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Conference papers

The second and the third smallest arrangements of hyperplanes in finite projective spaces

Daniele Bartoli 1, * Leo Storme 1 
Abstract : In this paper we determine the second and the third smallest configuration of hyperplanes in PG(N, q). We present links with the unique extendability of arcs in PG(2, q), and with (k, 3)-arcs having a unique trisecant. These results have links to the study of weights of the d-th order q-ary projective Reed-Muller codes PRM(q, d, N).
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https://hal.inria.fr/hal-01276476
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Submitted on : Friday, February 19, 2016 - 2:28:45 PM
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Daniele Bartoli, Leo Storme. The second and the third smallest arrangements of hyperplanes in finite projective spaces. The 9th International Workshop on Coding and Cryptography 2015 WCC2015, Anne Canteaut, Gaëtan Leurent, Maria Naya-Plasencia, Apr 2015, Paris, France. ⟨10.1016/j.ffa.2015.10.001⟩. ⟨hal-01276476⟩

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