Title | Finite Fields with Applications to Coding Theory, Cryptography and Related Areas [electronic resource] : Proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, Mรฉxico, May 21-25, 2001 / edited by Gary L. Mullen, Henning Stichtenoth, Horacio Tapia-Recillas |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2002 |
Connect to | http://dx.doi.org/10.1007/978-3-642-59435-9 |
Descript | IX, 335 p. online resource |
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 PattersonโWiedemann -- 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 $${Z_{{p̂{k + 1}}}}$$ -Linear Code -- Construction of Modular Curves and Computation of Their Cardinality over Fp -- Asymptotic Properties of Global Fields -- Author Index