内容

目次

Modifications of the Rao-Nam Cryptosystem.- Efficient Reduction on the Jacobian Variety of Picard Curves.- Continued Fractions in Hyperelliptic Function Fields.- Discrete Logarithms: Recent Progress.- One-weight Z4-linear Codes.- Efficient Algorithms for the Jacobian Variety of Hyperelliptic Curves y2 = xp — x + 1 Over a Finite Field of Odd Characteristic p.- On Weierstrass Semigroups and One-point Algebraic Geometry Codes.- On the Undetected Error Probability of m-out-of-n Codes on the Binary Symmetric Channel.- Skew Pyramids of Function Fields Are Asymptotically Bad.- A Public Key Cryptosystem Based on Sparse Polynomials.- Higher Weights of Grassmann Codes.- Toric Surfaces and Error-correcting Codes.- Decoding Spherical Codes Generated by Binary Partitions of Symmetric Pointsets.- Worst-Case Analysis of an Algorithm for Computing the Greatest Common Divisor of n Inputs.- Zeta Functions of Curves over Finite Fields with Many Rational Points.- Codes on Drinfeld Modular Curves.- Elliptic Curves, Pythagorean Triples and Applications.- Exponential Sums and Stationary Phase (I).- Exponential Sums in Several Variables over Finite Fields.- Decoding Reed-Solomon Codes Beyond Half the Minimum Distance.- Reed-Muller Type Codes on the Veronese Variety over Finite Fields.- Cryptography Primitives Based on a Cellular Automaton.- Factoring the Semigroup Determinant of a Finite Commutative Chain Ring.