Crystals are known far and wide for their beauty and elegance. But even though they may appear perfect on the outside, their ...

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Researchers from The University of Osaka have developed a mathematical model for Volterra defects using differential geometry to analyze the relationships between different types of defects. Their ...

We show that all algebraic-geometric codes possess a succinct representation that allows for list decoding algorithms to run in polynomial time. We do this by presenting a root-finding algorithm for ...

In this paper, four algebraic and combinatorial constructions for optimal frequency-hopping sequence (FHS) sets employing additive groups of finite fields, u-flats in projective geometries and ...