Codes from Hall planes of even order
نویسندگان
چکیده
We show that the binary code C of the projective Hall plane Hq2 of even order q where q = 2, for t ≥ 2 has words of weight 2q in its hull that are not the difference of the incidence vectors of two lines of Hq2 ; together with an earlier result for the dual Hall planes of even order, this shows that for all t ≥ 2 the Hall plane and its dual are not tame. We also deduce that dim(C) > 3+1, the dimension of the binary code of the desarguesian projective plane of order 2, thus supporting the Hamada-Sachar conjecture for this infinite class of planes.
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