Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Algorithms for the shape of semialgebraic sets a new approach.- On the parameters of algebraic geometric codes.- On wiedemann's method of solving sparse linear systems.- Fast algorithms for decoding orthogonal and related codes.- Jacobian matrices and constructions in algebra.- Homogenity, pseudo-homogenity, and Grobner basis computations.- Arithmetic on non supersingular elliptic curves.- Implementing some algorithms of kantor.- Computing roadmaps of general semi-algebraic sets.- An improved sign determination algorithm.- The 2-nd generalized Hamming weight of double-error correcting binary BCH codes and their dual codes.- Buchberger algorithm and integer programming.- New systolic architectures for cyclic code encoding.- Algebraic constructions of efficient broadcast networks.- Error-correction for WIMs and WUMs.- Some constructions in rings of differential polynomials.- Concurrent error detection in sequential circuits using convolutional codes.- An algorithm for the computation of the radical of an ideal in the ring of polynomials.- Integer multiplication in PARSAC-2 on stock microprocessors.- Polynomial-time construction of spherical codes.- Algorithms for a multiple algebraic extension II.- On the orphans and covering radius of the reed-muller codes.- A joint authentication and encryption scheme based on algebraic coding theory.- Arithmetic codes - Survey, recent and new results.- Some results on linear unequal-error-protection codes specified by their generator matrix.- An ackermannian polynomial ideal.- Complexity of the computation of the canonical Whitney stratification of an algebraic set in Cn.- Some undecidability results for weakly confluent monadic string-rewriting systems.- Calculating multidimensional symmetric functions using Jacobi's formula.- Multivariate Sturm theory.- Binary spherical geometric codes.- An algebraic construction of generalized Beenker's codes.- Improving the time complexity of the computation of irreducible and primitive polynomials in finite fields.- Completely transitive codes and distance transitive graphs.- Placement of curved polygons.- On the weights of the elements of the duals of binary BCH codes.- Computation of the openness of some loci of modules.- Random and byte error correcting codes for asymmetric or unidirectional error control.- Finding a minimal polynomial vector set of a vector of nD arrays.- Covering codes and combinatorial optimization.- Decoding of quadrature partial response- trellis coded signals (QPR-TCM) in the presence of intersymbol interference and noise.- On algebraic solutions of linear differential equations with primitive unimodular Galois group.- Error detection and correction in numerical computations.- d-Functions in V k (F 2) and self-decimation of m-sequences.- Multilevel modulation codes for rayleigh fading channels.