee of Fq6 consisted of Dieter Jungnickel (University of Augsburg, Germany), Neal Koblitz (University of Washington, USA), Alfred }. lenezes (University of Waterloo, Canada), Gary Mullen (The Pennsylvania State University, USA), Harald Niederreiter (Na- tional University of Singapore, Singapore), Vera Pless (University of Illinois, USA), Carlos Renteria (lPN, Mexico). Henning Stichtenoth (Essen Univer- sity, Germany). and Horacia Tapia-Recillas, Chair (Universidad Aut6noma l'vIetropolitan-Iztapalapa.
Mexico). The program of the conference consisted of four full days and one half day of sessions, with 7 invited plenary talks, close to 60 contributed talks, basic courses in finite fields. cryptography and coding theory and a series of lectures at local educational institutions. Finite fields have an inherently fascinating structure and they are im- portant tools in discrete mathematics.
Mexico). The program of the conference consisted of four full days and one half day of sessions, with 7 invited plenary talks, close to 60 contributed talks, basic courses in finite fields. cryptography and coding theory and a series of lectures at local educational institutions. Finite fields have an inherently fascinating structure and they are im- portant tools in discrete mathematics.
More details
Edition
Softcover reprint of the original 1st ed. 2002
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
IX, 335 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 19 mm
Weight
528 gr
ISBN-13
978-3-642-63976-0 (9783642639760)
DOI
10.1007/978-3-642-59435-9
Schweitzer Classification
Other editions
Additional editions
Gary L. Mullen | Henning Stichtenoth | Horacio Tapia-Recillas
Finite Fields with Applications to Coding Theory, Cryptography and Related Areas
Proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21-25, 2001
Book
09/2002
Springer
€85.55
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Content
Commutative Semifields of Rank 2 Over Their Middle Nucleus.- A Rao-Nam like Cryptosystem with Product Codes.- Pseudorandom Sequences from Elliptic Curves.- On Cryptographic Complexity of Boolean Functions.- On Divisibility of Exponential Sums over Finite Fields of Characteristic 2.- Value Sets of Polynomials over Finite Fields.- Bounds for Completely Decomposable Jacobians.- Twin Irreducible Polynomials over Finite Fields.- Invariants of Finite Groups over Finite Fields: Recent Progress and New Conjectures.- The Group Law on Elliptic Curves on Hesse form.- On Curves with Many Rational Points over Finite Fields.- VHDL Specification of a FPGA to Divide and Multiply in GF(2m).- Distribution of Irreducible Polynomials over F2.- Arithmetic on a Family of Picard Curves.- New Quantum Error-Correcting Codes from Hermitian Self-Orthogonal Codes over GF(4).- A Note on the Counter-Example of Patterson-Wiedemann.- Continued Fractions for Certain Algebraic Power Series over a Finite Field.- Linear Complexity and Polynomial Degree of a Function Over a Finite Field.- Primitive Roots in Cubic Extensions of Finite Fields.- On Polynomial Families in n Indeterminates over Finite Prime Fields Coming from Planar Functions.- Cryptanalysis of the Sakazaki-Okamoto-Mambo ID-based Key Distribution System over Elliptic Curves.- Differential and Linear Distributions of Substitution Boxes for Symmetric-Key Cryptosystems.- Exponential Sures and Lattice Reduction: Applications to Cryptography.- An Alternate Construction of the Berlekamp Subalgebra.- On the Fp-Linearity of the Generalized Gray Map Image of a
$${Z_{{p^{k + 1}}}}$$
-Linear Code.- Construction of Modular Curves and Computation of Their Cardinality over Fp.- Asymptotic Properties of Global Fields.- Author Index.