Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Supports of a code.- Chemical isomerism, a challenge for algebraic combinatorics and for computer science.- On algebraic methods in covering radius problems.- How lower and upper complexity bounds meet in elimination theory.- Bivariate polynomial multiplication patterns.- Division of entire functions by polynomial ideals.- Variations on minimal codewords in linear codes.- On the computation of the radical of polynomial complete intersection ideals.- Which families of long binary linear codes have a binomial weight distribution?.- The discovery of simple 7-designs with automorphism group P?L(2, 32).- Fast exponentation in cryptography.- On maximal spherical codes I.- Formal computation of Galois groups with relative resolvents.- A case of automatic theorem proving in Euclidean geometry: the Maclane 83 theorem.- Isometry classes of indecomposable linear codes.- When polynomial equation systems can be “solved” fast?.- Using symmetric functions to describe the solution set of a zero dimensional ideal.- Triangular systems and factorized Gröbner bases.- Computation in algebraic function fields for effective construction of algebraic-geometric codes.- Singly-even self-dual codes and Hadamard matrices.- Implicitization of curves parameterized by generalized trigonometric polynomials.- Randomness properties of partial ? - ? planes as LSI test inputs and their implementations.- Mixed covering codes with two binary and four ternary coordinates.- About approximations of exponentials.- A note on normal bases.- On the covering radius of long Goppa codes.- Integration of multivariate rational functions given by straight-line programs.- Polynomial gcd computations over towers of algebraic extensions.- Displacements of matrix products.- Testing identities of series defined by algebraic partial differential equations.- The complexity of formal resolution of linear partial differential equations.- A fast parallel implementation of the Berlekamp-Massey algorithm with a 1D systolic array architecture.- Tomography of constructible functions.- On the determination of formal solutions of a system of partial differential equations.- D 4, E 6, E 8 and the AGM.- Computation of the Galois groups of the resolvent factors for the direct and inverse Galois problems.- First integrals and Darboux polynomials of homogeneous linear differential systems.