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- W2129121973 abstract "We show that the binary code C of the projective Hall plane $${mathcal{H}_{q^2}}$$ of even order q 2 where q = 2 t , for $${t geq 2}$$ has words of weight 2q 2 in its hull that are not the difference of the incidence vectors of two lines of $${mathcal{H}_{q^2}}$$ ; together with an earlier result for the dual Hall planes of even order, this shows that for all $${t geq 2}$$ the Hall plane and its dual are not tame. We also deduce that $${{rm dim}(C) > 3^{2t} + 1}$$ , the dimension of the binary code of the desarguesian projective plane of order 22t , thus supporting the Hamada–Sachar conjecture for this infinite class of planes." @default.
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- W2129121973 date "2013-10-31" @default.
- W2129121973 modified "2023-10-15" @default.
- W2129121973 title "Codes from Hall planes of even order" @default.
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- W2129121973 doi "https://doi.org/10.1007/s00022-013-0189-8" @default.
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