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Showing 1 to 2 of 2 for “"Deligne-Lusztig Curves"”.

  1. Covers and invariants of Deligne-Lusztig curves

    … one or more of the Hermitian, Suzuki, and Ree curves, which are three families of algebraic curves over finite fields which have pronounced arithmetic and geometric properties. In the first part, we use a ray class field construction to produce covers of each of these three families of curves

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  2. Invariant embeddings of the Deligne-Lusztig curves with applications

    In this thesis we study Deligne-Lusztig curves associated to the simple groups $\AAA$, $\BB$, and $\GG$ with applications in algebraic geometry codes, hash families, and polar codes. This thesis consists of four parts, the first part presents our result in finding smooth embeddings for the …

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