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- W4226409498 abstract "Let $ G_2(q) $ be a Chevalley group of type $ G_2 $ over a finite field $ mathbb{F}_q $. Considering the $ G_2(q) $-primitive action of rank $ 3 $ on the set of $ frac{q^3(q^3-1)}{2} $ hyperplanes of type $ O_{6}^{-}(q) $ in the $ 7 $-dimensional orthogonal space $ {{rm{PG}}}(7, q) $, we study the designs, codes, and some related geometric structures. We obtained the main parameters of the codes, the full automorphism groups of these structures, and geometric descriptions of the classes of minimum weight codewords." @default.
- W4226409498 created "2022-05-05" @default.
- W4226409498 creator A5050001193 @default.
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- W4226409498 date "2023-01-01" @default.
- W4226409498 modified "2023-09-25" @default.
- W4226409498 title "On some codes from rank 3 primitive actions of the simple Chevalley group $ G_2(q) $" @default.
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- W4226409498 doi "https://doi.org/10.3934/amc.2022016" @default.
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