7,271 research outputs found

    Families of nested completely regular codes and distance-regular graphs

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    In this paper infinite families of linear binary nested completely regular codes are constructed. They have covering radius ρ\rho equal to 33 or 44, and are 1/2i1/2^i-th parts, for i{1,,u}i\in\{1,\ldots,u\} of binary (respectively, extended binary) Hamming codes of length n=2m1n=2^m-1 (respectively, 2m2^m), where m=2um=2u. In the usual way, i.e., as coset graphs, infinite families of embedded distance-regular coset graphs of diameter DD equal to 33 or 44 are constructed. In some cases, the constructed codes are also completely transitive codes and the corresponding coset graphs are distance-transitive

    Extended Seismic Source Characterisation using Linear Programming Inversion in a Dual Formulation

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    A linear programming (LP) inversion method in a dual formulation was applied to reconstruct the kinematics of finite seismic ruptures. In a general setting, this approach can yield results from several data sets: strong ground motion, teleseismic waveforms or/and geodesic data (static deformation). The dual formulation involves the transformation of a normal solution space into an equivalent but reduced space: the dual space. The practical result of this transformation is a simpler inversion problem that is therefore faster to resolve, more stable and more robust. The developed algorithm includes a forward problem that calculates Green’s functions using a finite differences method with a 3D structure model. To evaluate the performance of this algorithm, we applied it to the reconstitution of a realistic slip distribution model from a data set synthesised using this model, i.e., the solution of the forward problem. Several other standard inversion approaches were applied to the same synthetic data for comparison

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