Information on Result #894270

Linear OOA(2229, 4194336, F2, 2, 15) (dual of [(4194336, 2), 8388443, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(268, 4194303, F2, 2, 7) (dual of [(4194303, 2), 8388538, 8]-NRT-code), using
  2. linear OOA(2161, 2097168, F2, 2, 15) (dual of [(2097168, 2), 4194175, 16]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2161, 4194336, F2, 15) (dual of [4194336, 4194175, 16]-code), using
      • construction X applied to Ce(14) ⊂ Ce(10) [i] based on
        1. linear OA(2155, 4194304, F2, 15) (dual of [4194304, 4194149, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
        2. linear OA(2111, 4194304, F2, 11) (dual of [4194304, 4194193, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
        3. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.